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Mathematical Models of Fluid Dynamics: Modelling, Theory, Basic Numerical Facts - An Introduction - Tapa dura
Sinopsis
This introduction to the field contains a careful selection of topics and examples without sacrificing scientific strictness. The author guides readers through mathematical modelling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behaviour 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. The book consists of 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. This is the first text of its kind to merge all these subjects so thoroughly.
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Acerca del autor
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.
De la contraportada
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
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