Effective Domain Decomposition Meshless
Formulation Of Fully-viscous Incompressible
Fluid Flows
Author(s)
E. Divo & A. Kassab
Abstract
An effective and efficient domain decomposition meshless solution methodology
for fully-viscous incompressible fluid flow problems is presented in this paper.
The formulation is based on a time-progression decoupling of the equations using
a Helmholtz potential. The domain decomposition approach reduces the conditioning
numbers of the resulting algebraic systems while increasing efficiency of
the solution process and decreasing memory requirements, in addition to rendering
the method ideally suited for parallel implementation. Numerical examples are
presented to validate the approach by comparing the meshless solutions to Finite
Volume Method (FVM) solutions provided by a commercial CFD solver.
1 Introduction
Despite their effectiveness in solving fluid problems, classical numerical methods
such as finite element methods (FEM) and finite volume methods (FVM) require
significant effort for mesh generation. In fact, for most computational fluid dynamics
(CFD) models of geometrically complex components encountered routinely in
engineering analysis, mesh generation is the most time-consuming and least automated
part of the model and analysis.Meshless methods, a class of numerical techniques
that rely on global interpolation on non-ordered spatial point distributions,
offer the hope of eliminating this major stumbling block.
Keywords
Related Book
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