Multirate timestepping methods for hyperbolic conservation laws

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TR Number

TR-06-15

Date

2006

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Journal ISSN

Volume Title

Publisher

Department of Computer Science, Virginia Polytechnic Institute & State University

Abstract

This paper constructs multirate time discretizations for hyperbolic conservation laws that allow different time-steps to be used in different parts of the spatial domain. The discretization is second order accurate in time and preserves the conservation and stability properties under local CFL conditions. Multirate timestepping avoids the necessity to take small global time-steps (restricted by the largest value of the Courant number on the grid) and therefore results in more efficient algorithms.

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Keywords

Numerical analysis

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