Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwell's equations

Authors:
L. D. Angulo;J. Alvarez;F. L. Teixeira;M. F. Pantoja;S. G. Garcia
Affiliations:
Department of Electromagnetism and Matter Physics, University of Granada, Granada 18071, Spain;Cassidian, EADS-CASA, Getafe 28906, Spain;ElectroScience Laboratory and the Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43212, USA;Department of Electromagnetism and Matter Physics, University of Granada, Granada 18071, Spain;Department of Electromagnetism and Matter Physics, University of Granada, Granada 18071, Spain
Venue:
Journal of Computational Physics
Year:
2014

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Abstract

We introduce a novel local time-stepping technique for marching-in-time algorithms. The technique is denoted as Causal-Path Local Time-Stepping (CPLTS) and it is applied for two time integration techniques: fourth-order low-storage explicit Runge-Kutta (LSERK4) and second-order Leap-Frog (LF2). The CPLTS method is applied to evolve Maxwell@?s curl equations using a Discontinuous Galerkin (DG) scheme for the spatial discretization. Numerical results for LF2 and LSERK4 are compared with analytical solutions and the Montseny@?s LF2 technique. The results show that the CPLTS technique improves the dispersive and dissipative properties of LF2-LTS scheme.