Multiwavelet Discontinuous Galerkin-Accelerated Exact Linear Part (ELP) Method for the Shallow-Water Equations on the Cubed Sphere

Autor:	John B. Drake, Rick Archibald, Katherine J. Evans, James B White Iii
Rok vydání:	2011
Předmět:	Atmospheric Science Wavelet Discontinuous Galerkin method Numerical analysis Mathematical analysis Time evolution Galerkin method Shallow water equations Cubed sphere Finite element method Mathematics
Zdroj:	Monthly Weather Review. 139:457-473
ISSN:	1520-0493 0027-0644
DOI:	10.1175/2010mwr3271.1
Popis:	In this paper a new approach is presented to increase the time-step size for an explicit discontinuous Galerkin numerical method. The attributes of this approach are demonstrated on standard tests for the shallow-water equations on the sphere. The addition of multiwavelets to the discontinuous Galerkin method, which has the benefit of being scalable, flexible, and conservative, provides a hierarchical scale structure that can be exploited to improve computational efficiency in both the spatial and temporal dimensions. This paper explains how combining a multiwavelet discontinuous Galerkin method with exact-linear-part time evolution schemes, which can remain stable for implicit-sized time steps, can help increase the time-step size for shallow-water equations on the sphere.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::812ee0da63ef7f1c3627017f1c100a2d https://doi.org/10.1175/2010mwr3271.1 Zobrazit plný text záznamu Plný text ve formátu PDF