Mathematical Models of Fluiddynamics: Modelling, Theory, Basic Numerical Facts - An Introduction

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