Pseudo-spectral/finite difference adaptive method for the spherical shallow water equations (SI-CMMSE 2006)

Luis Gavete (1) , Beatriz Alonso (1) , Francisco Ureña (2) , Juan J Benito (3) , Julian Herranz (1)

1 Applied Mathematics in Natural Resources
2 Matemática Aplicada
3 Ingeniería de Construcción y Fabricación

The shallow water equations (SWE), describing a thin layer of fluid flow (liquid or gas) in two dimensions, is the simplest possible model that captures the essential characteristics of fluid flow on the sphere. In this paper we present a p-adaptive method based in higher order finite differences and pseudo-spectral derivatives that is applied in the solution of shallow water equations on the sphere. The numerical experiments confirm the expected high-order accuracy.

Mots clés: Physical Sciences

Luis Gavete, Beatriz Alonso, Francisco Ureña, Juan J Benito, Julian Herranz. Pseudo-spectral/finite difference adaptive method for the spherical shallow water equations (SI-CMMSE 2006). International Journal of Computer Mathematics, 2008, 85 (03-04), pp.461-473. ⟨10.1080/00207160701242318⟩. ⟨hal-00545351⟩