Analysis And Simulation of Fluid Dynamics

by Calgaro, Caterina; Coulombel, Jean-francois; Goudon, Thierry

• ISBN13: 9783764377410
• ISBN10: 3764377410
• Format: Paperback
• Copyright: 2007-02-03
• Publisher: Birkhauser

Summary

This volume collects the contributions of a conference held in June 2005, at the laboratoire Paul Painlevè (UMR CNRS 8524) in Lille, France. The meeting was intended to review hot topics and future trends in fluid dynamics, with the objective to foster exchanges of theoretical and numerical viewpoints. The content of the volume can be split into three categories: A first set of contributions is devoted to the description of the connection between different models of fluid dynamics. An important part of these papers relies on the discussion of the modeling issues, the identification of the relevant dimensionless coefficients, and on the physical interpretation of the models. A second set of contributions considers the question of the stability of particular structures in fluid mechanics equations. The third set of contributions is concerned with numerical issues; it is indeed a crucial challenge to design numerical schemes that are able to capture the complex features generated by fluid flows.

Table of Contents

Foreword	p. vii
Some Recent Asymptotic Results in Fluid Mechanics	p. 1
Recent Mathematical Results and Open Problems about Shallow Water Equations	p. 15
Direct Numerical Simulation and Analysis of 2D Turbulent Flows	p. 33
Domain Decomposition Algorithms for the Compressible Euler Equations	p. 69
The Two-Jacobian Scheme for Systems of Conservation Laws	p. 89
Do Navier-Stokes Equations Enable to Predict Contact Between Immersed Solid Particles?	p. 109
The Reduced Basis Element Method for Fluid Flows	p. 129
Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity	p. 155
Numerical Simulations of the Inviscid Primitive Equations in a Limited Domain	p. 163
Some Recent Results about the Sixth Problem of Hilbert	p. 183
On Compressible and Incompressible Vortex Sheets	p. 201
Existence and Stability of Compressible and Incompressible Current-Vortex Sheets	p. 229
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