Mathematical Models of Fluiddynamics

Modelling, Theory, Basic Numerical Facts - An Introduction

Rainer Ansorge

188 pages, parution le 20/01/2003

Ajouter à une liste

Indisponible

Résumé

The author introduces the reader to mathematical modeling, theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behavior of the dynamics of physical flow. Both students and experts intending to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from the combination of all relevant aspects in one handy volume.

From the contents:

Euler equations fo inviscid flows
Potential flows
Buoyancy formulas
Sound propagation
Basic mathematical theory of conservations laws
Rough continuum model of one-way traffic flow
Entropy concepts
Navier-Stokes equation of viscid flows
Poiseuille flow
Boundary layer equations
Existence and numerical approximation of weak solutions of conservation laws
Lax-Richtmyer theory of finite difference methods for linear problems
CFL-condition
Stability of laminar flows
Finite volume methods on unstructured grids

Contents

Ideal Fluids
Weak Solutions of Conservation Laws
Entropy Conditions
The Riemann Problem
Real Fluids
Existence Proof for Entropy Solutions by Means of Discretization Procedures
Types of Discretization Principles

L'auteur - Rainer Ansorge

Rainer Ansorge studied Mathematics and Physics at the Free University and Technical University (TU) of Berlin, Germany. After positions as computational engineer at the Volkswagen Company (1956), Assistent Professor and Associate Professor (1968) at the TU Clausthal, he became Full Professor of Mathematics at the University of Hamburg, Germany (1969). He was one of the founders of the TU Hamburg-Harburg (1974-1986). His scientific research activities are covering more than 20 countries. Prof. Ansorge is member of the European Academy of Sciences and Arts (Vienna), of the New York Academy of Sciences and the GAMM.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Rainer Ansorge
Parution	20/01/2003
Nb. de pages	188
Format	17,5 x 24,5
Couverture	Relié
Poids	502g
Intérieur	Noir et Blanc
EAN13	9783527403974