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
|
/* This file is part of the OpenLB library
*
* Copyright (C) 2017 Adrian Kummerlaender
* 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 HYPERPLANE_LATTICE_3D_H
#define HYPERPLANE_LATTICE_3D_H
#include "core/vector.h"
#include "geometry/cuboidGeometry3D.h"
#include "hyperplane3D.h"
namespace olb {
/// Parametrization of a hyperplane lattice.
/**
* i.e. the resolution / grid width of the discretization of a given hyperplane.
*
* This class provides a common interface for describing how to discretize the intersection
* of a hyperplane given by Hyperplane3D<T> and the mother cuboid of CuboidGeometry3D<T>.
**/
template <typename T>
class HyperplaneLattice3D {
private:
/// \return max possible distance
int computeMaxLatticeDistance(Cuboid3D<T>&& cuboid) const;
/// Compute _hyperplane.origin, _nx, _ny so that the cuboid is right inside the geometry
void constructCuboid(CuboidGeometry3D<T>& geometry, int maxLatticeDistance);
/// Update _h, _nx, _ny, _hyperplane.(u,v) so that the longest side length matches the given resolution
void setToResolution(int resolution);
protected:
const Hyperplane3D<T> _hyperplane;
/// Origin vector of the lattice
/**
* Note that this origin is set to a outermost point of the intersection between
* cuboid geometry and hyperplane. Thus it is different from the Hyperplane3D<T>
* origin vector in the general case.
**/
Vector<T,3> _origin;
/// Span vector of the lattice, normalized to grid width _h
Vector<T,3> _u;
/// Span vector of the lattice, normalized to grid width _h
Vector<T,3> _v;
/// Distance between discrete lattice points
T _h;
/// Number of lattice points in the direction of _u
int _nx;
/// Number of lattice points in the direction of _v
int _ny;
public:
/// Constructor for automatic discretization.
/**
* i.e. the grid width is set to CuboidGeometry3D<T>::getMinDeltaR.
**/
HyperplaneLattice3D(CuboidGeometry3D<T>& geometry,
Hyperplane3D<T> hyperplane);
/// Constructor for discretization of a given resolution.
HyperplaneLattice3D(CuboidGeometry3D<T>& geometry,
Hyperplane3D<T> hyperplane,
int resolution);
/// Constructor for discretization of a given grid width.
HyperplaneLattice3D(CuboidGeometry3D<T>& geometry,
Hyperplane3D<T> hyperplane,
T h);
/// Constructor for manual discretization
/**
* \param hyperplane Hyperplane in 3D space
* \param h lattice point spacing
* \param nx X axis resolution
* \param ny Y axis resolution
**/
HyperplaneLattice3D(Hyperplane3D<T> hyperplane,
T h, int nx, int ny);
HyperplaneLattice3D(const HyperplaneLattice3D&) = default;
const Hyperplane3D<T>& getHyperplane() const;
/// Transform 2d lattice coordinates to their physical 3d location
Vector<T,3> getPhysR(const int& planeX, const int& planeY) const;
/// \return _nx
int getNx() const;
/// \return _ny
int getNy() const;
/// \return _h
T getPhysSpacing() const;
/// \return _origin
Vector<T,3> getPhysOrigin() const;
/// \return _u
Vector<T,3> getVectorU() const;
/// \return _v
Vector<T,3> getVectorV() const;
};
}
#endif
|