An operator splitting algorithm for coupled one-dimensional advection-diffusion-reaction equations

DOI10.1016/0045-7825(95)00839-5zbMath0862.76060OpenAlexW2071403173MaRDI QIDQ2564581

Philip L.-F. Liu, Liaqat Ali Khan

Publication date: 4 June 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00839-5

zbMATH Keywords

stabilityconvergenceboundary conditionsfinite-element methodDuhamel's principleexplicit Runge-Kutta methodbackward method of characteristicsStrang type proceduretransport of non-conservative pollutants

Mathematics Subject Classification ID

Related Items (7)

Analysis of the self-consistent IMEX method for tightly coupled non-linear systems ⋮ A second order self-consistent IMEX method for radiation hydrodynamics ⋮ Modeling low Mach number reacting flow with detailed chemistry and transport ⋮ Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions ⋮ An operator splitting algorithm for the three-dimensional advection-diffusion equation ⋮ A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation ⋮ Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analysis of the fractional step method
• A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity
• A higher order numerical scheme for scalar transport
• Particle-grid methods for reacting flows in porous media with application to Fisher's equation
• A higher-order eulerian scheme for coupled advection-diffusion transport
• Investigation of use of reach-back characteristics method for 2D dispersion equation
• On Shape-Preserving Interpolation and Semi-Lagrangian Transport
• Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
• Intermediate Boundary Conditions for Time-Split Methods Applied to Hyperbolic Partial Differential Equations
• On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations
• An operator‐splitting algorithm for two‐dimensional convection–dispersion–reaction problems
• On the Construction and Comparison of Difference Schemes
• Intermediate boundary corrections for split operator methods in three dimensions
• Boundary Techniques for the Multistep Formulation of the Optimized Lax-Wendroff Method for Non-linear Hyperbolic Systems in Two Space Dimensions

This page was built for publication: An operator splitting algorithm for coupled one-dimensional advection-diffusion-reaction equations