From 148496ddd2e396b8e901eb2e07d460e1b6a06128 Mon Sep 17 00:00:00 2001 From: Aadi <122440845+aadi-bh@users.noreply.github.com> Date: Thu, 23 Nov 2023 21:01:24 +0530 Subject: [PATCH] LA done --- _site/plots/linadv_nf/1024.txt | 2 + _site/plots/linadv_nf/128.txt | 2 + _site/plots/linadv_nf/16.txt | 2 + _site/plots/linadv_nf/2048.txt | 2 + _site/plots/linadv_nf/256.txt | 2 + _site/plots/linadv_nf/32.txt | 2 + _site/plots/linadv_nf/512.txt | 2 + _site/plots/linadv_nf/64.txt | 2 + ...on linadv at 0x7f8cbfef78b0>-fFalse-f5.png | Bin 0 -> 98703 bytes _site/plots/linadv_yf/1024.txt | 2 + _site/plots/linadv_yf/128.txt | 2 + _site/plots/linadv_yf/16.txt | 2 + _site/plots/linadv_yf/2048.txt | 2 + _site/plots/linadv_yf/256.txt | 2 + _site/plots/linadv_yf/32.txt | 2 + _site/plots/linadv_yf/512.txt | 2 + _site/plots/linadv_yf/64.txt | 2 + ...ion linadv at 0x7fe84adf98b0>-fTrue-f5.png | Bin 0 -> 113269 bytes burgers_filtered.py | 76 +++++++++++++++--- requirements.txt | 1 + 20 files changed, 96 insertions(+), 13 deletions(-) create mode 100644 _site/plots/linadv_nf/1024.txt create mode 100644 _site/plots/linadv_nf/128.txt create mode 100644 _site/plots/linadv_nf/16.txt create mode 100644 _site/plots/linadv_nf/2048.txt create mode 100644 _site/plots/linadv_nf/256.txt create mode 100644 _site/plots/linadv_nf/32.txt create mode 100644 _site/plots/linadv_nf/512.txt create mode 100644 _site/plots/linadv_nf/64.txt create mode 100644 _site/plots/linadv_nf/f-fFalse-f5.png create mode 100644 _site/plots/linadv_yf/1024.txt create mode 100644 _site/plots/linadv_yf/128.txt create mode 100644 _site/plots/linadv_yf/16.txt create mode 100644 _site/plots/linadv_yf/2048.txt create mode 100644 _site/plots/linadv_yf/256.txt create mode 100644 _site/plots/linadv_yf/32.txt create mode 100644 _site/plots/linadv_yf/512.txt create mode 100644 _site/plots/linadv_yf/64.txt create mode 100644 _site/plots/linadv_yf/f-fTrue-f5.png diff --git a/_site/plots/linadv_nf/1024.txt 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961f0f7..f7996e6 100644 --- a/burgers_filtered.py +++ b/burgers_filtered.py @@ -10,6 +10,7 @@ from numpy import pi import matplotlib.pyplot as plt from past.builtins import execfile +import argparse execfile("common.py") @@ -62,8 +63,10 @@ def create_filter(k, sigma, args): return filter def no_filter(k, sigma, args): return np.ones(len(kk)) + def zero(t, u_hat, N, M, eps, filter, a=1): return np.zeros(len(u_hat)); + def linadv(t, u_hat, N, M, filter, a=1): # because fft scales these, and we want the ifft to work as usual NN = (2 * M//2) + N @@ -75,13 +78,15 @@ def linadv(t, u_hat, N, M, filter, a=1): return unpad(mask(nonlinear), M//2) def burgers(t, u_hat, N, M, filter, a=1): # because fft scales these, and we want the ifft to work as usual + NN = (2 * M//2) + N u_hat = pad(u_hat, M//2) * NN / N u = ifft(u_hat) kk = freqs(NN) - nonlinear = -1 * fft(u**2/2) * 1j * kk + nonlinear = -1 * fft(0.5 * u * u) * 1j * kk nonlinear *= a nonlinear *= filter return unpad(mask(nonlinear), M//2) + def semigroup_heat(dt, k, eps): S_half = sparse.diags(np.exp(-1 * eps * k**2 * dt / 2)) S = sparse.diags(np.exp(-1 * eps * k**2 * dt)) @@ -91,31 +96,64 @@ def semigroup_none(dt, k, eps): S_half = S return S_half, S +parser = argparse.ArgumentParser() +# parser.add_argument('-N', type=int, help='Number of cells', default=100) +parser.add_argument('--cfl', type=float, help='CFL number', default=0.1) +# parser.add_argument('-scheme', +# choices=('C','LF','GLF','LLF','LW','ROE','EROE','GOD'), +# help='Scheme', default='LF') +parser.add_argument('--ic', + choices=('saw_tooth','sin','step'), + help='Initial condition', default='sin') +parser.add_argument('--Tf', type=float, help='Final time', default=1.0) +parser.add_argument('--pde', choices=('linadv', 'burgers'), default='burgers') +parser.add_argument('--add_visc', type=bool, default=False) +parser.add_argument('--use_filter', type=bool, default=False) +parser.add_argument('--max_lgN', type=int, default=7) +parser.add_argument('--integrator', choices=('solve_ivp', 'elrk4'), default='elrk4') +args = parser.parse_args() + a = 2 * pi -initial_condition = saw_tooth rhs = linadv +initial_condition = sin visc = semigroup_none USE_FILTER = False tf = 2 -dt = 0.01 +cfl = 0.5 +if args.pde == 'burgers': + a = 1 + rhs = burgers +if args.ic == 'saw_tooth': + initial_condition = saw_tooth +elif args.ic == 'sin': + initial_condition = sin +elif args.ic == 'step': + initial_condition = step +if args.add_visc == True: + visc = semigroup_heat +tf = max(0, args.Tf) +cfl = min(1, args.cfl) +USE_FILTER = args.use_filter + +dt = 0.02 fig, ax = plt.subplots(nrows=1, ncols=2, figsize = (14, 10), width_ratios=[3,1]) +fig.tight_layout() x = np.linspace(xmin, xmax, 1000) ax[0].plot(x, initial_condition(x), linewidth=0.1, color='k', label="init") -fig.tight_layout() -god = np.loadtxt("burg3_GOD_3.txt").transpose() -# ax[0].plot(god[0] * 2 * np.pi, god[1], 'ko', markersize=0.1, label="Godunov flux") -for i in range(8): + +for i in range(0, args.max_lgN - 4 + 1): N = np.power(2, i + 4); - M = 3 * N // 2; - NN = (2 * M//2) + N + print(f"N={N}") + M = 10 * N // 2; m = M // 2; + NN = (2 * m) + N dx = (xmax-xmin) / N - dt = min(dt, 0.01 * dx) + dt = min(dt, cfl * dx) x = np.arange(xmin, xmax, dx) k = freqs(N) kk = freqs(NN) filter = np.ones(len(kk)) - p = 5 + p = i if USE_FILTER == True: filter = create_filter(kk, sigma, {'p':p}) args = (N, M, filter, a) @@ -131,7 +169,6 @@ def semigroup_none(dt, k, eps): ''' times, u = elrk4([S_half, S], rhs, u_hat_init, (0, tf), dt, args) ax[0].plot(x, ifft(u[-1]).real, label=str(N)+f", t={np.round(times[-1], 3)}") - ax[0].legend() plot_resolution(u[-1], ax[1], {'linewidth':0.1, 'markersize':0.1}) ''' nr = 11 @@ -147,5 +184,18 @@ def semigroup_none(dt, k, eps): f.savefig(f"{N}-f{USE_FILTER}-f{str(p)}.png") ''' np.savetxt(f"{N}.txt", np.vstack((k, u[-1].real))) -fig.savefig(f"f{rhs}-f{str(USE_FILTER)}-f{str(p)}.png") + print("Saved file.") + +if rhs == burgers: + if tf == 1: + god = np.loadtxt("burg3_GOD_5.txt").transpose() + if tf == 0.6: + god = np.loadtxt("burg3_GOD_3.txt").transpose() + if tf == 0.2: + god = np.loadtxt("burg3_GOD_1.txt").transpose() + ax[0].plot(god[0] * 2 * np.pi, god[1], 'ko', markersize=0.1, label="Godunov flux") +ax[0].legend() +fig.savefig(f"f{rhs}-f{str(USE_FILTER)}.png") + plt.close() +print("Done.") diff --git a/requirements.txt b/requirements.txt index 6c57a4d..bb39a8a 100644 --- a/requirements.txt +++ b/requirements.txt @@ -2,3 +2,4 @@ future numpy matplotlib scipy +argparse