Extension of the complete flux scheme to systems of conservation laws

DOI10.1007/s10915-012-9588-5zbMath1259.65134OpenAlexW2124741324MaRDI QIDQ1936299

K. S. C. Peerenboom, J. van Dijk, Lei Liu, Jan H. M. ten Thije Boonkkamp

Publication date: 4 February 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-012-9588-5

zbMATH Keywords

finite volume methodnumerical examplessemidiscretizationmatrix functionsnumerical fluxGreen's matrixadvection-diffusion-reaction systemsflux (vector)integral representation of the fluxPeclet matrix

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

Multicomponent transport in plasmas; exploiting stoichiometry ⋮ Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations ⋮ Mass conservative finite volume discretization of the continuity equations in multi-component mixtures

Uses Software

• HE-E1GODF
• mftoolbox

Cites Work

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• Mass conservative finite volume discretization of the continuity equations in multi-component mixtures
• The finite volume-complete flux scheme for advection-diffusion-reaction equations
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Convergent iterative methods for multicomponent diffusion
• Discretization of the stationary convection-diffusion-reaction equation
• Multicomponent Transport Algorithms
• MODELLING AND ANALYSIS OF THE ELECTRIC FIELD FOR A CANONICAL PROBLEM IN EDM
• Functions of Matrices
• A Compact High Order Finite Volume Scheme for Advection-Diffusion-Reaction Equations

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