Convergence of a Lagrangian scheme for a compressible Navier-Stokes model defined on a domain depending on time
type: Item
instance of: scholarly article
title: Convergence of a Lagrangian scheme for a compressible Navier-Stokes model defined on a domain depending on time
zbMATH Open document ID: 1072.76050
author: Fabien Flori
author: Christian Morelli
author: Pierre Orenga
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-05-04T00:00:00Z
review text: This paper deals with the numerical resolution of the Navier-Stokes equations defined on a time dependent domain. The authors obtain an existence result for a fluid-structure interaction problem in which the boundary is governed by a thin plate operator. To solve this equation the method of characteristics is used. They approach the total derivative by a ``regularized'' finite difference scheme and study the convergence of the discrete problem.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N17
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 2165057
zbMATH Keywords: compressible Navier-Stokes equation
zbMATH Keywords: Lagrangian scheme
zbMATH Keywords: convergence
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: j.na.2005.01.039
OpenAlex ID: W2027111049
cites work: Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
cites work: Finite elements and characteristics for some parabolic-hyperbolic problems
cites work: Ordinary differential equations, transport theory and Sobolev spaces
cites work: Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction
cites work: Q4409401
cites work: On a nonlinear fluid-structure interaction problem defined on a domain depending on time
cites work: Fluid-structure interaction: Analysis of a 3-D compressible model
cites work: Analyse et méthodes numériques pour la simulation de phénomènes d'interaction fluide-structure
cites work: Q4389323
cites work: Existence theorem for the solution of a shallow water problem
cites work: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
cites work: Q4010566
cites work: Computational vascular fluid dynamics: problems, models and methods
cites work: Q3835219
DOI: 10.1016/J.NA.2005.01.039
description: scientific article; zbMATH DE number 2165057