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MathTL
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00001 // -*- c++ -*- 00002 00003 // +--------------------------------------------------------------------+ 00004 // | This file is part of MathTL - the Mathematical Template Library | 00005 // | | 00006 // | Copyright (c) 2002-2009 | 00007 // | Thorsten Raasch, Manuel Werner | 00008 // +--------------------------------------------------------------------+ 00009 00010 #ifndef _MATHTL_CORNER_SINGULARITY_H 00011 #define _MATHTL_CORNER_SINGULARITY_H 00012 00013 #include <geometry/point.h> 00014 #include <utils/function.h> 00015 00016 namespace MathTL 00017 { 00036 class CornerSingularity 00037 : public Function<2> 00038 { 00039 public: 00045 CornerSingularity(const Point<2>& x0, 00046 const double theta0, 00047 const double omega, 00048 const double r0 = 0.01, 00049 const double r1 = 0.99); 00050 00052 virtual ~CornerSingularity() {} 00053 00055 double value(const Point<2>& x, const unsigned int component = 0) const; 00056 00058 void vector_value(const Point<2>& p, Vector<double>& values) const; 00059 00060 protected: 00062 Point<2> x0; 00063 00065 double theta0; 00066 00068 double omega; 00069 00071 double r0, r1; 00072 00074 double zeta(const double r) const; 00075 }; 00076 00082 class CornerSingularityRHS 00083 : public Function<2> 00084 { 00085 public: 00091 CornerSingularityRHS(const Point<2>& x0, 00092 const double theta0, 00093 const double omega, 00094 const double r0 = 0.01, 00095 const double r1 = 0.99); 00096 00098 virtual ~CornerSingularityRHS() {} 00099 00101 double value(const Point<2>& x, const unsigned int component = 0) const; 00102 00104 void vector_value(const Point<2>& p, Vector<double>& values) const; 00105 00106 protected: 00108 Point<2> x0; 00109 00111 double theta0; 00112 00114 double omega; 00115 00117 double r0, r1; 00118 00120 double zeta(const double r) const; 00121 00123 double zeta_prime(const double r) const; 00124 00126 double zeta_primeprime(const double r) const; 00127 }; 00128 00134 class CornerSingularityGradient 00135 : public Function<2> 00136 { 00137 public: 00143 CornerSingularityGradient(const Point<2>& x0, 00144 const double theta0, 00145 const double omega, 00146 const double r0 = 0.01, 00147 const double r1 = 0.99); 00148 00150 virtual ~CornerSingularityGradient() {} 00151 00153 double value(const Point<2>& x, const unsigned int component = 0) const; 00154 00156 void vector_value(const Point<2>& p, Vector<double>& values) const; 00157 00158 protected: 00160 Point<2> x0; 00161 00163 double theta0; 00164 00166 double omega; 00167 00169 double r0, r1; 00170 00172 double zeta(const double r) const; 00173 00175 double zeta_prime(const double r) const; 00176 00177 }; 00178 00194 class CornerTimeSingularity 00195 : public Function<2> 00196 { 00197 public: 00203 CornerTimeSingularity(const Point<2>& x0, 00204 const double theta0, 00205 const double omega); 00206 00208 virtual ~CornerTimeSingularity() {} 00209 00211 double value(const Point<2>& x, const unsigned int component = 0) const; 00212 00214 void vector_value(const Point<2>& p, Vector<double>& values) const; 00215 00216 protected: 00218 Point<2> x0; 00219 00221 double theta0; 00222 00224 double omega; 00225 }; 00226 00230 class CornerTimeSingularityRHS 00231 : public Function<2> 00232 { 00233 public: 00239 CornerTimeSingularityRHS(const Point<2>& x0, 00240 const double theta0, 00241 const double omega); 00242 00244 virtual ~CornerTimeSingularityRHS() {} 00245 00247 double value(const Point<2>& x, const unsigned int component = 0) const; 00248 00250 void vector_value(const Point<2>& p, Vector<double>& values) const; 00251 00252 protected: 00254 Point<2> x0; 00255 00257 double theta0; 00258 00260 double omega; 00261 }; 00262 00266 class CornerTimeSingularityRHSt 00267 : public Function<2> 00268 { 00269 public: 00275 CornerTimeSingularityRHSt(const Point<2>& x0, 00276 const double theta0, 00277 const double omega); 00278 00280 virtual ~CornerTimeSingularityRHSt() {} 00281 00283 double value(const Point<2>& x, const unsigned int component = 0) const; 00284 00286 void vector_value(const Point<2>& p, Vector<double>& values) const; 00287 00288 protected: 00290 Point<2> x0; 00291 00293 double theta0; 00294 00296 double omega; 00297 }; 00298 00299 } 00300 00301 // implementations of inline functions 00302 #include "numerics/corner_singularity.cpp" 00303 00304 #endif
1.7.6.1
