File size: 3,766 Bytes
5a600cf
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     | Website:  https://openfoam.org
    \\  /    A nd           | Copyright (C) 2025 OpenFOAM Foundation
     \\/     M anipulation  |
-------------------------------------------------------------------------------
License
    This file is part of OpenFOAM.

    OpenFOAM 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 3 of the License, or
    (at your option) any later version.

    OpenFOAM 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 OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.

Class
    Foam::extrudeModels::path

Description
    Extrudes by transforming points along an curve defined as an edgeMesh

    Uses rotation minimising frames (RMF) algorithm, which is based on
    the Frenet-Serret equations, and described in:
    \verbatim
        Wang, W., Jüttler, B., Zheng, D., & Liu, Y. (2008).
        Computation of rotation minimizing frames.
        ACM Transactions on Graphics (TOG), 27(1), 1-18.
    \endverbatim

\*---------------------------------------------------------------------------*/

#ifndef path_extrudeModel_H
#define path_extrudeModel_H

#include "extrudeModel.H"
#include "pointField.H"

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

class edgeMesh;

namespace extrudeModels
{

/*---------------------------------------------------------------------------*\
                      Class path Declaration
\*---------------------------------------------------------------------------*/

class path
:
    public extrudeModel
{
    // Private Data

        //- Coordinates defining the extrusion curve
        autoPtr<edgeMesh> eMeshPtr_;

        //- Cumulative point distances along the extrusion curve
        scalarField distances_;

        //- Extrude direction for each frame along the extrusion curve
        vectorField directions_;

        //- Normals to each direction frame
        vectorField normals_;

        //- Transposed orthonormal rotation tensor at the first layer
        tensor R0T_;


    // Private Member Functions

        //- Find cumulative point span which contains the given distance
        label findFrameIndex(const scalar distance) const;


    // Private Static Member Functions

        //- Cartesian axis perpendicular to the supplied direction
        static vector orthogonal(const vector& dirn);

        //- Frenet-Serret rotational tensor
        static tensor orthonormalBasis(const vector& T, const vector& N);


public:

    //- Runtime type information
    TypeName("path");


    // Constructors

        //- Construct from dictionary
        path(const dictionary& dict);


    //- Destructor
    virtual ~path();


    // Member Operators

        point operator()
        (
            const point& surfacePoint,
            const vector& surfaceNormal,
            const label layer
        ) const;
};


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace extrudeModels
} // End namespace Foam

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#endif

// ************************************************************************* //