Flux-limiting solution techniques for simulation of reaction–diffusion–convection system
نویسنده
چکیده
The aim of this work is to analyze the use of a number of flux-limiters to simulate numerically the behavior of a homogeneous tubular reactor which exhibits steep moving fronts. The strength and limitations of five different flux-limiters are examined for different test cases. All flux-limiters are found successful in capturing the steep concentration profiles. The simulations show that the minmod and MUSCL flux-limiter are more appropriate for the convection–diffusion case. On the other hand, the superbee limiter shows the best performance in capturing discontinuities in the convection–diffusion–reaction case. 2005 Elsevier B.V. All rights reserved. PACS: 02.30.Jr; 02.60.Cb; 02.70.Bf
منابع مشابه
The conservation law is a parabolic reaction-convection-diffusion equation with a small parameter multiplying the diffusion term and convex flux. Rigorous upper and lower bounding functions for the solution of the conservation law
The size of the shock-layer governed by a conservation law is studied. The conservation law is a parabolic reaction-convection-diffusion equation with a small parameter multiplying the diffusion term and convex flux. Rigorous upper and lower bounding functions for the solution of the conservation law are established based on maximum-principle arguments. The bounding functions demonstrate that t...
متن کاملFinite Element Methods for Convection Diffusion Equation
This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملA three-dimensional mathematical model for drug delivery from drug-eluting stents
Current drug-eluting stent (DES) technology is not optimized with regard to the pharmacokinetics of drug release, more research on the drug-eluting stent design and flux of drug release to the arterial wall is necessary. Considering a three-dimensional (3D) cylindrical mathematical model, a novel free drug mass transfer release has been formulated and applied for better estimation of the drug c...
متن کاملA Filtering technique for System of Reaction Diffusion equations
We present here a fast parallel solver designed for a system of reaction convection diffusion equations. Typical applications are large scale computing of air quality models or numerical simulation of population models where several colonies compete. Reaction-Diffusion systems can be integrated in time by point-wise Newton iteration when all space dependent terms are explicit in the time integr...
متن کاملOn the localized wave patterns supported by convection–reaction–diffusion equation
A set of traveling wave solution to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation. It is shown the existence of compactly supported solutions as well as solitary waves within this family for wide range of parameter values. PACS codes: 02.30.Jr; 47.50.Cd; 83.10.Gr
متن کامل