Meshfree methods for nonhomogeneous Brinkman flows

Nuno Filipe Marcelino Martins; Magda Stela de Jesus Rebelo

doi:10.1016/j.camwa.2014.08.002

Meshfree methods for nonhomogeneous Brinkman flows

Nuno Filipe Marcelino Martins, Magda Stela de Jesus Rebelo

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

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 language	Unknown
Pages (from-to)	872-886
Journal	Computers and Mathematics with Applications
Volume	68
Issue number	8
DOIs	https://doi.org/10.1016/j.camwa.2014.08.002
Publication status	Published - 1 Jan 2014

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10.1016/j.camwa.2014.08.002

Cite this

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title = "Meshfree methods for nonhomogeneous Brinkman flows",

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.",

keywords = "P and S waves, non homogeneous Brinkman systems, meshfree methods, unsteady Stokeslets",

author = "Martins, {Nuno Filipe Marcelino} and Rebelo, {Magda Stela de Jesus}",

year = "2014",

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day = "1",

doi = "10.1016/j.camwa.2014.08.002",

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journal = "Computers and Mathematics with Applications",

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T1 - Meshfree methods for nonhomogeneous Brinkman flows

AU - Martins, Nuno Filipe Marcelino

AU - Rebelo, Magda Stela de Jesus

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

KW - P and S waves

KW - non homogeneous Brinkman systems

KW - meshfree methods

KW - unsteady Stokeslets

U2 - 10.1016/j.camwa.2014.08.002

DO - 10.1016/j.camwa.2014.08.002

M3 - Article

SN - 0898-1221

VL - 68

SP - 872

EP - 886

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 8

ER -