Numerical solution of nonlinear wave equations in stratified dispersive media

Authors:
Ch. Karle;J. Schweitzer;M. Hochbruck;E. W. Laedke;K. H. Spatschek
Affiliations:
Institut für Theoretische Physik, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany;Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany;Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany;Institut für Theoretische Physik, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany;Institut für Theoretische Physik, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany
Venue:
Journal of Computational Physics
Year:
2006

Citing 2
Cited 1

Computer simulation using particles

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Long-Time-Step Methods for Oscillatory Differential Equations

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A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems

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Abstract

Nonlinear wave motion in dispersive media is solvecl numerically. The model applies to laser propagation in a relativistic plasma. The latter causes, besides dispersion, nonlinear effects due to relativistic mass variation in the presence of strong laser pulses. A new variant of the Gautschi-type integrator for reducing the number of time steps is proposed as a fast solver for such nonlinear wave-equations. In order to reduce the number of spatial grid points, a physically motivated quasi-envelope approach (QEA) is introduced. The new method turns out to reduce the computational time significantly compared to the standard leap-frog scheme.