Solution of convection--diffusion problems with nonequilibrium adsorption

DOI10.1016/J.CAM.2003.11.005zbMath1052.65077OpenAlexW1979062640MaRDI QIDQ1877199

M. Remešíková

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.11.005

zbMATH Keywords

convergencefinite volume methodnumerical experimentsContaminant transportoperator splitting approachConvection-diffusion problemNonlinear sorption

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Ecology (92D40)

Related Items (6)

Numerical simulation of chemical separations using multimodal adsorption isotherms ⋮ Numerical solution of two-dimensional convection-diffusion-adsorption problems using an operator splitting scheme ⋮ Analysis of a fully implicit SUPG scheme for a filtration and separation model ⋮ Canonical Euler splitting method for nonlinear composite stiff evolution equations ⋮ Parameter estimation in convection dominated nonlinear convection-diffusion problems by the relaxation method and the adjoint equation ⋮ Solution of contaminant transport with equilibrium and non-equilibrium adsorption

Cites Work

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• The method of fractional steps for conservation laws
• Solution of contaminant transport with adsorption in porous media by the method of characteristics
• An unconditionally stable splitting scheme for a class of nonlinear parabolic equations
• Discontinuous solutions of non-linear differential equations
• Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation

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