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