TVD-based Finite Volume Methods for Sound-Advection-Buyancy Systems |
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| Authors: | Oswald Knoth Andreas Naumann Jörg Wensch |
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| Institution: | 1. Leibniz Institute for Tropospheric Research, Leipzig;2. Technical University Dresden, Institute of Scientific Computing |
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| Abstract: | Split-explicit Runge-Kutta methods provide an efficient integration procedure for hyperbolic systems with coupled slow and fast wave phenomena. They are generalized to multirate infinitesimal step methods (MIS) in order to develop an order to provide order conditions and to establish stability properties. The construction of MIS methods is based on an underlying Runge-Kutta method. This method is choosen to be total variation diminishing (TVD) to improve the stability properties of the method. Here, the maximum Courant number is improved by a factor of 4. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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