Flux-limiting solution techniques for simulation of reaction-diffusion-convection system

DOI10.1016/j.cnsns.2005.11.005zbMath1125.76048OpenAlexW2142408604MaRDI QIDQ876084

Khalid Alhumaizi

Publication date: 16 April 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.11.005

zbMATH Keywords

MUSCL flux-limitersteep concentration profilessuperbee limiter

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Reaction effects in flows (76V05) Diffusion and convection (76R99)

Related Items (10)

Positive stationary solutions of convection-diffusion equations for superlinear sources ⋮ Convergence analysis of a fully-discrete FEM for singularly perturbed two-parameter parabolic PDE ⋮ A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations ⋮ Validation of numerical solution of diffusive part in a reaction-diffusion model ⋮ Modified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equations ⋮ Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes ⋮ Numerical solution of a fourth‐order singularly perturbed boundary value problem with discontinuities via Haar wavelets ⋮ Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection-diffusion problem on a Vulanović-Bakhvalov mesh ⋮ Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream ⋮ Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem

Uses Software

• SHASTA

Cites Work

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• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Computational Gasdynamics
• Comparisons of numerical methods with respect to convectively dominated problems
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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