Maxwell solver example

makefile

@@ -43,7 +43,7 @@ make solvers
 	 Builds each solver executable.
 make {solver}
 	 Builds a solver executable,
-	 solver can be acoustics/advection/bns/cns/elliptic/fokkerPlanck/gradient/ins.
+	 solver can be acoustics/advection/bns/cns/elliptic/fokkerPlanck/gradient/ins/maxwell.
 make clean
 	 Cleans all solver executables, libraries, and object files.
 make clean-{solver}
@@ -64,7 +64,7 @@ Can use "make verbose=true" for verbose output.
 endef
 
 ifeq (,$(filter solvers \
-				acoustics advection bns cns elliptic fokkerPlanck gradient ins \
+				acoustics advection bns cns elliptic fokkerPlanck gradient ins maxwell \
 				lib clean clean-kernels \
 				realclean info help test,$(MAKECMDGOALS)))
 ifneq (,$(MAKECMDGOALS))
@@ -88,12 +88,12 @@ LIBP_CORE_LIBS=timeStepper linearSolver parAlmond mesh ogs linAlg core
 SOLVER_DIR   =${LIBP_DIR}/solvers
 
 .PHONY: all solvers libp_libs \
-			acoustics advection bns lbs cns elliptic fokkerPlanck gradient ins \
+			acoustics advection bns lbs cns elliptic fokkerPlanck gradient ins maxwell\
 			clean clean-libs realclean help info
 
 all: solvers
 
-solvers: acoustics advection bns lbs cns elliptic fokkerPlanck gradient ins
+solvers: acoustics advection bns lbs cns elliptic fokkerPlanck gradient ins maxwell
 
 libp_libs:
 ifneq (,${verbose})
@@ -174,10 +174,19 @@ else
 	@${MAKE} -C ${SOLVER_DIR}/$(@F) --no-print-directory
 endif
 
+maxwell: libp_libs
+ifneq (,${verbose})
+	${MAKE} -C ${SOLVER_DIR}/$(@F) verbose=${verbose}
+else
+	@printf "%b" "$(SOL_COLOR)Building $(@F) solver$(NO_COLOR)\n";
+	@${MAKE} -C ${SOLVER_DIR}/$(@F) --no-print-directory
+endif
+
+
 #cleanup
 clean: clean-acoustics clean-advection clean-bns clean-lbs clean-cns \
 	   clean-elliptic clean-fokkerPlanck clean-gradient clean-ins \
-	   clean-libs
+	   clean-maxwell clean-libs
 
 clean-acoustics:
 	${MAKE} -C ${SOLVER_DIR}/acoustics clean
@@ -206,6 +215,9 @@ clean-gradient:
 clean-ins:
 	${MAKE} -C ${SOLVER_DIR}/ins clean
 
+clean-maxwell:
+	${MAKE} -C ${SOLVER_DIR}/maxwell clean
+
 clean-libs:
 	${MAKE} -C ${LIBP_LIBS_DIR} clean
 

solvers/maxwell/data/maxwellGaussian2D.h

@@ -0,0 +1,45 @@
+/*
+
+The MIT License (MIT)
+
+Copyright (c) 2017-2022 Tim Warburton, Noel Chalmers, Jesse Chan, Ali Karakus
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+
+*/
+
+
+// Boundary conditions
+/* PEC 1 */
+#define maxwellDirichletConditions2D(bc, t, x, y, nx, ny, HxM, HyM, EzM, HxB, HyB, EzB) \
+  {									\
+    if(bc==1){								\
+      *(HxB) = HxM;							\
+      *(HyB) = HyM;							\
+      *(EzB) = -EzM;							\
+    }									\
+  }
+
+// Initial conditions
+#define maxwellInitialConditions2D(t, x, y, Hx, Hy, Ez) \
+  {							\
+    *(Hx) = 0.0;					\
+    *(Hy) = 0.0;					\
+    *(Ez) = exp(-3*(x*x+y*y));				\
+  }

solvers/maxwell/data/maxwellGaussian3D.h

@@ -0,0 +1,52 @@
+/*
+
+The MIT License (MIT)
+
+Copyright (c) 2017-2022 Tim Warburton, Noel Chalmers, Jesse Chan, Ali Karakus
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+
+*/
+
+
+
+// Boundary conditions
+/* PEC=1 */
+#define maxwellDirichletConditions3D(bc, t, x, y, z, nx, ny, nz, HxM, HyM, HzM, ExM, EyM, EzM, HxB, HyB, HzB, ExB, EyB, EzB) \
+  {									\
+    if(bc==1){								\
+      *(HxB) = HxM;							\
+      *(HyB) = HyM;							\
+      *(HzB) = HzM;							\
+      *(ExB) = -ExM;							\
+      *(EyB) = -EyM;							\
+      *(EzB) = -EzM;							\
+    }									\
+  }
+
+// Initial conditions
+#define maxwellInitialConditions3D(t, x, y, z, Hx, Hy, Hz, Ex, Ey, Ez) \
+  {							   \
+    *(Hx) = 0.0;					   \
+    *(Hy) = 0.0;					   \
+    *(Hz) = 0.0;					   \
+    *(Ex) = 0.0;					   \
+    *(Ey) = 0.0;					   \
+    *(Ez) = exp(-3*(x*x+y*y+z*z));			   \
+  }

solvers/maxwell/data/maxwellMode2D.h

@@ -0,0 +1,48 @@
+/*
+
+The MIT License (MIT)
+
+Copyright (c) 2017-2022 Tim Warburton, Noel Chalmers, Jesse Chan, Ali Karakus
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+
+*/
+
+
+
+// Boundary conditions
+/* PEC=1 */
+#define maxwellDirichletConditions2D(bc, t, x, y, nx, ny, HxM, HyM,  EzM, HxB, HyB, EzB) \
+  {									\
+    if(bc==1){								\
+      *(HxB) = HxM;							\
+      *(HyB) = HyM;							\
+      *(EzB) = -EzM;							\
+    }									\
+  }
+
+// Initial conditions
+#define maxwellInitialConditions2D(t, x, y, Hx, Hy, Ez)			\
+  {									\
+    dfloat n = 1., m = 2.;						\
+    dfloat omega = M_PI*sqrt(n*n+m*m);					\
+    *(Hx) = -M_PI*n*sin(m*M_PI*x)*cos(n*M_PI*y)*sin(omega*t)/omega;	\
+    *(Hy) =  M_PI*m*cos(m*M_PI*x)*sin(n*M_PI*y)*sin(omega*t)/omega;	\
+    *(Ez) = sin(m*M_PI*x)*sin(n*M_PI*y)*cos(omega*t);			\
+  }

solvers/maxwell/data/maxwellMode3D.h

@@ -0,0 +1,54 @@
+/*
+
+The MIT License (MIT)
+
+Copyright (c) 2017-2022 Tim Warburton, Noel Chalmers, Jesse Chan, Ali Karakus
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+
+*/
+
+
+
+// Boundary conditions
+/* PEC=1 */
+#define maxwellDirichletConditions3D(bc, t, x, y, z, nx, ny, nz, HxM, HyM, HzM, ExM, EyM, EzM, HxB, HyB, HzB, ExB, EyB, EzB) \
+  {									\
+    if(bc==1){								\
+      *(HxB) = HxM;							\
+      *(HyB) = HyM;							\
+      *(HzB) = HzM;							\
+      *(ExB) = -ExM;							\
+      *(EyB) = -EyM;							\
+      *(EzB) = -EzM;							\
+    }									\
+  }
+
+// Initial conditions
+#define maxwellInitialConditions3D(t, x, y, z, Hx, Hy, Hz, Ex, Ey, Ez)	\
+  {									\
+    dfloat n = 1., m = 2.;						\
+    const dfloat omega = M_PI*sqrt(n*n+m*m);				\
+    *(Hx) = -M_PI*n*sin(m*M_PI*x)*cos(n*M_PI*y)*sin(omega*t)/omega;	\
+    *(Hy) =  M_PI*m*cos(m*M_PI*x)*sin(n*M_PI*y)*sin(omega*t)/omega;	\
+    *(Hz) = 0;								\
+    *(Ex) = 0;								\
+    *(Ey) = 0;								\
+    *(Ez) = sin(m*M_PI*x)*sin(n*M_PI*y)*cos(omega*t);			\
+  }