An adaptive solver for the spherical shallow water equations

被引：1

作者：

Gavete, L. ^{[1
]}

Alonso, B. ^{[1
]}

Gavete, M. L. ^{[2
]}

Urena, F. ^{[3
]}

Benito, J. J. ^{[4
]}

机构：

[1] Univ Politecn Madrid, Dept Appl Math Nat Resources, E-28040 Madrid, Spain

[2] IES Isabel La Catolica, Madrid, Spain

[3] Univ Castilla La Mancha, Dept Appl Math, E-13071 Ciudad Real, Spain

[4] Univ Nacl Educ Distancia, Dept Construct & Prod, Madrid, Spain

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2009年 / 79卷 / 12期

关键词：

Shallow water; p-Adaptive; Finite difference; Partial differential equations;

D O I：

10.1016/j.matcom.2009.04.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The shallow water equations (SWE). which describe the flow of a thin layer of fluid in two dimensions have been used by the atmospheric modelling community as a vehicle for testing promising numerical methods for solving atmospheric and oceanic problems. The SWE are important for the study of the dynamics of large-scale flows. as well for the development of new numerical schemes that are applied to more complex models. In this paper we present a finite difference p-adaptive method based oil high order finite differences that is applied using an error indicator for solving the SWE on the sphere. A standard test set is used to evaluate the accuracy of the new method. The results obtained are compared with the pseudo-spectral method. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：3466 / 3477

页数：12

共 9 条

[1] Comparison of finite difference- and pseudospectral methods for convective flow over a sphere [J].

Fornberg, B ;

Merrill, D .

GEOPHYSICAL RESEARCH LETTERS, 1997, 24 (24) :3245-3248

[2] A PSEUDOSPECTRAL APPROACH FOR POLAR AND SPHERICAL GEOMETRIES [J].

FORNBERG, B .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1995, 16 (05) :1071-1081

[3]

Fornberg B., 1998, PRACTICAL GUIDE PSEU, V1

[4]

Holton J.R., 1972, INTRO DYNAMIC METEOR, DOI DOI 10.1119/1.1987371

[5]

LUO H, 1993, SURVEY ERROR INDICAT

[6]

Swarztrauber PN, 1996, MON WEATHER REV, V124, P730, DOI 10.1175/1520-0493(1996)124<0730:STMFST>2.0.CO

[7]

[8] The spectral element method for the shallow water equations on the sphere [J].

Taylor, M ;

Tribbia, J ;

Iskandarani, M .

JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 130 (01) :92-108

[9] A STANDARD TEST SET FOR NUMERICAL APPROXIMATIONS TO THE SHALLOW-WATER EQUATIONS IN SPHERICAL GEOMETRY [J].

WILLIAMSON, DL ;

DRAKE, JB ;

HACK, JJ ;

JAKOB, R ;

SWARZTRAUBER, PN .

JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 102 (01) :211-224

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