using System; using FluidSim.Interfaces; namespace FluidSim.Components { public class Pipe1D { public Port PortA { get; } public Port PortB { get; } public double Area => _area; private int _n; // number of cells private double _dx, _dt, _gamma, _area; private double[] _rho, _rhou, _E; // Volume boundary states, constant during sub‑steps private double _rhoLeft, _pLeft; private double _rhoRight, _pRight; private bool _leftBCSet, _rightBCSet; // CFL control private const double CflTarget = 0.8; private const double ReferenceSoundSpeed = 340.0; // m/s, standard air public double FrictionFactor { get; set; } = 0.02; public int GetCellCount() => _n; public double GetCellDensity(int i) => _rho[i]; public double GetCellPressure(int i) => Pressure(i); public double GetCellVelocity(int i) => _rhou[i] / Math.Max(_rho[i], 1e-12); /// /// Creates a 1D pipe. /// Cell count is automatically determined to satisfy CFL in still air. /// /// Pipe length in metres. /// Cross‑sectional area in m². /// Global simulation sample rate (Hz). public Pipe1D(double length, double area, int sampleRate) { // Desired spatial step to keep CFL ≤ target for still air double dtGlobal = 1.0 / sampleRate; double dxTarget = ReferenceSoundSpeed * dtGlobal * CflTarget; // Number of cells must be at least 2; try to hit dxTarget int nCells = Math.Max(2, (int)Math.Round(length / dxTarget, MidpointRounding.AwayFromZero)); // Ensure we don't accidentally overshoot dxTarget by more than a factor while (length / nCells > dxTarget * 1.01 && nCells < int.MaxValue - 1) nCells++; _n = nCells; _dx = length / _n; _dt = dtGlobal; // global (audio) time step _area = area; _gamma = 1.4; _rho = new double[_n]; _rhou = new double[_n]; _E = new double[_n]; PortA = new Port(); PortB = new Port(); } public void SetUniformState(double rho, double u, double p) { double e = p / ((_gamma - 1) * rho); double Etot = rho * e + 0.5 * rho * u * u; for (int i = 0; i < _n; i++) { _rho[i] = rho; _rhou[i] = rho * u; _E[i] = Etot; } } public double GetLeftPressure() => Pressure(0); public double GetRightPressure() => Pressure(_n - 1); public double GetLeftDensity() => _rho[0]; public double GetRightDensity() => _rho[_n - 1]; public void SetLeftVolumeState(double rhoVol, double pVol) { _rhoLeft = rhoVol; _pLeft = pVol; _leftBCSet = true; } public void SetRightVolumeState(double rhoVol, double pVol) { _rhoRight = rhoVol; _pRight = pVol; _rightBCSet = true; } private double GetCellTotalSpecificEnthalpy(int i) { double rho = Math.Max(_rho[i], 1e-12); double u = _rhou[i] / rho; double p = Pressure(i); double h = _gamma / (_gamma - 1.0) * p / rho; return h + 0.5 * u * u; } /// /// Advance the pipe over one global time step using sub‑stepping. /// Must be called once per global simulation cycle. /// public void Simulate() { int n = _n; // --- Determine maximum wave speed in the pipe --- double maxWaveSpeed = 0.0; for (int i = 0; i < n; i++) { double rho = Math.Max(_rho[i], 1e-12); double u = Math.Abs(_rhou[i] / rho); double c = Math.Sqrt(_gamma * Pressure(i) / rho); double local = u + c; if (local > maxWaveSpeed) maxWaveSpeed = local; } if (maxWaveSpeed < 1e-8) maxWaveSpeed = 1e-8; int nSub = Math.Max(1, (int)Math.Ceiling(_dt * maxWaveSpeed / (CflTarget * _dx))); double dtSub = _dt / nSub; // Accumulators for net mass flows double sumMdotA = 0.0, sumMdotB = 0.0; // Accumulators for fluid that ENTERS the volumes (pipe → volume) double massInA = 0.0, energyInA = 0.0; double massInB = 0.0, energyInB = 0.0; for (int step = 0; step < nSub; step++) { double[] Fm = new double[n + 1]; double[] Fp = new double[n + 1]; double[] Fe = new double[n + 1]; // Left boundary (face 0) if (_leftBCSet) { HLLCFlux(_rhoLeft, 0.0, _pLeft, _rho[0], _rhou[0] / Math.Max(_rho[0], 1e-12), Pressure(0), out Fm[0], out Fp[0], out Fe[0]); } else { Fm[0] = 0; Fp[0] = Pressure(0); Fe[0] = 0; } // Internal faces for (int i = 0; i < n - 1; i++) { double uL = _rhou[i] / Math.Max(_rho[i], 1e-12); double uR = _rhou[i + 1] / Math.Max(_rho[i + 1], 1e-12); HLLCFlux(_rho[i], uL, Pressure(i), _rho[i + 1], uR, Pressure(i + 1), out Fm[i + 1], out Fp[i + 1], out Fe[i + 1]); } // Right boundary (face n) if (_rightBCSet) { double rhoL = _rho[n - 1]; double uL = _rhou[n - 1] / Math.Max(rhoL, 1e-12); double pL = Pressure(n - 1); HLLCFlux(rhoL, uL, pL, _rhoRight, 0.0, _pRight, out Fm[n], out Fp[n], out Fe[n]); } else { Fm[n] = 0; Fp[n] = Pressure(n - 1); Fe[n] = 0; } // Cell update for (int i = 0; i < n; i++) { double dM = (Fm[i + 1] - Fm[i]) / _dx; double dP = (Fp[i + 1] - Fp[i]) / _dx; double dE = (Fe[i + 1] - Fe[i]) / _dx; _rho[i] -= dtSub * dM; _rhou[i] -= dtSub * dP; _E[i] -= dtSub * dE; if (_rho[i] < 1e-12) _rho[i] = 1e-12; double kinetic = 0.5 * _rhou[i] * _rhou[i] / _rho[i]; if (_E[i] < kinetic) _E[i] = kinetic; } // Sub‑step mass flow rates (kg/s) double mdotA_sub = _leftBCSet ? Fm[0] * _area : 0.0; // >0 = into pipe double mdotB_sub = _rightBCSet ? -Fm[n] * _area : 0.0; // >0 = into pipe from right sumMdotA += mdotA_sub; sumMdotB += mdotB_sub; // Flow FROM pipe INTO volume A: mdotA_sub < 0 if (mdotA_sub < 0 && _leftBCSet) { double massRate = -mdotA_sub; // kg/s entering volume A double h = GetCellTotalSpecificEnthalpy(0); massInA += massRate * dtSub; energyInA += massRate * dtSub * h; } // Flow FROM pipe INTO volume B: mdotB_sub < 0 (because // mdotB_sub = -Fm[n], and Fm[n] > 0 is flow to the right) if (mdotB_sub < 0 && _rightBCSet) { double massRate = -mdotB_sub; // kg/s entering volume B double h = GetCellTotalSpecificEnthalpy(_n - 1); massInB += massRate * dtSub; energyInB += massRate * dtSub * h; } } // Averaged net mass flows (sign: positive = into pipe) PortA.MassFlowRate = sumMdotA / nSub; PortB.MassFlowRate = sumMdotB / nSub; // Assign enthalpy ONLY for the fluid that physically entered the volume if (massInA > 1e-12) PortA.SpecificEnthalpy = energyInA / massInA; if (massInB > 1e-12) PortB.SpecificEnthalpy = energyInB / massInB; // If no inflow occurred, leave the port’s enthalpy unchanged. // (It will be set to the volume’s static enthalpy by PushStateToPort // or overwritten by TransferPipeToVolume if flow reverses later.) _leftBCSet = _rightBCSet = false; } // Pressure and HLLC flux unchanged private double Pressure(int i) => (_gamma - 1.0) * (_E[i] - 0.5 * _rhou[i] * _rhou[i] / Math.Max(_rho[i], 1e-12)); private void HLLCFlux(double rL, double uL, double pL, double rR, double uR, double pR, out double fm, out double fp, out double fe) { 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)); 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; 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))); fm = rsL * Ss; fp = rsL * Ss * Ss + ps; fe = (rsL * EsL + ps) * Ss; } else { double rsR = rR * (SR - uR) / (SR - Ss); double ps = pL + rL * (SL - uL) * (Ss - uL); double EsR = ER + (Ss - uR) * (Ss + pR / (rR * (SR - uR))); fm = rsR * Ss; fp = rsR * Ss * Ss + ps; fe = (rsR * EsR + ps) * Ss; } } } }