cfd-solver/run_burgers_equation_1d_vs_cole_hopf.py at main · mathieucadei/cfd-solver · GitHub

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"""Run the 1D Burgers' & Cole-Hopf solvers and generate solution & comparision plots."""


import numpy as np

from core import (
    BurgersEquation1DConfig,
    cole_hopf_initial_condition_1d,
    make_cole_hopf_x_grid,
    solve_burgers_equation_1d,
    solve_cole_hopf_1d,
)

from post_processing import (
    show_solution_1d_animation,
    show_solution_contour_map,
    show_solution_overview,
    show_solution_surface,
    show_solution_traces,
)


# Pre-processing
# Simulation parameters

domain_length_x = 6.0
num_grid_points_x = 101
max_iterations = 100
time_step = 0.0025
grid_type: str = "cole_hopf"
sigma = 0.02
viscosity = 0.07
hat_start = 0.5
hat_end = 1.0
u_min = 1.0
u_max = 2.0


# Visualization parameters

step_stride = 20
case_name = '1d burgers vs cole-hopf'
title = True
save = False
show_individual_plots = False


# Create the configuration object

burgers_1d_config = BurgersEquation1DConfig(
    domain_length_x=domain_length_x,
    num_grid_points_x=num_grid_points_x,
    max_iterations=max_iterations,
    time_step=time_step,
    grid_type=grid_type,
    sigma=sigma,
    viscosity=viscosity,
    hat_start=hat_start,
    hat_end=hat_end,
    u_min=u_min,
    u_max=u_max,
)


# Generate the grid and time array

x_array = make_cole_hopf_x_grid(burgers_1d_config)
time_array = np.arange(0, burgers_1d_config.max_iterations + 1)

# Initialize the initial condition

initial_condition = cole_hopf_initial_condition_1d(x_array, burgers_1d_config)


# Solve
# Numerical Burgers' equation

solution_history_num = solve_burgers_equation_1d(initial_condition, burgers_1d_config)


# Analytical Cole-Hopf equation

solution_history_ana = solve_cole_hopf_1d(x_array, burgers_1d_config)


# Post-processing

if show_individual_plots:
    show_solution_traces(
        x_values=x_array,
        cut_values=time_array,
        num_solution_matrix=solution_history_num,
        ana_solution_matrix=solution_history_ana,
        step_stride=step_stride,
        case_name=case_name,
        title=title,
        save=save,
    )

    show_solution_traces(
        x_values=time_array,
        cut_values=x_array,
        num_solution_matrix=solution_history_num,
        axis=1,
        ana_solution_matrix=solution_history_ana,
        step_stride=step_stride,
        cut_label='x',
        case_name=case_name,
        title=title,
        save=save,
    )

    show_solution_contour_map(
        x_values=x_array,
        y_values=time_array,
        solution_matrix=solution_history_num,
        case_name=case_name,
        title=title,
        save=save,
    )

    show_solution_surface(
        x_values=x_array,
        y_values=time_array,
        solution_matrix=solution_history_num,
        case_name=case_name,
        title=title,
        save=save,
    )

show_solution_overview(
    x_values=x_array,
    y_values=time_array,
    num_solution_matrix=solution_history_num,
    ana_solution_matrix=solution_history_ana,
    step_stride=step_stride,
    case_name=case_name,
    title=title,
    save=save,
)

show_solution_1d_animation(
    x_values=x_array,
    num_solution_history=solution_history_num,
    ana_solution_history=solution_history_ana,
    case_name=case_name,
    save=save,
)