cfd-solver/run_diffusion_1d.py at main · mathieucadei/cfd-solver · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
"""Run the 1D diffusion solver and generate solution plots."""


import numpy as np

from core import (
    Diffusion1DConfig,
    hat_initial_condition_1d,
    make_x_grid,
    solve_diffusion_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 = 2.0
num_grid_points_x = 41
max_iterations = 41
sigma = 0.2
viscosity = 0.3
hat_start = 0.5
hat_end = 1.0
u_min = 1.0
u_max = 2.0


# Visualization parameters

step_stride = 20
case_name = '1d diffusion'
title = True
save = False
show_individual_plots = False


# Create the configuration object

diffusion_1d_config = Diffusion1DConfig(
    domain_length_x=domain_length_x,
    num_grid_points_x=num_grid_points_x,
    max_iterations=max_iterations,
    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_x_grid(diffusion_1d_config)
time_array = np.arange(0, diffusion_1d_config.max_iterations + 1)


# Initialize the initial condition

initial_condition = hat_initial_condition_1d(x_array, diffusion_1d_config)


# Solve the diffusion equation

solution_history = solve_diffusion_1d(initial_condition, diffusion_1d_config)


# Post-processing

if show_individual_plots:
    show_solution_traces(
        x_values=x_array,
        cut_values=time_array,
        num_solution_matrix=solution_history,
        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,
        axis=1,
        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,
        case_name=case_name,
        title=title,
        save=save,
    )

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

show_solution_overview(
    x_values=x_array,
    y_values=time_array,
    num_solution_matrix=solution_history,
    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,
    case_name=case_name,
    save=save,
)