Variational discretization for rotating stratified fluids
نویسندگان
چکیده
منابع مشابه
Variational Discretization for Rotating Stratified Fluids
In this paper we develop and test a structure-preserving discretization scheme for rotating and/or stratified fluid dynamics. The numerical scheme is based on a finite dimensional approximation of the group of volume preserving diffeomorphisms recently proposed in [25, 9] and is derived via a discrete version of the Euler-Poincaré variational formulation of rotating stratified fluids. The resul...
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We study the local stability of stratified, differentially-rotating fluids to axisymmetric perturbations in the presence of a weak magnetic field and of finite resistivity, viscosity and heat conductivity. This is a generalization of the Goldreich-Schubert-Fricke (GSF) double-diffusive analysis to the magnetized and resistive, triple-diffusive case. Our fifth-order dispersion relation admits a ...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2013
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.477