A higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domain
type: Item
instance of: scholarly article
title: A higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domain
zbMATH Open document ID: 1303.65073
author: Arthur Bousquet
author: Gung-Min Gie
author: Youngjoon Hong
author: Jacques Laminie
published in: Numerische Mathematik
publication date: 2014-11-14T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 86A10
Mathematics Subject Classification ID: 76B70
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 6369519
zbMATH Keywords: atmospheric physics
zbMATH Keywords: numerical examples
zbMATH Keywords: finite volume
zbMATH Keywords: inviscid primitive equations
zbMATH Keywords: upwind scheme
zbMATH Keywords: central-upwind scheme
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: mesh refinement
MaRDI profile type: Publication
full work available at URL: s00211-014-0622-4
OpenAlex ID: W2038092931
cites work: Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
cites work: A 2.5D MODEL FOR THE EQUATIONS OF THE OCEAN AND THE ATMOSPHERE
cites work: The barotropic mode for the primitive equations
cites work: Simulations of the 2.5D inviscid primitive equations in a limited domain
cites work: Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity
cites work: Numerical Simulations of the Inviscid Primitive Equations in a Limited Domain
cites work: The 3D primitive equations in the absence of viscosity: boundary conditions and well-posedness in the linearized case
cites work: Non-oscillatory central differencing for hyperbolic conservation laws
cites work: Numerical approximation of the inviscid 3D primitive equations in a limited domain
cites work: The atmospheric equation of water vapor with saturation
cites work: New formulations of the primitive equations of atmosphere and applications
cites work: Handbook of numerical analysis. Vol XIV. Special volume: Computational methods for the atmosphere and the oceans.
cites work: Finite Volume Methods for Hyperbolic Problems
cites work: Central-Upwind Schemes for the Saint-Venant System
cites work: Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
cites work: Central-Upwind Schemes for Two-Layer Shallow Water Equations
cites work: Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
cites work: New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
cites work: A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries
cites work: Q5456898
cites work: Q5862240
DOI: 10.1007/S00211-014-0622-4
Recommended article: Finite-volume schemes for Friedrichs systems with involutions
Recommended article: Q3154571
Recommended article: On the higher-order bounded discretization schemes for finite volume computations of incompressible flows
Recommended article: A high order finite volume element method for solving elliptic partial integro-differential equations
Recommended article: On the numerical solution of involutive ordinary differential systems: Higher order methods
Recommended article: A high-order hybrid finite difference-finite volume approach with application to inviscid compressible flow problems: a preliminary study
Recommended article: Higher-order finite volume methods for elliptic boundary value problems
Recommended article: A higher-order compact finite difference algorithm for solving the incompressible Navier-Stokes equations
Recommended article: A construction of higher-order finite volume methods
Recommended article: Q4789624
description: scientific article; zbMATH DE number 6369519