A Galerkin Method for the Convection—Diffusion Equation Using Asymmetric Weighting Functions

by James A. Cardle, Univ of Nevada, Las Vegas, Las Vegas, United States,

Document Type: Proceeding Paper

Part of: High Level Radioactive Waste Management 1993


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 a one-dimensional convection-diffusion equation is different from the weight function applied to the spatial derivatives. Although the no damping case is the most accurate, spurious oscillations can result in the presence of steep fronts in strongly convective flows. If damping is added, the approach described in this paper allows for different damping components α and β respectively on the time derivative and convective terms which has advantages over the usual Petrov-Gelerkin technique.

Subject Headings: Damping | Asymmetry | Diffusion | Hydrologic models | Groundwater flow | Heat flow | Finite element method | Equations of motion

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