insane engine sound
This commit is contained in:
@@ -1,4 +1,5 @@
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using System;
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using System.Numerics;
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using FluidSim.Interfaces;
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namespace FluidSim.Components
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@@ -6,7 +7,7 @@ namespace FluidSim.Components
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public enum BoundaryType
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{
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OpenEnd,
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ZeroPressureOpen, // pressure‑release boundary (strong reflection)
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ZeroPressureOpen,
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ClosedEnd,
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GhostCell
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}
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@@ -18,72 +19,99 @@ namespace FluidSim.Components
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public double Area => _area;
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public double DampingMultiplier { get; set; } = 1.0;
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private int _n;
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private double _dx, _dt, _gamma, _area, _diameter;
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private double[] _rho, _rhou, _E;
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private int _n; // number of real cells
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private float _dx, _dt; // spatial step, global time step
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private float _area, _diameter; // cross‑section, diameter
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private float _gamma; // ratio of specific heats (1.4)
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// Conserved variables – arrays sized [_n] (only real cells, ghosts handled externally)
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private float[] _rho;
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private float[] _rhou;
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private float[] _E;
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// Flux arrays for faces 0 .. _n (face i is between cell i-1 and i)
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private float[] _fluxM; // mass flux
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private float[] _fluxP; // momentum flux
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private float[] _fluxE; // energy flux
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// Ghost cell states
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private double _rhoGhostL, _uGhostL, _pGhostL;
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private double _rhoGhostR, _uGhostR, _pGhostR;
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private float _rhoGhostL, _uGhostL, _pGhostL;
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private float _rhoGhostR, _uGhostR, _pGhostR;
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private bool _ghostLSet, _ghostRSet;
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private BoundaryType _aBCType = BoundaryType.GhostCell;
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private BoundaryType _bBCType = BoundaryType.GhostCell;
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private double _aAmbientPressure = 101325.0;
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private double _bAmbientPressure = 101325.0;
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private float _aAmbientPressure = 101325f;
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private float _bAmbientPressure = 101325f;
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private const double CflTarget = 0.8;
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private const double ReferenceSoundSpeed = 340.0;
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private double _lastMassFlow = 0.0;
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// CFL / sub-stepping
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private const float CflTarget = 0.8f;
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private const float ReferenceSoundSpeed = 340f;
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private float _lastMassFlow = 0f;
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// Pre‑computed for damping
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private float _laminarCoeff; // 8*mu / r^2, then multiplied by DampingMultiplier
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public Pipe1D(double length, double area, int sampleRate, int forcedCellCount = 0)
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{
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double dtGlobal = 1.0 / sampleRate;
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float dtGlobal = 1f / sampleRate;
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int nCells;
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float dxTarget = ReferenceSoundSpeed * dtGlobal / CflTarget;
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if (forcedCellCount > 1)
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nCells = forcedCellCount;
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else
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{
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double dxTarget = ReferenceSoundSpeed * dtGlobal * CflTarget;
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nCells = Math.Max(2, (int)Math.Round(length / dxTarget, MidpointRounding.AwayFromZero));
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while (length / nCells > dxTarget * 1.01 && nCells < int.MaxValue - 1)
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nCells = Math.Max(2, (int)Math.Round((float)length / dxTarget, MidpointRounding.AwayFromZero));
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while (length / nCells > dxTarget * 1.01f && nCells < int.MaxValue - 1)
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nCells++;
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}
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_n = nCells;
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_dx = length / _n;
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_dx = (float)(length / nCells);
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_dt = dtGlobal;
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_area = area;
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_gamma = 1.4;
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_diameter = 2.0 * Math.Sqrt(area / Math.PI);
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_area = (float)area;
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_diameter = (float)(2.0 * Math.Sqrt(area / Math.PI));
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_gamma = 1.4f;
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_rho = new double[_n];
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_rhou = new double[_n];
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_E = new double[_n];
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_rho = new float[_n];
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_rhou = new float[_n];
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_E = new float[_n];
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// +1 because there are _n+1 faces
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_fluxM = new float[_n + 1];
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_fluxP = new float[_n + 1];
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_fluxE = new float[_n + 1];
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// Pre‑compute laminar damping coefficient (using air at 20°C)
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float mu_air = 1.8e-5f;
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float radius = _diameter * 0.5f;
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_laminarCoeff = 8f * mu_air / (radius * radius); // will be multiplied by DampingMultiplier at each step
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PortA = new Port();
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PortB = new Port();
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}
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// ==================== PUBLIC API (unchanged) ============================
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public void SetABoundaryType(BoundaryType type) => _aBCType = type;
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public void SetBBoundaryType(BoundaryType type) => _bBCType = type;
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public void SetAAmbientPressure(double p) => _aAmbientPressure = p;
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public void SetBAmbientPressure(double p) => _bAmbientPressure = p;
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public void SetAAmbientPressure(double p) => _aAmbientPressure = (float)p;
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public void SetBAmbientPressure(double p) => _bAmbientPressure = (float)p;
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public void SetGhostLeft(double rho, double u, double p)
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{
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_rhoGhostL = rho;
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_uGhostL = u;
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_pGhostL = p;
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_rhoGhostL = (float)rho;
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_uGhostL = (float)u;
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_pGhostL = (float)p;
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_ghostLSet = true;
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}
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public void SetGhostRight(double rho, double u, double p)
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{
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_rhoGhostR = rho;
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_uGhostR = u;
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_pGhostR = p;
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_rhoGhostR = (float)rho;
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_uGhostR = (float)u;
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_pGhostR = (float)p;
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_ghostRSet = true;
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}
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public void ClearGhostFlag()
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@@ -94,39 +122,73 @@ namespace FluidSim.Components
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public void SetUniformState(double rho, double u, double p)
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{
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double e = p / ((_gamma - 1) * rho);
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double Etot = rho * e + 0.5 * rho * u * u;
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float r = (float)rho;
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float vel = (float)u;
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float pr = (float)p;
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float e = pr / ((_gamma - 1f) * r);
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float Etot = r * e + 0.5f * r * vel * vel;
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for (int i = 0; i < _n; i++)
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{
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_rho[i] = rho;
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_rhou[i] = rho * u;
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_rho[i] = r;
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_rhou[i] = r * vel;
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_E[i] = Etot;
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}
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}
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public int GetCellCount() => _n;
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public double GetCellDensity(int i) => _rho[i];
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public double GetCellVelocity(int i)
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{
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float rho = Math.Max(_rho[i], 1e-12f);
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return _rhou[i] / rho;
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}
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public double GetCellPressure(int i)
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{
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float rho = Math.Max(_rho[i], 1e-12f);
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return (_gamma - 1f) * (_E[i] - 0.5f * _rhou[i] * _rhou[i] / rho);
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}
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public double GetPressureAtFraction(double fraction)
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{
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int i = (int)(fraction * (_n - 1));
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i = Math.Clamp(i, 0, _n - 1);
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return GetCellPressure(i);
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}
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public void SetCellState(int i, double rho, double u, double p)
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{
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if (i < 0 || i >= _n) return;
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float r = (float)rho;
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float vel = (float)u;
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float pr = (float)p;
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_rho[i] = r;
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_rhou[i] = r * vel;
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float e = pr / ((_gamma - 1f) * r);
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_E[i] = r * e + 0.5f * r * vel * vel;
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}
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public double GetOpenEndMassFlow()
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{
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if (_bBCType != BoundaryType.OpenEnd && _bBCType != BoundaryType.ZeroPressureOpen)
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return 0.0;
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int lastCell = _n - 1;
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double rho = _rho[lastCell];
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double u = _rhou[lastCell] / Math.Max(rho, 1e-12);
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double p = Pressure(lastCell);
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float rho = _rho[lastCell];
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float u = _rhou[lastCell] / Math.Max(rho, 1e-12f);
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float p = PressureScalar(lastCell);
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double c = Math.Sqrt(_gamma * p / rho);
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double uFace = u;
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double rhoFace = rho;
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double pFace = p;
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float c = MathF.Sqrt(_gamma * p / rho);
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float uFace = u;
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float rhoFace = rho;
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float pFace = p;
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// Subsonic outflow: impose ambient pressure, adjust velocity and density
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if (uFace > 0 && uFace < c)
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if (uFace > 0 && uFace < c) // subsonic outflow
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{
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double s = p / Math.Pow(rho, _gamma);
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double rhoAmb = Math.Pow(_bAmbientPressure / s, 1.0 / _gamma);
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double cAmb = Math.Sqrt(_gamma * _bAmbientPressure / rhoAmb);
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double J_plus = u + 2.0 * c / (_gamma - 1.0);
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double uFaceNew = J_plus - 2.0 * cAmb / (_gamma - 1.0);
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float s = p / MathF.Pow(rho, _gamma);
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float rhoAmb = MathF.Pow(_bAmbientPressure / s, 1f / _gamma);
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float cAmb = MathF.Sqrt(_gamma * _bAmbientPressure / rhoAmb);
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float J_plus = u + 2f * c / (_gamma - 1f);
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float uFaceNew = J_plus - 2f * cAmb / (_gamma - 1f);
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if (uFaceNew > 0) uFace = uFaceNew;
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if (uFace < 0) uFace = 0;
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rhoFace = rhoAmb;
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@@ -138,229 +200,410 @@ namespace FluidSim.Components
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public double GetAndStoreMassFlowForDerivative()
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{
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double current = GetOpenEndMassFlow();
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float current = (float)GetOpenEndMassFlow();
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double derivative = (current - _lastMassFlow) / _dt;
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_lastMassFlow = current;
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return derivative;
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}
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public void SetCellState(int i, double rho, double u, double p)
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public int GetRequiredSubSteps(double dtGlobal, double cflTarget = 0.8f)
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{
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if (i < 0 || i >= _n) return;
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_rho[i] = rho;
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_rhou[i] = rho * u;
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double e = p / ((_gamma - 1) * rho);
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_E[i] = rho * e + 0.5 * rho * u * u;
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}
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public int GetCellCount() => _n;
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public double GetCellDensity(int i) => _rho[i];
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public double GetCellPressure(int i) => Pressure(i);
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public double GetCellVelocity(int i) => _rhou[i] / Math.Max(_rho[i], 1e-12);
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private double Pressure(int i) => (_gamma - 1.0) * (_E[i] - 0.5 * _rhou[i] * _rhou[i] / Math.Max(_rho[i], 1e-12));
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public double GetPressureAtFraction(double fraction)
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{
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int i = (int)(fraction * (_n - 1));
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i = Math.Clamp(i, 0, _n - 1);
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return Pressure(i);
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}
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public int GetRequiredSubSteps(double dtGlobal, double cflTarget = 0.8)
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{
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double maxW = 0.0;
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float maxW = 0f;
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for (int i = 0; i < _n; i++)
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{
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double rho = _rho[i];
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double u = Math.Abs(_rhou[i] / Math.Max(rho, 1e-12));
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double c = Math.Sqrt(_gamma * Pressure(i) / Math.Max(rho, 1e-12));
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double local = u + c;
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float rho = _rho[i];
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float u = MathF.Abs(_rhou[i] / Math.Max(rho, 1e-12f));
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float p = PressureScalar(i);
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float c = MathF.Sqrt(_gamma * p / Math.Max(rho, 1e-12f));
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float local = u + c;
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if (local > maxW) maxW = local;
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}
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maxW = Math.Max(maxW, 1e-8);
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return Math.Max(1, (int)Math.Ceiling(dtGlobal * maxW / (cflTarget * _dx)));
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maxW = Math.Max(maxW, 1e-8f);
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return Math.Max(1, (int)Math.Ceiling((float)dtGlobal * maxW / ((float)cflTarget * _dx)));
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}
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// ==================== MAIN SIMULATION ==================================
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public void SimulateSingleStep(double dtSub)
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{
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float dt = (float)dtSub;
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int n = _n;
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double[] Fm = new double[n + 1];
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double[] Fp = new double[n + 1];
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double[] Fe = new double[n + 1];
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// Left boundary (face 0)
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double rhoL = _rho[0];
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double uL = _rhou[0] / Math.Max(rhoL, 1e-12);
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double pL = Pressure(0);
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if (_aBCType == BoundaryType.GhostCell && _ghostLSet)
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HLLCFlux(_rhoGhostL, _uGhostL, _pGhostL, rhoL, uL, pL, out Fm[0], out Fp[0], out Fe[0]);
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else if (_aBCType == BoundaryType.OpenEnd)
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OpenEndFluxLeft(rhoL, uL, pL, _aAmbientPressure, out Fm[0], out Fp[0], out Fe[0]);
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else if (_aBCType == BoundaryType.ZeroPressureOpen)
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// --- 1. Left boundary face (index 0) – scalar -----------------------
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float rhoL = _rho[0];
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float uL = _rhou[0] / Math.Max(rhoL, 1e-12f);
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float pL = PressureScalar(0);
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ComputeLeftBoundaryFlux(rhoL, uL, pL, out _fluxM[0], out _fluxP[0], out _fluxE[0]);
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// --- 2. Internal faces (1 .. n-1) – SIMD ---------------------------
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int vectorSize = Vector<float>.Count;
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int lastSimdFace = n - vectorSize; // highest face index that starts a full vector block
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// Face index f is between cell f-1 (left) and cell f (right).
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// We want to cover faces 1..n-1.
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for (int f = 1; f <= lastSimdFace; f += vectorSize)
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{
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// Strong reflection: force pressure to ambient, extrapolate density and velocity
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double rhoFace = rhoL;
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double uFace = uL;
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double pFace = _aAmbientPressure;
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HLLCFlux(rhoFace, uFace, pFace, rhoL, uL, pL, out Fm[0], out Fp[0], out Fe[0]);
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SimdInternalFluxBlock(f, vectorSize);
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}
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else if (_aBCType == BoundaryType.ClosedEnd)
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ClosedEndFlux(rhoL, uL, pL, false, out Fm[0], out Fp[0], out Fe[0]);
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else
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{ Fm[0] = 0; Fp[0] = pL; Fe[0] = 0; }
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// Internal faces
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for (int i = 0; i < n - 1; i++)
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// Scalar remainder for faces f .. n-1
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for (int f = Math.Max(1, lastSimdFace + 1); f < n; f++)
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{
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double rhoLi = _rho[i];
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double uLi = _rhou[i] / Math.Max(rhoLi, 1e-12);
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double pLi = Pressure(i);
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double rhoRi = _rho[i + 1];
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double uRi = _rhou[i + 1] / Math.Max(rhoRi, 1e-12);
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double pRi = Pressure(i + 1);
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HLLCFlux(rhoLi, uLi, pLi, rhoRi, uRi, pRi, out Fm[i + 1], out Fp[i + 1], out Fe[i + 1]);
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float rhoLi = _rho[f - 1];
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float uLi = _rhou[f - 1] / Math.Max(rhoLi, 1e-12f);
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float pLi = PressureScalar(f - 1);
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float rhoRi = _rho[f];
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float uRi = _rhou[f] / Math.Max(rhoRi, 1e-12f);
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float pRi = PressureScalar(f);
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HLLCFluxScalar(rhoLi, uLi, pLi, rhoRi, uRi, pRi,
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out _fluxM[f], out _fluxP[f], out _fluxE[f]);
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}
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// Right boundary (face n)
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double rhoR = _rho[n - 1];
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double uR = _rhou[n - 1] / Math.Max(rhoR, 1e-12);
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double pR = Pressure(n - 1);
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if (_bBCType == BoundaryType.GhostCell && _ghostRSet)
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HLLCFlux(rhoR, uR, pR, _rhoGhostR, _uGhostR, _pGhostR, out Fm[n], out Fp[n], out Fe[n]);
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else if (_bBCType == BoundaryType.OpenEnd)
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OpenEndFluxRight(rhoR, uR, pR, _bAmbientPressure, out Fm[n], out Fp[n], out Fe[n]);
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else if (_bBCType == BoundaryType.ZeroPressureOpen)
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{
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double rhoFace = rhoR;
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double uFace = uR;
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double pFace = _bAmbientPressure;
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HLLCFlux(rhoR, uR, pR, rhoFace, uFace, pFace, out Fm[n], out Fp[n], out Fe[n]);
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}
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else if (_bBCType == BoundaryType.ClosedEnd)
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ClosedEndFlux(rhoR, uR, pR, true, out Fm[n], out Fp[n], out Fe[n]);
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else
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{ Fm[n] = 0; Fp[n] = pR; Fe[n] = 0; }
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// --- 3. Right boundary face (index n) – scalar --------------------
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float rhoR = _rho[n - 1];
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float uR = _rhou[n - 1] / Math.Max(rhoR, 1e-12f);
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float pR = PressureScalar(n - 1);
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ComputeRightBoundaryFlux(rhoR, uR, pR, out _fluxM[n], out _fluxP[n], out _fluxE[n]);
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// Cell update (linear damping)
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double radius = _diameter / 2.0;
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double mu_air = 1.8e-5;
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double laminarCoeff = DampingMultiplier * 8.0 * mu_air / (radius * radius);
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for (int i = 0; i < n; i++)
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{
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_rho[i] -= dtSub * (Fm[i + 1] - Fm[i]) / _dx;
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_rhou[i] -= dtSub * (Fp[i + 1] - Fp[i]) / _dx;
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_E[i] -= dtSub * (Fe[i + 1] - Fe[i]) / _dx;
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double rho = Math.Max(_rho[i], 1e-12);
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double dampingFactor = Math.Exp(-(laminarCoeff / rho) * dtSub);
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_rhou[i] *= dampingFactor;
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|
||||
if (_rho[i] < 1e-12) _rho[i] = 1e-12;
|
||||
double kinetic = 0.5 * _rhou[i] * _rhou[i] / _rho[i];
|
||||
double pMin = 100.0;
|
||||
double eMin = pMin / ((_gamma - 1) * _rho[i]) + kinetic;
|
||||
if (_E[i] < eMin) _E[i] = eMin;
|
||||
}
|
||||
// --- 4. Cell update + damping – SIMD ------------------------------
|
||||
SimdCellUpdate(dt);
|
||||
}
|
||||
|
||||
// ---------- HLLC Riemann solver ----------
|
||||
private void HLLCFlux(double rL, double uL, double pL, double rR, double uR, double pR,
|
||||
out double fm, out double fp, out double fe)
|
||||
// ==================== PRIVATE SCALAR HELPERS ===========================
|
||||
private float PressureScalar(int i)
|
||||
{
|
||||
double cL = Math.Sqrt(_gamma * pL / Math.Max(rL, 1e-12));
|
||||
double cR = Math.Sqrt(_gamma * pR / Math.Max(rR, 1e-12));
|
||||
double EL = pL / ((_gamma - 1) * rL) + 0.5 * uL * uL;
|
||||
double ER = pR / ((_gamma - 1) * rR) + 0.5 * uR * uR;
|
||||
double SL = Math.Min(uL - cL, uR - cR);
|
||||
double SR = Math.Max(uL + cL, uR + cR);
|
||||
double Ss = (pR - pL + rL * uL * (SL - uL) - rR * uR * (SR - uR))
|
||||
/ (rL * (SL - uL) - rR * (SR - uR));
|
||||
float rho = Math.Max(_rho[i], 1e-12f);
|
||||
return (_gamma - 1f) * (_E[i] - 0.5f * _rhou[i] * _rhou[i] / rho);
|
||||
}
|
||||
|
||||
double FrL_m = rL * uL, FrL_p = rL * uL * uL + pL, FrL_e = (rL * EL + pL) * uL;
|
||||
double FrR_m = rR * uR, FrR_p = rR * uR * uR + pR, FrR_e = (rR * ER + pR) * uR;
|
||||
private void ComputeLeftBoundaryFlux(float rhoInt, float uInt, float pInt,
|
||||
out float fm, out float fp, out float fe)
|
||||
{
|
||||
if (_aBCType == BoundaryType.GhostCell && _ghostLSet)
|
||||
HLLCFluxScalar(_rhoGhostL, _uGhostL, _pGhostL, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
else if (_aBCType == BoundaryType.OpenEnd)
|
||||
OpenEndFluxLeft(rhoInt, uInt, pInt, _aAmbientPressure, out fm, out fp, out fe);
|
||||
else if (_aBCType == BoundaryType.ZeroPressureOpen)
|
||||
{
|
||||
float rhoFace = rhoInt;
|
||||
float uFace = uInt;
|
||||
float pFace = _aAmbientPressure;
|
||||
HLLCFluxScalar(rhoFace, uFace, pFace, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
}
|
||||
else if (_aBCType == BoundaryType.ClosedEnd)
|
||||
ClosedEndFlux(rhoInt, uInt, pInt, false, out fm, out fp, out fe);
|
||||
else
|
||||
{ fm = 0; fp = pInt; fe = 0; }
|
||||
}
|
||||
|
||||
private void ComputeRightBoundaryFlux(float rhoInt, float uInt, float pInt,
|
||||
out float fm, out float fp, out float fe)
|
||||
{
|
||||
if (_bBCType == BoundaryType.GhostCell && _ghostRSet)
|
||||
HLLCFluxScalar(rhoInt, uInt, pInt, _rhoGhostR, _uGhostR, _pGhostR, out fm, out fp, out fe);
|
||||
else if (_bBCType == BoundaryType.OpenEnd)
|
||||
OpenEndFluxRight(rhoInt, uInt, pInt, _bAmbientPressure, out fm, out fp, out fe);
|
||||
else if (_bBCType == BoundaryType.ZeroPressureOpen)
|
||||
{
|
||||
float rhoFace = rhoInt;
|
||||
float uFace = uInt;
|
||||
float pFace = _bAmbientPressure;
|
||||
HLLCFluxScalar(rhoInt, uInt, pInt, rhoFace, uFace, pFace, out fm, out fp, out fe);
|
||||
}
|
||||
else if (_bBCType == BoundaryType.ClosedEnd)
|
||||
ClosedEndFlux(rhoInt, uInt, pInt, true, out fm, out fp, out fe);
|
||||
else
|
||||
{ fm = 0; fp = pInt; fe = 0; }
|
||||
}
|
||||
|
||||
// ==================== SCALAR HLLC & BOUNDARY FLUX ======================
|
||||
private void HLLCFluxScalar(float rL, float uL, float pL, float rR, float uR, float pR,
|
||||
out float fm, out float fp, out float fe)
|
||||
{
|
||||
float cL = MathF.Sqrt(_gamma * pL / Math.Max(rL, 1e-12f));
|
||||
float cR = MathF.Sqrt(_gamma * pR / Math.Max(rR, 1e-12f));
|
||||
float EL = pL / ((_gamma - 1f) * rL) + 0.5f * uL * uL;
|
||||
float ER = pR / ((_gamma - 1f) * rR) + 0.5f * uR * uR;
|
||||
float SL = Math.Min(uL - cL, uR - cR);
|
||||
float SR = Math.Max(uL + cL, uR + cR);
|
||||
|
||||
float denom = rL * (SL - uL) - rR * (SR - uR);
|
||||
float Ss = (pR - pL + rL * uL * (SL - uL) - rR * uR * (SR - uR)) / denom;
|
||||
|
||||
float FrL_m = rL * uL, FrL_p = rL * uL * uL + pL, FrL_e = (rL * EL + pL) * uL;
|
||||
float FrR_m = rR * uR, FrR_p = rR * uR * uR + pR, FrR_e = (rR * ER + pR) * uR;
|
||||
|
||||
if (SL >= 0) { fm = FrL_m; fp = FrL_p; fe = FrL_e; }
|
||||
else if (SR <= 0) { fm = FrR_m; fp = FrR_p; fe = FrR_e; }
|
||||
else if (Ss >= 0)
|
||||
{
|
||||
double rsL = rL * (SL - uL) / (SL - Ss);
|
||||
double ps = pL + rL * (SL - uL) * (Ss - uL);
|
||||
double EsL = EL + (Ss - uL) * (Ss + pL / (rL * (SL - uL)));
|
||||
float rsL = rL * (SL - uL) / (SL - Ss);
|
||||
float ps = pL + rL * (SL - uL) * (Ss - uL);
|
||||
float EsL = EL + (Ss - uL) * (Ss + pL / (rL * (SL - uL)));
|
||||
fm = rsL * Ss; fp = rsL * Ss * Ss + ps; fe = (rsL * EsL + ps) * Ss;
|
||||
}
|
||||
else
|
||||
{
|
||||
double rsR = rR * (SR - uR) / (SR - Ss);
|
||||
double ps = pR + rR * (SR - uR) * (Ss - uR);
|
||||
double EsR = ER + (Ss - uR) * (Ss + pR / (rR * (SR - uR)));
|
||||
float rsR = rR * (SR - uR) / (SR - Ss);
|
||||
float ps = pR + rR * (SR - uR) * (Ss - uR);
|
||||
float EsR = ER + (Ss - uR) * (Ss + pR / (rR * (SR - uR)));
|
||||
fm = rsR * Ss; fp = rsR * Ss * Ss + ps; fe = (rsR * EsR + ps) * Ss;
|
||||
}
|
||||
}
|
||||
|
||||
// ---------- Characteristic open‑end boundaries ----------
|
||||
private void OpenEndFluxLeft(double rhoInt, double uInt, double pInt, double pAmb,
|
||||
out double fm, out double fp, out double fe)
|
||||
private void OpenEndFluxLeft(float rhoInt, float uInt, float pInt, float pAmb,
|
||||
out float fm, out float fp, out float fe)
|
||||
{
|
||||
double cInt = Math.Sqrt(_gamma * pInt / Math.Max(rhoInt, 1e-12));
|
||||
if (uInt <= -cInt) // supersonic inflow
|
||||
float cInt = MathF.Sqrt(_gamma * pInt / Math.Max(rhoInt, 1e-12f));
|
||||
if (uInt <= -cInt) // supersonic inflow
|
||||
{
|
||||
fm = rhoInt * uInt;
|
||||
fp = rhoInt * uInt * uInt + pInt;
|
||||
fe = (rhoInt * (pInt / ((_gamma - 1) * rhoInt) + 0.5 * uInt * uInt) + pInt) * uInt;
|
||||
fe = (rhoInt * (pInt / ((_gamma - 1f) * rhoInt) + 0.5f * uInt * uInt) + pInt) * uInt;
|
||||
return;
|
||||
}
|
||||
if (uInt <= 0) // subsonic inflow
|
||||
if (uInt <= 0) // subsonic inflow
|
||||
{
|
||||
double T0 = 300.0, R = 287.0;
|
||||
double ghost_Rho = pAmb / (R * T0);
|
||||
HLLCFlux(ghost_Rho, 0.0, pAmb, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
float T0 = 300f, R = 287f;
|
||||
float ghostRho = pAmb / (R * T0);
|
||||
HLLCFluxScalar(ghostRho, 0f, pAmb, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
return;
|
||||
}
|
||||
// subsonic outflow
|
||||
double s = pInt / Math.Pow(rhoInt, _gamma);
|
||||
double ghostRho = Math.Pow(pAmb / s, 1.0 / _gamma);
|
||||
double cGhost = Math.Sqrt(_gamma * pAmb / ghostRho);
|
||||
double J_minus = uInt - 2.0 * cInt / (_gamma - 1.0);
|
||||
double uGhost = J_minus + 2.0 * cGhost / (_gamma - 1.0);
|
||||
float s = pInt / MathF.Pow(rhoInt, _gamma);
|
||||
float ghostRho2 = MathF.Pow(pAmb / s, 1f / _gamma);
|
||||
float cGhost = MathF.Sqrt(_gamma * pAmb / ghostRho2);
|
||||
float J_minus = uInt - 2f * cInt / (_gamma - 1f);
|
||||
float uGhost = J_minus + 2f * cGhost / (_gamma - 1f);
|
||||
if (uGhost < 0) uGhost = 0;
|
||||
HLLCFlux(ghostRho, uGhost, pAmb, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
HLLCFluxScalar(ghostRho2, uGhost, pAmb, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
}
|
||||
|
||||
private void OpenEndFluxRight(double rhoInt, double uInt, double pInt, double pAmb,
|
||||
out double fm, out double fp, out double fe)
|
||||
private void OpenEndFluxRight(float rhoInt, float uInt, float pInt, float pAmb,
|
||||
out float fm, out float fp, out float fe)
|
||||
{
|
||||
double cInt = Math.Sqrt(_gamma * pInt / Math.Max(rhoInt, 1e-12));
|
||||
if (uInt >= cInt) // supersonic outflow
|
||||
float cInt = MathF.Sqrt(_gamma * pInt / Math.Max(rhoInt, 1e-12f));
|
||||
if (uInt >= cInt) // supersonic outflow
|
||||
{
|
||||
fm = rhoInt * uInt;
|
||||
fp = rhoInt * uInt * uInt + pInt;
|
||||
fe = (rhoInt * (pInt / ((_gamma - 1) * rhoInt) + 0.5 * uInt * uInt) + pInt) * uInt;
|
||||
fe = (rhoInt * (pInt / ((_gamma - 1f) * rhoInt) + 0.5f * uInt * uInt) + pInt) * uInt;
|
||||
return;
|
||||
}
|
||||
if (uInt >= 0) // subsonic outflow
|
||||
if (uInt >= 0) // subsonic outflow
|
||||
{
|
||||
double s = pInt / Math.Pow(rhoInt, _gamma);
|
||||
double ghost_Rho = Math.Pow(pAmb / s, 1.0 / _gamma);
|
||||
double cGhost = Math.Sqrt(_gamma * pAmb / ghost_Rho);
|
||||
double J_plus = uInt + 2.0 * cInt / (_gamma - 1.0);
|
||||
double uGhost = J_plus - 2.0 * cGhost / (_gamma - 1.0);
|
||||
float s = pInt / MathF.Pow(rhoInt, _gamma);
|
||||
float ghostRho = MathF.Pow(pAmb / s, 1f / _gamma);
|
||||
float cGhost = MathF.Sqrt(_gamma * pAmb / ghostRho);
|
||||
float J_plus = uInt + 2f * cInt / (_gamma - 1f);
|
||||
float uGhost = J_plus - 2f * cGhost / (_gamma - 1f);
|
||||
if (uGhost > 0) uGhost = 0;
|
||||
HLLCFlux(rhoInt, uInt, pInt, ghost_Rho, uGhost, pAmb, out fm, out fp, out fe);
|
||||
HLLCFluxScalar(rhoInt, uInt, pInt, ghostRho, uGhost, pAmb, out fm, out fp, out fe);
|
||||
return;
|
||||
}
|
||||
// subsonic inflow
|
||||
double T0 = 300.0, R = 287.0;
|
||||
double ghostRho = pAmb / (R * T0);
|
||||
HLLCFlux(rhoInt, uInt, pInt, ghostRho, 0.0, pAmb, out fm, out fp, out fe);
|
||||
float T0 = 300f, R = 287f;
|
||||
float ghostRho2 = pAmb / (R * T0);
|
||||
HLLCFluxScalar(rhoInt, uInt, pInt, ghostRho2, 0f, pAmb, out fm, out fp, out fe);
|
||||
}
|
||||
|
||||
private void ClosedEndFlux(double rhoInt, double uInt, double pInt, bool isRight,
|
||||
out double fm, out double fp, out double fe)
|
||||
private void ClosedEndFlux(float rhoInt, float uInt, float pInt, bool isRight,
|
||||
out float fm, out float fp, out float fe)
|
||||
{
|
||||
double rhoGhost = rhoInt, pGhost = pInt, uGhost = -uInt;
|
||||
float rhoGhost = rhoInt, pGhost = pInt, uGhost = -uInt;
|
||||
if (isRight)
|
||||
HLLCFlux(rhoInt, uInt, pInt, rhoGhost, uGhost, pGhost, out fm, out fp, out fe);
|
||||
HLLCFluxScalar(rhoInt, uInt, pInt, rhoGhost, uGhost, pGhost, out fm, out fp, out fe);
|
||||
else
|
||||
HLLCFlux(rhoGhost, uGhost, pGhost, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
HLLCFluxScalar(rhoGhost, uGhost, pGhost, rhoInt, uInt, pInt, out fm, out fp, out fe);
|
||||
}
|
||||
|
||||
// ==================== SIMD INTERNAL FACE ROUTINE ========================
|
||||
private void SimdInternalFluxBlock(int startFace, int count)
|
||||
{
|
||||
// startFace is the first face index; we process 'count' consecutive faces.
|
||||
// For face f, left cell = f-1, right cell = f.
|
||||
// We load left and right states for faces [startFace .. startFace+count-1].
|
||||
|
||||
int leftIdx = startFace - 1;
|
||||
int rightIdx = startFace;
|
||||
|
||||
// Load conserved variables for left cells and right cells as vectors.
|
||||
Vector<float> rL = new Vector<float>(_rho, leftIdx);
|
||||
Vector<float> ruL = new Vector<float>(_rhou, leftIdx);
|
||||
Vector<float> EL = new Vector<float>(_E, leftIdx);
|
||||
|
||||
Vector<float> rR = new Vector<float>(_rho, rightIdx);
|
||||
Vector<float> ruR = new Vector<float>(_rhou, rightIdx);
|
||||
Vector<float> ER = new Vector<float>(_E, rightIdx);
|
||||
|
||||
// Derived quantities: u = ru / r, p = (gamma-1)*(E - 0.5*ru^2 / r)
|
||||
Vector<float> uL = ruL / rL;
|
||||
Vector<float> uR = ruR / rR;
|
||||
|
||||
Vector<float> half = new Vector<float>(0.5f);
|
||||
Vector<float> gammaMinus1 = new Vector<float>(_gamma - 1f);
|
||||
Vector<float> gammaVec = new Vector<float>(_gamma);
|
||||
|
||||
Vector<float> pL = gammaMinus1 * (EL - half * ruL * ruL / rL);
|
||||
Vector<float> pR = gammaMinus1 * (ER - half * ruR * ruR / rR);
|
||||
|
||||
// Sound speeds
|
||||
Vector<float> cL = Vector.SquareRoot(gammaVec * pL / rL);
|
||||
Vector<float> cR = Vector.SquareRoot(gammaVec * pR / rR);
|
||||
|
||||
// Wave speeds
|
||||
Vector<float> SL = Vector.Min(uL - cL, uR - cR);
|
||||
Vector<float> SR = Vector.Max(uL + cL, uR + cR);
|
||||
|
||||
// Star speed
|
||||
Vector<float> num = (pR - pL) + rL * uL * (SL - uL) - rR * uR * (SR - uR);
|
||||
Vector<float> den = rL * (SL - uL) - rR * (SR - uR);
|
||||
Vector<float> Ss = num / den;
|
||||
|
||||
// Total energy per unit mass (E/rho) for left/right (needed for star region)
|
||||
Vector<float> eL = EL / rL;
|
||||
Vector<float> eR = ER / rR;
|
||||
|
||||
// --- Compute all four possible flux vectors ---
|
||||
// Left flux
|
||||
Vector<float> Fm_L = ruL;
|
||||
Vector<float> Fp_L = ruL * uL + pL;
|
||||
Vector<float> Fe_L = (EL + pL) * uL; // (r*E + p)*u
|
||||
|
||||
// Right flux
|
||||
Vector<float> Fm_R = ruR;
|
||||
Vector<float> Fp_R = ruR * uR + pR;
|
||||
Vector<float> Fe_R = (ER + pR) * uR;
|
||||
|
||||
// Star‑left fluxes (when SL < 0 < Ss)
|
||||
Vector<float> diffL = SL - uL;
|
||||
Vector<float> dL_den = SL - Ss;
|
||||
Vector<float> rsL = rL * diffL / dL_den;
|
||||
Vector<float> psSL = pL + rL * diffL * (Ss - uL);
|
||||
Vector<float> EsL = eL + (Ss - uL) * (Ss + pL / (rL * diffL));
|
||||
Vector<float> Fm_starL = rsL * Ss;
|
||||
Vector<float> Fp_starL = rsL * Ss * Ss + psSL;
|
||||
Vector<float> Fe_starL = (rsL * EsL + psSL) * Ss;
|
||||
|
||||
// Star‑right fluxes (when Ss < 0 < SR)
|
||||
Vector<float> diffR = SR - uR;
|
||||
Vector<float> dR_den = SR - Ss;
|
||||
Vector<float> rsR = rR * diffR / dR_den;
|
||||
Vector<float> psSR = pR + rR * diffR * (Ss - uR);
|
||||
Vector<float> EsR = eR + (Ss - uR) * (Ss + pR / (rR * diffR));
|
||||
Vector<float> Fm_starR = rsR * Ss;
|
||||
Vector<float> Fp_starR = rsR * Ss * Ss + psSR;
|
||||
Vector<float> Fe_starR = (rsR * EsR + psSR) * Ss;
|
||||
|
||||
// --- Select the correct flux based on wave signs ---
|
||||
var maskSLge0 = Vector.GreaterThanOrEqual(SL, Vector<float>.Zero);
|
||||
var maskSRle0 = Vector.LessThanOrEqual(SR, Vector<float>.Zero);
|
||||
var maskMiddle = ~(maskSLge0 | maskSRle0); // SL<0 && SR>0
|
||||
var maskStarL = maskMiddle & Vector.GreaterThanOrEqual(Ss, Vector<float>.Zero);
|
||||
var maskStarR = maskMiddle & Vector.LessThan(Ss, Vector<float>.Zero);
|
||||
|
||||
// Start with left flux, override with right/star as needed
|
||||
Vector<float> fm = Vector.ConditionalSelect(maskSLge0, Fm_L,
|
||||
Vector.ConditionalSelect(maskSRle0, Fm_R,
|
||||
Vector.ConditionalSelect(maskStarL, Fm_starL,
|
||||
Vector.ConditionalSelect(maskStarR, Fm_starR, Vector<float>.Zero))));
|
||||
|
||||
Vector<float> fp = Vector.ConditionalSelect(maskSLge0, Fp_L,
|
||||
Vector.ConditionalSelect(maskSRle0, Fp_R,
|
||||
Vector.ConditionalSelect(maskStarL, Fp_starL,
|
||||
Vector.ConditionalSelect(maskStarR, Fp_starR, Vector<float>.Zero))));
|
||||
|
||||
Vector<float> fe = Vector.ConditionalSelect(maskSLge0, Fe_L,
|
||||
Vector.ConditionalSelect(maskSRle0, Fe_R,
|
||||
Vector.ConditionalSelect(maskStarL, Fe_starL,
|
||||
Vector.ConditionalSelect(maskStarR, Fe_starR, Vector<float>.Zero))));
|
||||
|
||||
// Store to flux arrays at indices startFace .. startFace+count-1
|
||||
fm.CopyTo(_fluxM, startFace);
|
||||
fp.CopyTo(_fluxP, startFace);
|
||||
fe.CopyTo(_fluxE, startFace);
|
||||
}
|
||||
|
||||
// ==================== SIMD CELL UPDATE + DAMPING ========================
|
||||
private void SimdCellUpdate(float dt)
|
||||
{
|
||||
float dt_dx = dt / _dx;
|
||||
Vector<float> vDtDx = new Vector<float>(dt_dx);
|
||||
float coeff = _laminarCoeff * (float)DampingMultiplier;
|
||||
Vector<float> vCoeff = new Vector<float>(coeff);
|
||||
Vector<float> vDt = new Vector<float>(dt);
|
||||
|
||||
int vectorSize = Vector<float>.Count;
|
||||
int n = _n;
|
||||
int lastSimdCell = n - vectorSize;
|
||||
|
||||
// Pre‑define constants used in clamping
|
||||
Vector<float> half = new Vector<float>(0.5f);
|
||||
Vector<float> gammaMinus1 = new Vector<float>(_gamma - 1f);
|
||||
|
||||
for (int i = 0; i <= lastSimdCell; i += vectorSize)
|
||||
{
|
||||
// Load conserved
|
||||
Vector<float> r = new Vector<float>(_rho, i);
|
||||
Vector<float> ru = new Vector<float>(_rhou, i);
|
||||
Vector<float> E = new Vector<float>(_E, i);
|
||||
|
||||
// Load fluxes at faces i (left) and i+1 (right)
|
||||
Vector<float> flxM_L = new Vector<float>(_fluxM, i);
|
||||
Vector<float> flxM_R = new Vector<float>(_fluxM, i + 1);
|
||||
Vector<float> flxP_L = new Vector<float>(_fluxP, i);
|
||||
Vector<float> flxP_R = new Vector<float>(_fluxP, i + 1);
|
||||
Vector<float> flxE_L = new Vector<float>(_fluxE, i);
|
||||
Vector<float> flxE_R = new Vector<float>(_fluxE, i + 1);
|
||||
|
||||
// Update conserved: Q_new = Q - dt/dx * (flux_right - flux_left)
|
||||
Vector<float> newR = r - vDtDx * (flxM_R - flxM_L);
|
||||
Vector<float> newRu = ru - vDtDx * (flxP_R - flxP_L);
|
||||
Vector<float> newE = E - vDtDx * (flxE_R - flxE_L);
|
||||
|
||||
// Damping
|
||||
Vector<float> factor = Vector.Exp(-vCoeff / r * vDt);
|
||||
newRu *= factor;
|
||||
|
||||
// Clamp density
|
||||
newR = Vector.Max(newR, new Vector<float>(1e-12f));
|
||||
|
||||
// Enforce minimal pressure (100 Pa) -> minimal energy
|
||||
Vector<float> kinE = half * newRu * newRu / newR;
|
||||
Vector<float> eMin = new Vector<float>(100f) / gammaMinus1 + kinE;
|
||||
newE = Vector.Max(newE, eMin);
|
||||
|
||||
newR.CopyTo(_rho, i);
|
||||
newRu.CopyTo(_rhou, i);
|
||||
newE.CopyTo(_E, i);
|
||||
}
|
||||
|
||||
// Scalar remainder
|
||||
for (int i = Math.Max(0, lastSimdCell + 1); i < n; i++)
|
||||
{
|
||||
float r = _rho[i];
|
||||
float ru = _rhou[i];
|
||||
float E = _E[i];
|
||||
|
||||
float dM = _fluxM[i + 1] - _fluxM[i];
|
||||
float dP = _fluxP[i + 1] - _fluxP[i];
|
||||
float dE = _fluxE[i + 1] - _fluxE[i];
|
||||
|
||||
float newR = r - dt_dx * dM;
|
||||
float newRu = ru - dt_dx * dP;
|
||||
float newE = E - dt_dx * dE;
|
||||
|
||||
// Damping
|
||||
float factor = MathF.Exp(-coeff / Math.Max(r, 1e-12f) * dt);
|
||||
newRu *= factor;
|
||||
|
||||
// Clamps
|
||||
if (newR < 1e-12f) newR = 1e-12f;
|
||||
float kin = 0.5f * newRu * newRu / newR;
|
||||
float emin = 100f / (_gamma - 1f) + kin;
|
||||
if (newE < emin) newE = emin;
|
||||
|
||||
_rho[i] = newR;
|
||||
_rhou[i] = newRu;
|
||||
_E[i] = newE;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user