Numerical approximation of the inviscid 3D primitive equations in a limited domain

DOI10.1051/m2an/2011058zbMath1308.76197arXiv1011.4704OpenAlexW2964111458MaRDI QIDQ2842480

Qingshan Chen, Ming-Cheng Shiue, Roger M. Temam, Joseph J. Tribbia

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4704

zbMATH Keywords

boundary conditionstransparent boundary conditionsfinite difference methodslimited domainsnonviscous primitive equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (11)

Multilevel finite volume methods and boundary conditions for geophysical flows ⋮ The 2d nonlinear fully hyperbolic inviscid shallow water equations in a rectangle ⋮ Numerical simulations of the humid atmosphere above a mountain ⋮ Analysis of a penalty method ⋮ Unnamed Item ⋮ The barotropic mode for the primitive equations ⋮ Higher-order error estimates for physics-informed neural networks approximating the primitive equations ⋮ Finite volume multilevel approximation of the shallow water equations ⋮ A higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domain ⋮ The Euler equations in planar nonsmooth convex domains ⋮ Goal-oriented a posteriori error estimation for finite volume methods

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