Mathematical Models of Fluid Dynamics: Modelling, Theory, Basic Numerical Facts – An Introduction 2nd Edition by Rainer Ansorge (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “The book is useful for students and experts, for mathematicians with interest on physical/technical problems, and for engineers in the field of fluid dynamics.” B. Platzer ZAMM No. 9, 1 (2004) From the Inside Flap … From the Back Cover … About the Author 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.Dr. Rainer Ansorge Em. Professor für Mathematik Technische Universität Hamburg-Harburg Hamburg, Germany Prof. Ansorge ist Autor von drei Büchern und über 70 Artikeln in mehr als 20 renommierten internationalen Zeitschriften und Mitglied im Editorial Board mehrerer internationaler Zeitschriften. Prof. Dr. Thomas Sonar Universität Braunschweig Institut Computational Physics Braunschweig, Germany Prof. Sonar ist Leiter der Arbeitsgruppe Partielle Differentialgleichungen im Institut Computational Mathematics der Universität Braunschweig. Fachgebiete: Numerik partieller Differentialgleichungen, Numerische Strömungsmechanik, Analyse diskreter Daten. Read more

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