Discretization methods with embedded analytical solutions for convection-diffusion dispersion-reaction equations and applications

DOI10.1007/s10665-006-9057-yzbMath1148.65067OpenAlexW2043600971MaRDI QIDQ873168

Jürgen Geiser

Publication date: 28 March 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-006-9057-y

zbMATH Keywords

Convection-diffusion dispersion-reaction equationEmbedded analytical solutionsFinite-volume methodsMulti-physicsSimulation of radio-active-waste disposals

Mathematics Subject Classification ID

Related Items (10)

Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique ⋮ Mobile and immobile gaseous transport: Embedded analytical solutions to finite volume methods ⋮ Spatially-dependent and nonlinear fluid transport: coupling framework ⋮ Embedded Zassenhaus expansion to splitting schemes: theory and multiphysics applications ⋮ Modeling and simulation of a chemical vapor deposition ⋮ Discretization methods with analytical solutions for a convection–reaction equation with higher-order discretizations ⋮ Multiscale modelling of solute transport through porous media using homogenization and splitting methods ⋮ Mobile and immobile fluid transport: Coupling framework ⋮ Consistency of iterative operator-splitting methods: Theory and applications ⋮ Adaptive step-size control in simulation of diffusive CVD processes

Uses Software

• Diffpack
• UG
• GRAPE

Cites Work

• Introduction to modeling of transport phenomena in porous media
• Flux-based method of characteristics for contaminant transport in flowing groundwater
• Finite Volume Methods for Hyperbolic Problems
• On the Construction and Comparison of Difference Schemes
• UG -- a flexible software toolbox for solving partial differential equations
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