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;
}
}
}
}