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;
}
}
}
}