A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle

This paper discusses the numerical solution of the incompressible viscous flow by the fictitious domain method with distributed Lagrange multiplier. For the analysis of the finite element method, the mixed interpolation based on the bubble function is presented. The way to use the fictitious domain...

Full description

Bibliographic Details
Main Authors: Takuya Muroi, Mutsuto Kawahara
Format: Article
Language:English
Published: SAGE Publishing 2009-03-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/174830109787186613
id doaj-1e6f2f073c7c421d8ecc02714b8c5be7
record_format Article
spelling doaj-1e6f2f073c7c421d8ecc02714b8c5be72020-11-25T03:22:13ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30181748-30262009-03-01310.1260/174830109787186613A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving ParticleTakuya MuroiMutsuto Kawahara0 Department of Civil Engineering, Chuo University, Kasuga 1-13-27, Bunkyou-ku, Tokyo 112-8511, JapanThis paper discusses the numerical solution of the incompressible viscous flow by the fictitious domain method with distributed Lagrange multiplier. For the analysis of the finite element method, the mixed interpolation based on the bubble function is presented. The way to use the fictitious domain method applied to the Navier-Stokes equation is explained. The incompressible viscous flow with two falling solid particles is presented. Advantage of the fictitious domain method based on distributed Lagrange multiplier is investigated.https://doi.org/10.1260/174830109787186613
collection DOAJ
language English
format Article
sources DOAJ
author Takuya Muroi
Mutsuto Kawahara
spellingShingle Takuya Muroi
Mutsuto Kawahara
A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle
Journal of Algorithms & Computational Technology
author_facet Takuya Muroi
Mutsuto Kawahara
author_sort Takuya Muroi
title A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle
title_short A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle
title_full A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle
title_fullStr A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle
title_full_unstemmed A Fictitious Domain Method with the Distributed Lagrange Multiplier for Incompressible Viscous Flow around Moving Particle
title_sort fictitious domain method with the distributed lagrange multiplier for incompressible viscous flow around moving particle
publisher SAGE Publishing
series Journal of Algorithms & Computational Technology
issn 1748-3018
1748-3026
publishDate 2009-03-01
description This paper discusses the numerical solution of the incompressible viscous flow by the fictitious domain method with distributed Lagrange multiplier. For the analysis of the finite element method, the mixed interpolation based on the bubble function is presented. The way to use the fictitious domain method applied to the Navier-Stokes equation is explained. The incompressible viscous flow with two falling solid particles is presented. Advantage of the fictitious domain method based on distributed Lagrange multiplier is investigated.
url https://doi.org/10.1260/174830109787186613
work_keys_str_mv AT takuyamuroi afictitiousdomainmethodwiththedistributedlagrangemultiplierforincompressibleviscousflowaroundmovingparticle
AT mutsutokawahara afictitiousdomainmethodwiththedistributedlagrangemultiplierforincompressibleviscousflowaroundmovingparticle
AT takuyamuroi fictitiousdomainmethodwiththedistributedlagrangemultiplierforincompressibleviscousflowaroundmovingparticle
AT mutsutokawahara fictitiousdomainmethodwiththedistributedlagrangemultiplierforincompressibleviscousflowaroundmovingparticle
_version_ 1724610577481859072