Variational integrator for the rotating shallow-water equations on the sphere

被引：16

作者：

Brecht, Rudiger ^{[1
]}

Bauer, Werner ^{[2
]}

Bihlo, Alexander ^{[1
]}

Gay-Balmaz, Francois ^{[3
]}

MacLachlan, Scott ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Imperial Coll London, Dept Math, London, England

[3] Ecole Normale Super, CNRS, Lab Meteorol Dynam, Paris, France

来源：

QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY | 2019年 / 145卷 / 720期

基金：

加拿大自然科学与工程研究理事会; 欧盟地平线“2020”;

关键词：

rotating shallow-water equations; structure-preserving discretization; variational integrator on sphere; POTENTIAL ENSTROPHY; NUMERICAL-INTEGRATION; DISCRETIZATION; SCHEMES; ENERGY;

D O I：

10.1002/qj.3477

中图分类号：

P4 [大气科学（气象学）];

学科分类号：

0706 ; 070601 ;

摘要：

We develop a variational integrator for the shallow-water equations on a rotating sphere. The variational integrator is built around a discretization of the continuous Euler-Poincare reduction framework for Eulerian hydrodynamics. We describe the discretization of the continuous Euler-Poincare equations on arbitrary simplicial meshes. Standard numerical tests are carried out to verify the accuracy and excellent conservational properties of the discrete variational integrator.

引用

页码：1070 / 1088

页数：19

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