Meshfree methods for nonhomogeneous Brinkman flows

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Abstract

We present a meshfree method for the numerical solution of non homogeneous Brinkman systems with Dirichlet and traction boundary conditions. The aim of the paper is to propose a representation for the fluid flow as a linear superposition of unsteady Stokeslets and elastodynamic P and S waves. A theoretically study for the proposed choice of basis functions is given and several numerical examples are presented in order to illustrate and discuss the feasibility of the method.
Original languageUnknown
Pages (from-to)872-886
JournalComputers and Mathematics with Applications
Volume68
Issue number8
DOIs
Publication statusPublished - 1 Jan 2014

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