A multistep finite volume method with penalty for thermal convection problems in two or three dimensions

DOI10.1007/S11424-008-9072-3zbMath1173.76368OpenAlexW2138894107MaRDI QIDQ1031973

Min Yang

Publication date: 23 October 2009

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-008-9072-3

zbMATH Keywords

unstructured mesheserror estimatefinite volumethermal convection problem

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids

Cites Work

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• A finite volume element method for thermal convection problems
• A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• Discrete Sobolev inequalities andL^perror estimates for finite volume solutions of convection diffusion equations
• On a stabilized colocated Finite Volume scheme for the Stokes problem
• Some Error Estimates for the Box Method
• Thermal convection analysis in a rotating shell by a parallel finite‐element method—development of a thermal‐hydraulic subsystem of GeoFEM

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