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Evaluation of three spatial discretization schemes with the Galewsky et al. test

  • We evaluate the Hamiltonian particle methods (HPM) and the Nambu discretization applied to shallow-water equations on the sphere using the test suggested by Galewsky et al. (2004). Both simulations show excellent conservation of energy and are stable in long-term simulation. We repeat the test also using the ICOSWP scheme to compare with the two conservative spatial discretization schemes. The HPM simulation captures the main features of the reference solution, but wave 5 pattern is dominant in the simulations applied on the ICON grid with relatively low spatial resolutions. Nevertheless, agreement in statistics between the three schemes indicates their qualitatively similar behaviors in the long-term integration.

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Author:Seoleun Shin, Matthias Sommer, Sebastian ReichORCiD, Peter Névir
Document Type:Article
Year of first Publication:2010
Year of Completion:2010
Release Date:2017/03/24
Source:Atmospheric science letters. - ISSN 1530-261X. - 11 (2010), 3, S. 223 - 228
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert