Vater, S. and Klein, R. (2017) A SemiImplicit Multiscale Scheme for Shallow Water Flows at Low Froude Number. Communications in Applied Mathematics & Computational Science . pp. 127. ISSN 15593940 (Submitted)

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Abstract
A new large time step semiimplicit multiscale method is presented for the solution of low Froudenumber shallow water flows. While on small scales which are underresolved in time the impact of source terms on the divergence of the flow is essentially balanced, on large resolved scales the scheme propagates free gravity waves with minimized diffusion. The scheme features a scale decomposition based on multigrid ideas. Two different time integrators are blended at each scale depending on the scaledependent Courant number for gravity wave propagation. The finitevolume discretization is based on a Cartesian grid and is second order accurate. The basic properties of the method are validated by numerical tests. This development is a further step in the development of asymptotically adaptive numerical methods for the computation of large scale atmospheric flows.
Item Type:  Article 

Additional Information:  SFB 1114 Preprint: 12/2017 
Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group 
ID Code:  2141 
Deposited By:  Silvia Hoemke 
Deposited On:  04 Dec 2017 15:02 
Last Modified:  04 Dec 2017 15:02 
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