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; private double _dx, _dt, _gamma = 1.4, _area; private double[] _rho, _rhou, _E; private double _hydraulicDiameter; private double _rhoLeft, _pLeft, _rhoRight, _pRight; private bool _leftBCSet, _rightBCSet; public double FrictionFactor { get; set; } 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); /// /// Create a pipe with CFL‑stable automatic cell count. /// /// Pipe length [m]. /// Cross‑sectional area [m²]. /// Simulation step rate [Hz]. /// Speed of sound [m/s] (default 343). /// Darcy friction factor (0 = inviscid). /// CFL safety factor ≤ 1 (0.8 recommended). public Pipe1D(double length, double area, int sampleRate, double c0 = 343.0, double frictionFactor = 0.02, double cflSafety = 0.8) { if (area <= 0) throw new ArgumentException("Pipe area must be > 0"); _area = area; _dt = 1.0 / sampleRate; FrictionFactor = frictionFactor; // Nyquist‑based cell count (wave resolution) double nNyquist = Math.Ceiling(length * sampleRate / c0); // CFL‑stable cell count: dx ≥ maxSpeed·dt / cflSafety, maxSpeed = 2·c0 (supersonic safe) double maxSpeed = 2.0 * c0; double dxMinStable = maxSpeed * _dt / cflSafety; double nStable = Math.Floor(length / dxMinStable); _n = Math.Max(2, (int)Math.Min(nNyquist, nStable)); _dx = length / _n; _rho = new double[_n]; _rhou = new double[_n]; _E = new double[_n]; _hydraulicDiameter = Math.Max(2.0 * Math.Sqrt(_area / Math.PI), 1e-9); 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; } public void Simulate() { int n = _n; double[] Fm = new double[n + 1], Fp = new double[n + 1], Fe = new double[n + 1]; // --- Left boundary (face 0) --- if (_leftBCSet) { double rhoL = _rhoLeft, uL = 0.0, pL = _pLeft; double rhoR = _rho[0], uR = _rhou[0] / Math.Max(rhoR, 1e-12), pR = Pressure(0); HLLCFlux(rhoL, uL, pL, rhoR, uR, pR, 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], uL = _rhou[n - 1] / Math.Max(rhoL, 1e-12), pL = Pressure(n - 1); double rhoR = _rhoRight, uR = 0.0, pR = _pRight; HLLCFlux(rhoL, uL, pL, rhoR, uR, pR, out Fm[n], out Fp[n], out Fe[n]); } else { Fm[n] = 0; Fp[n] = Pressure(n - 1); Fe[n] = 0; } // --- Cell update (inviscid fluxes) --- 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] -= _dt * dM; _rhou[i] -= _dt * dP; _E[i] -= _dt * 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; // Emergency reset if NaN if (double.IsNaN(_rho[i]) || double.IsNaN(_rhou[i]) || double.IsNaN(_E[i])) { _rho[i] = 1.225; // reset to atmospheric air at 300 K _rhou[i] = 0.0; _E[i] = 101325.0 / (_gamma - 1.0); // internal energy at 1 atm } } // --- Friction (Darcy–Weisbach, energy‑conserving) --- if (FrictionFactor > 0) { double D = _hydraulicDiameter; double twoD = 2.0 * D; for (int i = 0; i < n; i++) { double rho = _rho[i]; double u = _rhou[i] / rho; double absU = Math.Abs(u); double src = FrictionFactor * rho * absU * u / twoD; double kinOld = 0.5 * rho * u * u; _rhou[i] -= _dt * src; double uNew = _rhou[i] / rho; double kinNew = 0.5 * rho * uNew * uNew; _E[i] += (kinOld - kinNew); } } // --- Publish to ports --- PortA.Pressure = Pressure(0); PortA.Density = _rho[0]; PortB.Pressure = Pressure(_n - 1); PortB.Density = _rho[_n - 1]; PortA.MassFlowRate = _leftBCSet ? Fm[0] * _area : 0.0; PortB.MassFlowRate = _rightBCSet ? -Fm[n] * _area : 0.0; PortA.SpecificEnthalpy = GetCellTotalSpecificEnthalpy(0); PortB.SpecificEnthalpy = GetCellTotalSpecificEnthalpy(_n - 1); _leftBCSet = _rightBCSet = false; } double Pressure(int i) => (_gamma - 1.0) * (_E[i] - 0.5 * _rhou[i] * _rhou[i] / Math.Max(_rho[i], 1e-12)); void HLLCFlux(double rL, double uL, double pL, double rR, double uR, double pR, out double fm, out double fp, out double fe) { const double eps = 1e-12; pL = Math.Max(pL, eps); pR = Math.Max(pR, eps); double cL = Math.Sqrt(_gamma * pL / Math.Max(rL, eps)); double cR = Math.Sqrt(_gamma * pR / Math.Max(rR, eps)); 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 denom = rL * (SL - uL) - rR * (SR - uR); double Ss; if (Math.Abs(denom) < eps) Ss = 0.5 * (uL + uR); else Ss = (pR - pL + rL * uL * (SL - uL) - rR * uR * (SR - uR)) / denom; 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 diffSL = SL - uL; if (Math.Abs(diffSL) < eps) diffSL = eps; double rsL = rL * diffSL / (SL - Ss); double ps = pL + rL * diffSL * (Ss - uL); double EsL = EL + (Ss - uL) * (Ss + pL / (rL * diffSL)); fm = rsL * Ss; fp = rsL * Ss * Ss + ps; fe = (rsL * EsL + ps) * Ss; } else { double diffSR = SR - uR; if (Math.Abs(diffSR) < eps) diffSR = eps; double rsR = rR * diffSR / (SR - Ss); double ps = pL + rL * (SL - uL) * (Ss - uL); double EsR = ER + (Ss - uR) * (Ss + pR / (rR * diffSR)); fm = rsR * Ss; fp = rsR * Ss * Ss + ps; fe = (rsR * EsR + ps) * Ss; } } } }