Advection-dispersion simulation by minimization characteristics and alternate direction-explicit methods

DOI10.1016/S0307-904X(09)81007-XzbMath0833.65105MaRDI QIDQ1903283

Yanyan Li

Publication date: 14 March 1996

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

stabilityerror boundsmethod of characteristicsfinite difference schemesadvection-dispersion equationleast squares approximationalternate direction-explicit methodsminimization characteristics methodsplit operator scheme

Mathematics Subject Classification ID

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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

Unnamed Item ⋮ Simulating advective-dispersive transport in groundwater: an accurate finite difference model. ⋮ Modeling advective-dispersive transport with reaction: An accurate explicit finite difference model ⋮ On Galerkin models for transport in groundwater ⋮ Solution of the advection-diffusion equation using the Eulerian-Lagrangian boundary element method

Uses Software

• SHASTA

Cites Work

• Unnamed Item
• Unnamed Item
• A Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Finite elements and characteristics applied to advection-diffusion equations
• A Taylor-Galerkin method for convective transport problems
• Least-squares characteristics and finite elements for advection-dispersion simulation
• An assessment of flow oriented schemes for reducing ‘false diffusion’
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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