Mathematical Models of Fluid Dynamics Modelling, Theory, Basic Numerical Facts - An Introduction

by Ansorge, Rainer; Sonar, Thomas

• ISBN13: 9783527407743
• ISBN10: 352740774X
• Edition: 2nd
• Format: Hardcover
• Copyright: 2009-08-24
• Publisher: Wiley-VCH

Summary

Without sacrificing scientific strictness, this introduction to the field guides readers through mathematical modeling, the 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. The book is carefully divided into three main parts: - The design of mathematical models of physical fluid flow; - A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; - The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. Both students and experts wanting to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from this combination of all relevant aspects in one handy volume.

Author Biography

Dr. Rainer Ansorge
Em. Professor of Mathematics
Technical University Hamburg-Harburg
Hamburg, Germany

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) 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) and his scientific research activities are covering more than 20 countries. Prof. Ansorge is member of the European Academy of Sciences and Arts, of the New York Academy of Sciences and the GAMM.


Prof. Dr. Thomas Sonar
University of Braunschweig
Institute of Computational Physics
Braunschweig, Germany

Prof. Sonar is head of the group Partial Differential Equations at the Institute of Computational Mathematics of the University of Braunschweig. His main fields are: Numerics of the partial differential equations, numerical fluid mechanics and analysis of discrete data.

Table of Contents

Plasma as an object of spectroscopy. General features

Main parameters and definitions for description of light emission, absorption and scattering by plasma

Methods of emission, absorption and scattering for determination of particles densities in the bonded energy spectra states in plasma

Intensities in spectrum and the distribution of plasma energy in internal and translational atomic and molecular degrees of freedom

Measurements of concentration of atoms and molecules

Spectral methods of measurements of electric and magnetic fields in plasma

Determination of plasma free electrons parameters

Statistical weights and partition sums

Relations between the quantities used for description of optical transition probabilities in linear spectra

Cross-sections for two-photon absorption by some atoms and molecules in ground states

Data on some diatomic molecules for identity and procession of spectra of low temperature plasma emission

Intensity factors in rotation structure of electron-vibration spectra of diatomic molecules

Some general data useful for plasma spectroscopy

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