Title

A Modification of the Petrov-Galerkin Method for the Transient Convection-Diffusion Equation

Document Type

Article

Publication Date

1-30-1995

Publication Title

International Journal for Numerical Methods in Engineering

Volume

38

Issue

2

First page number:

171

Last page number:

181

Abstract

A variation of the Petrov–Galerkin method of solution of a partial differential equation is presented in which the weight function applied to the time derivative term of the transient convection–diffusion equation is different from the weight function applied to the special derivatives. This allows for the formulation of fourth-order explicit and centred difference schemes. Comparison with analytic solutions show that these methods are able to capture steep wave fronts. The ability of the explicit method to capture wave fronts increases as the amount of convective transport increases.

Keywords

Convection diffusion equation; Differential equations; Partial; Differential equations; Partial--Numerical solutions; Finite element; Finite element method; Numerical method; Petrov–Galerkin; Transport equation; Transport theory

Disciplines

Civil and Environmental Engineering | Environmental Sciences | Geotechnical Engineering | Mathematics | Other Mathematics | Structural Engineering | Sustainability

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Identifier

DOI: http://dx.doi.org/10.1002/nme.1620380202

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