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* redistribute this software in source and binary code form, provided |
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* that the following conditions are met: |
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* |
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* 1. Acknowledgement of the program authors must be made in any |
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* publication of scientific results based in part on use of the |
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* program. An acceptable form of acknowledgement is citation of |
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* the article in which the program was described (Matthew |
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* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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* Parallel Simulation Engine for Molecular Dynamics," |
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* J. Comput. Chem. 26, pp. 252-271 (2005)) |
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* |
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* 2. Redistributions of source code must retain the above copyright |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 3. Redistributions in binary form must reproduce the above copyright |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the |
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* distribution. |
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* University of Notre Dame has been advised of the possibility of |
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* such damages. |
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* |
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* SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your |
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* research, please cite the appropriate papers when you publish your |
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* work. Good starting points are: |
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* |
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* [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005). |
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* [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006). |
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* [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008). |
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* [4] Vardeman & Gezelter, in progress (2009). |
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* |
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* |
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* Triangle.cpp |
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* |
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* Purpose: Provide basic triangle object for OOPSE |
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* Purpose: Provide basic triangle object for OpenMD |
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* |
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* Created by Charles F. Vardeman II on 29 July 2008. |
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* @author Charles F. Vardeman II |
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* @version $Id: Triangle.cpp,v 1.1 2008-11-14 15:44:34 chuckv Exp $ |
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* @version $Id: Triangle.cpp,v 1.4 2009-11-25 20:02:01 gezelter Exp $ |
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* |
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*/ |
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#include "math/Triangle.hpp" |
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|
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using namespace oopse; |
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using namespace OpenMD; |
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|
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|
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Triangle::Triangle() : HaveNormal_(false), HaveCentroid_(false),HaveArea_(false), area_(0.0), normal_(V3Zero), |
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centroid_(V3Zero),facetVelocity_(V3Zero), mass_(0.0), |
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a_(V3Zero),b_(V3Zero),c_(V3Zero){ |
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Triangle::Triangle() : HaveNormal_(false), HaveCentroid_(false), |
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HaveArea_(false), area_(0.0), normal_(V3Zero), |
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centroid_(V3Zero), facetVelocity_(V3Zero), mass_(0.0), |
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a_(V3Zero), b_(V3Zero), c_(V3Zero){ |
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} |
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|
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void Triangle::addVertices(Vector3d P1, Vector3d P2, Vector3d P3){ |
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// Compute some quantites like a,b,c |
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a_ = P1-P2; |
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b_ = P1-P3; |
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c_ = P1-P3; |
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c_ = P2-P3; |
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} |
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|
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centroid_ = (vertices_[0] + vertices_[1] + vertices_[2])/3.0; |
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return centroid_; |
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} |
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|
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|
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Mat3x3d Triangle::computeHydrodynamicTensor(RealType viscosity) { |
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|
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Vector3d u0 = -a_; |
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Vector3d v0 = centroid_ - vertices_[0]; |
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RealType s0 = 0.5*cross(u0,v0).length(); |
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|
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Vector3d u1 = -c_; |
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Vector3d v1 = centroid_ - vertices_[1]; |
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RealType s1 = 0.5*cross(u1,v1).length(); |
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|
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Vector3d u2 = b_; |
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Vector3d v2 = centroid_ - vertices_[2]; |
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RealType s2 = 0.5*cross(u2,v2).length(); |
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|
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Mat3x3d H; |
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H = hydro_tensor(centroid_,centroid_,vertices_[1],vertices_[0],s0,viscosity)+ |
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hydro_tensor(centroid_,centroid_,vertices_[1],vertices_[2],s1,viscosity)+ |
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hydro_tensor(centroid_,centroid_,vertices_[2],vertices_[0],s2,viscosity); |
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|
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return H.inverse(); |
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} |
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|
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Mat3x3d Triangle::hydro_tensor( |
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const Vector3d& ri, |
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const Vector3d& rj0, |
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const Vector3d& rj1, |
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const Vector3d& rj2, |
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RealType s, RealType viscosity){ |
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|
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Vector3d v2 = (rj0 + rj1 + rj2)/3.0; // sub-centroid |
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Vector3d dr = ri - v2; // real centroid to sub-centroid |
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RealType l2 = 1.0/dr.lengthSquare(); |
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|
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Mat3x3d G; |
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G = (SquareMatrix3<RealType>::identity() + outProduct(dr,dr)*l2)*sqrt(l2); |
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|
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G *= 0.125/3.14159285358979; |
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G *= s/viscosity; |
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return G; |
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} |