Méthodes numériques pour les équations de Navier-Stokes instationnaires des fluides visqueux incompressibles
R. Glowinski (1981-1982)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “On the existence of the solution of Burger's equation for .”
Méthodes numériques pour les équations de Navier-Stokes instationnaires des fluides visqueux incompressibles
Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling
L. Fatone, P. Gervasio, A. Quarteroni (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.
An error estimate for finite volume methods for the Stokes equations.
Alami-Idrissi, A., Atounti, M. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity
Roger Temam, Xiaoming Wang (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Vorticity dynamics and numerical Resolution of Navier-Stokes Equations
Matania Ben-Artzi, Dalia Fishelov, Shlomo Trachtenberg (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two dimensional case. We provide numerical...