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
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
use core::ops::{Index, IndexMut};
use std::{fmt, fs::{File}, io::Write };
pub use crate::traits::{Number, Signed, Zero, One};
pub use crate::vector::Vector;
pub use crate::mesh1d::Mesh1D;
pub use crate::matrix::Matrix;
pub struct Mesh2D<T> {
nvars: usize,
nx: usize,
ny: usize,
x_nodes: Vector<f64>,
y_nodes: Vector<f64>,
vars: Vec<Vector<T>>,
}
impl<T: Clone + Number> Mesh2D<T> {
#[inline]
pub fn new( x_nodes: Vector<f64>, y_nodes: Vector<f64>, nvars: usize ) -> Self {
let node_vars = Vector::<T>::new( nvars, T::zero() );
let mut vars = Vec::new();
let nx = x_nodes.size();
let ny = y_nodes.size();
for _i in 0..nx {
for _j in 0..ny {
vars.push( node_vars.clone() );
}
}
Mesh2D { nvars, nx, ny, x_nodes, y_nodes, vars }
}
#[inline]
pub fn nvars(&self) -> usize {
self.nvars
}
#[inline]
pub fn nnodes(&self) -> ( usize, usize ) {
( self.nx, self.ny )
}
#[inline]
pub fn coord(&self, nodex: usize, nodey: usize ) -> ( f64, f64 ) {
let px = self.x_nodes[ nodex ];
let py = self.y_nodes[ nodey ];
( px, py )
}
#[inline]
pub fn xnodes(&self) -> Vector<f64> {
self.x_nodes.clone()
}
#[inline]
pub fn ynodes(&self) -> Vector<f64> {
self.y_nodes.clone()
}
#[inline]
pub fn set_nodes_vars(&mut self, nodex: usize, nodey: usize, vec: Vector<T> ) {
if vec.size() != self.nvars { panic!( "Mesh2D error: set_nodes_vars " ); }
self.vars[ nodex * self.ny + nodey ] = vec;
}
#[inline]
pub fn get_nodes_vars(&self, nodex: usize, nodey: usize ) -> Vector<T> {
self.vars[ nodex * self.ny + nodey ].clone()
}
#[inline]
pub fn assign(&mut self, element: T ) {
for i in 0..self.nx {
for j in 0..self.ny {
for v in 0..self.nvars {
self.vars[ i * self.ny + j ][ v ] = element.clone();
}
}
}
}
#[inline]
pub fn cross_section_xnode(&self, nodex: usize ) -> Mesh1D<T, f64> {
let mut section = Mesh1D::<T, f64>::new( self.y_nodes.clone(), self.nvars );
for nodey in 0..self.ny {
section.set_nodes_vars( nodey, self.get_nodes_vars( nodex, nodey ) );
}
section
}
#[inline]
pub fn cross_section_ynode(&self, nodey: usize ) -> Mesh1D<T, f64> {
let mut section = Mesh1D::<T, f64>::new( self.x_nodes.clone(), self.nvars );
for nodex in 0..self.nx {
section.set_nodes_vars( nodex, self.get_nodes_vars( nodex, nodey ) );
}
section
}
#[inline]
pub fn var_as_matrix(&self, var: usize ) -> Matrix<T> {
let mut m = Matrix::<T>::new( self.nx, self.ny, T::zero() );
for i in 0..self.nx {
for j in 0..self.ny {
m[i][j] = self.vars[ i * self.ny + j ][ var ].clone();
}
}
m
}
#[inline]
pub fn apply(&mut self, func: &dyn Fn(f64, f64) -> T, var: usize ) {
for i in 0..self.nx {
let x = self.x_nodes[i].clone();
for j in 0..self.ny {
let y = self.y_nodes[j].clone();
self.vars[ i * self.ny + j ][ var ] = func( x, y );
}
}
}
}
impl Mesh2D<f64> {
#[inline]
pub fn trapezium(&self, var: usize ) -> f64 {
let mut sum: f64 = 0.0;
for i in 0..self.nx-1 {
let dx = self.x_nodes[ i + 1 ] - self.x_nodes[ i ];
for j in 0..self.ny-1 {
let dy = self.y_nodes[ j + 1 ] - self.y_nodes[ j ];
sum += 0.25 * dx * dy * ( self.vars[ i * self.ny + j ][ var ]
+ self.vars[ ( i + 1 ) * self.ny + j ][ var ]
+ self.vars[ i * self.ny + j + 1 ][ var ]
+ self.vars[ ( i + 1 ) * self.ny + j + 1 ][ var ] );
}
}
sum
}
#[inline]
pub fn square_trapezium(&self, var: usize ) -> f64 {
let mut sum: f64 = 0.0;
for i in 0..self.nx-1 {
let dx = self.x_nodes[ i + 1 ] - self.x_nodes[ i ];
for j in 0..self.ny-1 {
let dy = self.y_nodes[ j + 1 ] - self.y_nodes[ j ];
sum += 0.25 * dx * dy * (
libm::pow( self.vars[ i * self.ny + j ][ var ].abs(), 2.0 )
+ libm::pow( self.vars[ ( i + 1 ) * self.ny + j ][ var ].abs(), 2.0 )
+ libm::pow( self.vars[ i * self.ny + j + 1 ][ var ].abs(), 2.0 )
+ libm::pow( self.vars[ ( i + 1 ) * self.ny + j + 1 ][ var ].abs(), 2.0 ) );
}
}
sum
}
}
impl<T> Index<(usize, usize)> for Mesh2D<T> {
type Output = Vector<T>;
#[inline]
fn index<'a>(&'a self, node: (usize, usize) ) -> &'a Vector<T> {
&self.vars[ node.0 * self.ny + node.1 ]
}
}
impl<T> IndexMut<(usize, usize)> for Mesh2D<T> {
#[inline]
fn index_mut(&mut self, node: (usize, usize) ) -> &mut Vector<T> {
&mut self.vars[ node.0 * self.ny + node.1 ]
}
}
impl<T: fmt::Display> Mesh2D<T> {
#[inline]
pub fn output(&self, filename: &str, precision: usize ) {
let mut f = File::create(filename).expect("Unable to create file");
for j in 0..self.ny {
for i in 0..self.nx {
write!( f, "{number:.prec$} ", prec = precision, number = self.x_nodes[ i ] ).unwrap();
write!( f, "{number:.prec$} ", prec = precision, number = self.y_nodes[ j ] ).unwrap();
for var in 0..self.nvars {
write!( f, "{number:.prec$} ", prec = precision, number = self.vars[ i * self.ny + j ][ var ] ).unwrap();
}
writeln!(f, "").unwrap();
}
writeln!(f, "").unwrap();
}
}
#[inline]
pub fn output_var(&self, filename: &str, var: usize, precision: usize ) {
let mut f = File::create(filename).expect("Unable to create file");
for j in 0..self.ny {
for i in 0..self.nx {
write!( f, "{number:.prec$} ", prec = precision, number = self.x_nodes[ i ] ).unwrap();
write!( f, "{number:.prec$} ", prec = precision, number = self.y_nodes[ j ] ).unwrap();
write!( f, "{number:.prec$} ", prec = precision, number = self.vars[ i * self.ny + j ][ var ] ).unwrap();
writeln!(f, "").unwrap();
}
writeln!(f, "").unwrap();
}
}
}