✦ LIBER ✦

Discretization of the stationary convection-diffusion-reaction equation

✍ Scribed by B. van't Hof; J. H. M. ten Thije Boonkkamp; R. M. M. Mattheij

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 438 KB
Volume: 14
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199809)14:5<607::aid-num5>3.0.co;2-m

No coin nor oath required. For personal study only.

✦ Synopsis

A finite volume method for the convection-diffusion-reaction equation is presented, which is a model equation in combustion theory. This method is combined with an exponential scheme for the computation of the fluxes. We prove that the numerical fluxes are second-order accurate, uniformly in the local Peclet numbers.

📜 SIMILAR VOLUMES

Modified age methods for the convection-

Modified age methods for the convection-diffusion equation

✍ Jinfu, Lu ;Baolin, Zhang ;Fengli, Zuo 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 2 views

Some modi®ed AGE methods for the convection±diusion equation are developed in this paper. Firstly, there is a treatment on the convection term in the equation which is dierent from that in the AGE method by Evans and Abdullah (1985). Secondly, upwind-type schemes are used for the convection dominate

Diffusion-convection-reaction in multico

Diffusion-convection-reaction in multicomponent mixtures

✍ Vincenzo Guida; Raffaella Ocone; Gianni Astarita 📂 Article 📅 1994 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 329 KB 👁 2 views

Monotone iterations for numerical soluti

Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay

✍ C. V. Pao 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 375 KB 👁 2 views

In this article we use the monotone method for the computation of numerical solutions of a nonlinear reactiondiffusion-convection problem with time delay. Three monotone iteration processes for a suitably formulated finite-difference system of the problem are presented. It is shown that the sequence

On the convergence of basic iterative me

On the convergence of basic iterative methods for convection–diffusion equations

✍ Jürgen Bey; Arnold Reusken 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 2 views

In this paper we analyze convergence of basic iterative Jacobi and Gauss-Seidel type methods for solving linear systems which result from finite element or finite volume discretization of convection-diffusion equations on unstructured meshes. In general the resulting stiffness matrices are neither M

Discretization procedure for the breakag

Discretization procedure for the breakage equation

✍ Marco Vanni 📂 Article 📅 1999 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 56 KB

Travelling Wavefronts in Reaction-Diffus

Travelling Wavefronts in Reaction-Diffusion Equations with Convection Effects and Non-Regular Terms

✍ Luisa Malaguti; Cristina Marcelli 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB

This paper deals with the appearance of monotone bounded travelling wave solutions for a parabolic reaction-diffusion equation which frequently meets both in chemical and biological systems. In particular, we prove the existence of monotone front type solutions for any wave speed c ≥ c \* and give a