static void Main() { const int tsteps = 1; // time steps const float physlength = 100.0f; // phys length const int xsteps = 101; // space nodes quantity for BGK const int nvlc = 100; // velocity nodes quantity for BGK //--BGK segment float[,] f = new float[xsteps, nvlc]; const float Kn = 1.0f; const float vw = 0.05f; // distance between velocities float totmass = 0f; // total mass // initial boundary conditions float u1 = 0.8f; float T1 = 1.0f; float rho1 = 1.0f / BGK_1d._n_eq_check_dens(T1, u1, vw, nvlc); float u2 = 0.8f; float T2 = 1.0f; float rho2 = 1.0f / BGK_1d._n_eq_check_dens(T2, u2, vw, nvlc); //--BGK boundaries, time = 0; for (int k = 0; k < nvlc; ++k) { //--hybrid f[0, k] = BGK_1d._n_eq(T1, rho1, u1, vw, nvlc, k); f[xsteps - 1, k] = BGK_1d._n_eq(T2, rho2, u2, vw, nvlc, k); } BGK_1d bgk = new BGK_1d(f, Kn, vw, physlength); f = bgk.Solve(1000.0f); //--results float[] P = bgk.P(); float[] U = bgk.U(); float[] T = bgk.Temperatures(); totmass = 0; //--diagnostics of the left BGK area for (int i = 0; i < xsteps; i++) { Console.WriteLine(i / (xsteps - 1.0f) + " " + P[i] + " " + U[i] + " " + T[i] + " " + P[i] * U[i]); totmass = totmass + P[i]; } Console.WriteLine("mass=" + totmass); Console.ReadLine(); }
static void Main() { const int tsteps = 1; // time steps const float physlength = 10.0f; // phys length const int xsteps = 40; // space nodes quantity for BGK const int nvlc = 60; // velocity nodes quantity for BGK //--hybrid Left and Right BGK segments float[,] fleft = new float[xsteps, nvlc]; float[,] fright = new float[xsteps, nvlc]; const float Kn = 1.0f; const float vw = 0.024f; // distance between velocities float totmass = 0f; // total mass // initial boundary conditions float u1 = 0.08f; float T1 = 0.64f; float rho1 = 1.0f / BGK_1d._n_eq_check_dens(T1, u1, vw, nvlc); float u2 = -0.055f; float T2 = 0.64f; float rho2 = 1.0f / BGK_1d._n_eq_check_dens(T2, u2, vw, nvlc); //--BGK boundaries, time = 0; for (int k = 0; k < nvlc; ++k) { //--hybrid fleft[0, k] = BGK_1d._n_eq(T1, rho1, u1, vw, nvlc, k); fright[xsteps - 1, k] = BGK_1d._n_eq(T2, rho2, u2, vw, nvlc, k); } const int nlattice = 161; // space nodes quantity for lattice float[,] flattice = new float[nlattice, 6]; //--hybrid declaration BGK_1d bgk_left, bgk_right; D1Q6 lattice; float m0 = 0, m1 = 0, m2 = 0; const float w0 = 0.3234f; const float w1 = 0.1463f; const float w2 = 0.0303f; /* * {{0.3234 * 1,0.1463 * 1,0.0303 * 1}, * {0.3234 * 0.5,0.1463 * 1,0.0303 * 3}, * {0.3234 * 0.25,0.1463 * 1,0.0303 * 9}}^-1 = * {{7.42115, -9.89487, 2.47372}, * {-10.2529, 23.9234, -6.83527}, * {3.30033, -9.90099, 6.60066}} * wolframalpha.com */ const float a11 = 7.42115f; const float a12 = -9.89487f; const float a13 = 2.47372f; const float a21 = -10.2529f; const float a22 = 23.9234f; const float a23 = -6.83527f; const float a31 = 3.30033f; const float a32 = -9.90099f; const float a33 = 6.60066f; for (int i = 1; i < nlattice - 1; ++i) { flattice[i, 0] = D1Q6._n_eq_k(1.0f, u1, 0); flattice[i, 1] = D1Q6._n_eq_k(1.0f, u1, 1); flattice[i, 2] = D1Q6._n_eq_k(1.0f, u1, 2); flattice[i, 3] = D1Q6._n_eq_k(1.0f, u1, 3); flattice[i, 4] = D1Q6._n_eq_k(1.0f, u1, 4); flattice[i, 5] = D1Q6._n_eq_k(1.0f, u1, 5); } for (int time = 0; time < tsteps; ++time) { bgk_left = new BGK_1d(fleft, Kn, vw, physlength); bgk_right = new BGK_1d(fright, Kn, vw, physlength); //--hybrid, solve BGK for t = 1.0 fleft = bgk_left.Solve(1.0f); fright = bgk_right.Solve(1.0f); m0 = m1 = m2 = 0; for (int i = nvlc / 2; i < nvlc; ++i) { m0 += fleft[xsteps - 1, i]; m1 += fleft[xsteps - 1, i] * (vw * (i - (nvlc - 1.0f) / 2.0f)); m2 += fleft[xsteps - 1, i] * (vw * (i - (nvlc - 1.0f) / 2.0f)) * (vw * (i - (nvlc - 1.0f) / 2.0f)); } // m0 *= 1.0f; m1 *= vw; m2 *= vw; //--TODO: set LBE condition (flattice[,] = F(flattice, fleft, fright) ) flattice[0, 3] = a11 * m0 + a12 * m1 + a13 * m2; flattice[0, 4] = a21 * m0 + a22 * m1 + a23 * m2; flattice[0, 5] = a31 * m0 + a32 * m1 + a33 * m2; m0 = m1 = m2 = 0; for (int i = 0; i < nvlc / 2; ++i) { m0 += fright[0, i]; m1 -= fright[0, i] * (vw * (i - (nvlc - 1.0f) / 2.0f)); m2 += fright[0, i] * (vw * (i - (nvlc - 1.0f) / 2.0f)) * (vw * (i - (nvlc - 1.0f) / 2.0f)); } // m0 *= 1.0; m1 *= vw; m2 *= vw; //--TODO: set LBE condition (flattice[,] = F(flattice, fleft, fright) ) flattice[nlattice - 1, 2] = a11 * m0 + a12 * m1 + a13 * m2; flattice[nlattice - 1, 1] = a21 * m0 + a22 * m1 + a23 * m2; flattice[nlattice - 1, 0] = a31 * m0 + a32 * m1 + a33 * m2; lattice = new D1Q6(flattice, 1.0f); flattice = lattice.Solve(); //--TODO: set new BGK internal boundary data fleft, fright = g(fleft(right), flattice) //--левая точка сращивания m0 = w0 * 1.0f * flattice[0, 2] + w1 * flattice[0, 1] + w2 * 1.0f * flattice[0, 0]; m1 = -w0 * 0.5f * flattice[0, 2] - w1 * flattice[0, 1] - w2 * 3.0f * flattice[0, 0]; m2 = w0 * 0.25f * flattice[0, 2] + w1 * flattice[0, 1] + w2 * 9.0f * flattice[0, 0]; for (int i = 0; i < nvlc / 2; ++i) { fleft[xsteps - 1, i] = vw * 1.0f / (float)Math.Sqrt(2.0 * Math.PI * 1.0f) * (float)Math.Exp(- ((i - (nvlc - 1.0) / 2.0) * vw) * ((i - (nvlc - 1.0) / 2.0) * vw) / (2.0)) * (float)(m0 + m1 * (i - (nvlc - 1.0) / 2.0) * vw + (m1 - m0) * (((i - (nvlc - 1.0) / 2.0) * vw) * ((i - (nvlc - 1.0) / 2.0) * vw) - 1.0) ); } //--правая точка сращивания m0 = w0 * 1.0f * flattice[nlattice - 1, 3] + w1 * flattice[nlattice - 1, 4] + w2 * 1.0f * flattice[nlattice - 1, 5]; m1 = w0 * 0.5f * flattice[nlattice - 1, 3] + w1 * flattice[nlattice - 1, 4] + w2 * 3.0f * flattice[nlattice - 1, 5]; m2 = w0 * 0.25f * flattice[nlattice - 1, 3] + w1 * flattice[nlattice - 1, 4] + w2 * 9.0f * flattice[nlattice - 1, 5]; for (int i = nvlc / 2; i < nvlc; ++i) { fright[0, i] = vw * 1.0f / (float)Math.Sqrt(2.0 * Math.PI * 1.0f) * (float)Math.Exp(- ((i - (nvlc - 1.0) / 2.0) * vw) * ((i - (nvlc - 1.0) / 2.0) * vw) / (2.0)) * (float)(m0 + m1 * (i - (nvlc - 1.0) / 2.0) * vw + (m1 - m0) * (((i - (nvlc - 1.0) / 2.0) * vw) * ((i - (nvlc - 1.0) / 2.0) * vw) - 1.0) ); } } //--results bgk_left = new BGK_1d(fleft, Kn, vw, physlength); bgk_right = new BGK_1d(fright, Kn, vw, physlength); bgk_left.Solve_one_step(); bgk_right.Solve_one_step(); float[] P = bgk_left.P(); float[] U = bgk_left.U(); float[] T = bgk_left.Temperatures(); totmass = 0; //--diagnostics of the left BGK area for (int i = 0; i < xsteps; i++) { Console.WriteLine(i / (xsteps - 1.0f) + " " + P[i] + " " + U[i] + " " + T[i] + " " + P[i] * U[i]); totmass = totmass + P[i]; } //--diagnostics lattice for (int i = 0; i < nlattice; i++) { Console.WriteLine(flattice[i, 0] + " " + flattice[i, 1] + " " + flattice[i, 2] + " " + flattice[i, 3] + " " + flattice[i, 4] + " " + flattice[i, 5] + " x" + i * 0.5); } Console.WriteLine("mass=" + totmass); Console.ReadLine(); // Application.EnableVisualStyles(); // Application.SetCompatibleTextRenderingDefault(false); // Application.Run(new Form1()); }