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
|
/* This file is part of the OpenLB library
*
* Copyright (C) 2015 Mathias J. Krause
* E-mail contact: info@openlb.net
* The most recent release of OpenLB can be downloaded at
* <http://www.openlb.net/>
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public
* License along with this program; if not, write to the Free
* Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
* Boston, MA 02110-1301, USA.
*/
#ifndef FRINGE_2D_HH
#define FRINGE_2D_HH
#include<vector>
#include<cmath>
#include "fringe2D.h"
namespace olb {
template <typename T, typename S>
Fringe2D<T,S>::Fringe2D(AnalyticalF2D<T,S>& wantedVelocity, T start, T end, int direction, T lambdaMax, T rise, T fall)
: AnalyticalF2D<T,S>(6), _wantedVelocity(wantedVelocity), _start(start),
_end(end), _direction(direction), _lambdaMax(lambdaMax), _rise(rise),
_fall(fall)
{
this->getName() = "fringe";
}
template <typename T, typename S>
bool Fringe2D<T,S>::operator()(T output[6], const S input[2])
{
output[3] = T();
output[4] = T();
if ( _wantedVelocity(output, input) ) {
T scaleLambda = lambda(input[_direction]);
output[0] = -scaleLambda*output[0];
output[1] = -scaleLambda*output[1];
output[2] = scaleLambda;
output[5] = scaleLambda;
return true;
} else {
output[0] = T();
output[1] = T();
output[2] = T();
output[5] = T();
return false;
}
}
template <typename T, typename S>
T Fringe2D<T,S>::s(const T& x) const
{
if ( x < std::numeric_limits<T>::epsilon() ) {
return 0.;
} else if (x > T(1)-std::numeric_limits<T>::epsilon() ) {
return T(1);
} else {
return T(1)/(T(1) + exp( T(1)/(x - T(1) ) + T(1)/x ) );
}
}
template <typename T, typename S>
T Fringe2D<T,S>::lambda(const T& x) const
{
return _lambdaMax*(s((x - _start)/_rise*(_end - _start) ) - s((x - _end)/_fall*(_end - _start) + T(1.)) );
}
} // end namespace olb
#endif
|
