File size: 1,015 Bytes
c711202
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
# Two-source problem
# PINN cannot handle this (assumes single Gaussian)
# GP-FVM can recover the full nonparametric source field

[physics]
vx = 1.0          # Advection velocity in x
vy = 0.0          # Advection velocity in y
D = 0.05          # Diffusion coefficient
domain = [0.0, 1.0, 0.0, 1.0]  # [x_min, x_max, y_min, y_max]
c_inflow = 0.0    # Dirichlet BC at left boundary

# Two sources at different locations
[[sources]]
x = 0.25
y = 0.3
strength = 4.0
width = 0.10

[[sources]]
x = 0.35
y = 0.7
strength = 3.0
width = 0.12

# Observations spread across the domain

[[observations]]
x = 0.5
y = 0.3

[[observations]]
x = 0.5
y = 0.7

[[observations]]
x = 0.6
y = 0.5

[[observations]]
x = 0.7
y = 0.3

[[observations]]
x = 0.7
y = 0.7

[[observations]]
x = 0.8
y = 0.4

[[observations]]
x = 0.8
y = 0.6

[[observations]]
x = 0.9
y = 0.5

[[observations]]
x = 0.4
y = 0.4

[[observations]]
x = 0.4
y = 0.6

[[observations]]
x = 0.5
y = 0.5

[[observations]]
x = 0.6
y = 0.3

[noise]
std = 0.01
seed = 42