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/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2016-2026 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::binaryNode
Description
Node of the binary tree
SourceFile
binaryNode.C
\*---------------------------------------------------------------------------*/
#ifndef binaryNode_H
#define binaryNode_H
#include "chemPointISAT.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace Foam
{
/*---------------------------------------------------------------------------*\
Class binaryNode Declaration
\*---------------------------------------------------------------------------*/
class binaryNode
{
public:
//- Element on the left
chemPointISAT* leafLeft_;
//- Element on the right
chemPointISAT* leafRight_;
//- Node which follows on the left
binaryNode* nodeLeft_;
//- Node which follows on the right
binaryNode* nodeRight_;
//- Parent node
binaryNode* parent_;
scalarField v_;
scalar a_;
//- Compute vector v:
// Let E be the ellipsoid which covers the region of accuracy of
// the left leaf (previously defined). E is described by
// E={phi| ||L^T.(phi-phi0)|| <= 1}, (see chemPoint for more details).
// let E' be the transformation of E in a space where E' is a hypersphere
// centered at the origin, in this space y=L^T.(phi-phi0) and then
// E'={y| ||y||<=1}
// let u be the unit vector joining the center of E' and the newly added
// composition point in the transformed space
// (y2=L^T.(phiq-phi0)),u = y2/||y2|
// Then the hyperplane separating the two points is defined as the
// perpendicular bisector of the segment linking 0 to y2
// H' = {y| u^T.(y-yh) = 0},
// where yh = y2/2.
// In the original composition space, the hyperplane H is defined by
// H = {y| v^T(phi-phih) = 0},
// where phih = phi0 + L^-T.yh = (phi0 + phiq) / 2 and v is
// L.L^T (phiq-phi0)
// v = -------------------- .
// ||L.L^T (phiq-phi0)||
//
// Note : v is not normalised in this implementation since it is used
// on both side of an equality to know if one should go on the
// left or the right in the binary tree
// Parameter:
// elementLeft : chemPoint of the left element
// elementRight: chemPoint of the right element
// v : empty scalar field to store v
// Returnq: void (v is stored in the empty scalarField)
void calcV
(
const chemPointISAT& elementLeft,
const chemPointISAT& elementRight,
scalarField& v
);
//- Compute a the product v^T.phih, with phih = (phi0 + phiq)/2.
// When travelling in the binary tree,
// to know in which part of the composition space the query point 'phi'
// belongs to, v^T.phi is performed. If the result is "> a" then it belongs
// to the right part (where phiq is), otherwise it belongs to the left
// part (where phi0 is).
inline scalar calcA
(
const chemPointISAT& elementLeft,
const chemPointISAT& elementRight
);
// Constructors
//- Construct null
binaryNode();
//- Construct from components
binaryNode
(
chemPointISAT* elementLeft,
chemPointISAT* elementRight,
binaryNode* parent
);
// Member Functions
//- Access
inline chemPointISAT*& leafLeft()
{
return leafLeft_;
}
inline chemPointISAT*& leafRight()
{
return leafRight_;
}
inline binaryNode*& nodeLeft()
{
return nodeLeft_;
}
inline binaryNode*& nodeRight()
{
return nodeRight_;
}
inline binaryNode*& parent()
{
return parent_;
}
//- Topology
inline const scalarField& v() const
{
return v_;
}
inline const scalar& a() const
{
return a_;
}
};
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace Foam
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#include "binaryNodeI.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#endif
// ************************************************************************* //