Parallel Domain Decomposition Meshless
Modeling Of Dilute Convection-diffusion Of
Species
Author(s)
E. Divo, A. Kassab & Z. El Zahab
Abstract
A meshless formulation and computational modeling of non-reacting dilute
species transport is presented in this paper. Two species are considered for the
problems in the example section: methane (CH4) and air. A parallel domain
decomposition meshless method based on Multiquadric RBF collocation is developed
herein. This approach reduces conditioning numbers of the resulting coeffi-
cient matrices while accelerating the solution process and reducing the memory
requirements. Numerical examples are presented to validate the approach by comparing
the meshless solutions to CFD-FVM solutions provided by the commercial
package, Fluent 6.1.
1 Introduction
The underlying algorithms of classical numerical methods such as finite element
methods (FEM) and finite volume methods (FVM) have matured and afford the
analyst the ability to routinely and accurately analyze a wide range of complex
phenomena. However, the most commonly used methods require domain meshing
due to the fact that rely on locally-supported polynomial expansions for the
unknown field variables. Mesh generation is far from automated and in particular
in computational fluid dynamics (CFD) applications require a large amount of
effort and human interaction to generate meshes of sufficient quality to produce
acceptable results.
Keywords
Related Book
Other papers in this volume
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