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  • 1
    UID:
    b3kat_BV042414358
    Format: 1 Online-Ressource (XIV, 250 p)
    ISBN: 9783662046548 , 9783642074844
    Series Statement: Scientific Computation
    Note: This book is intended as a textbook for a first course in computational fluid dynamics and will be of interest to researchers and practitioners as well. It emphasizes fundamental concepts in developing, analyzing, and understanding numerical methods for the partial differential equations governing the physics of fluid flow. The linear convection and diffusion equations are used to illustrate concepts throughout. The chosen approach, in which the partial differential equations are reduced to ordinary differential equations, and finally to difference equations, gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics
    Language: English
    Keywords: Strömungsmechanik ; Numerisches Verfahren
    URL: Volltext  (lizenzpflichtig)
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    UID:
    almahu_9949199286502882
    Format: XIV, 250 p. , online resource.
    Edition: 1st ed. 2001.
    ISBN: 9783662046548
    Series Statement: Scientific Computation,
    Content: This book is intended as a textbook for a first course in computational fluid dynamics and will be of interest to researchers and practitioners as well. It emphasizes fundamental concepts in developing, analyzing, and understanding numerical methods for the partial differential equations governing the physics of fluid flow. The linear convection and diffusion equations are used to illustrate concepts throughout. The chosen approach, in which the partial differential equations are reduced to ordinary differential equations, and finally to difference equations, gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.
    Note: 1. Introduction -- 2. Conservation Laws and the Model Equations -- 3. Finite-Difference Approximations -- 4. The Semi-Discrete Approach -- 5. Finite-Volume Methods -- 6. Time-Marching Methods for ODE'S -- 7. Stability of Linear Systems -- 8. Choosing a Time-Marching Method -- 9. Relaxation Methods -- 10. Multigrid -- 11. Numerical Dissipation -- 12. Split and Factored Forms -- 13. Analysis of Split and Factored Forms -- Appendices -- A. Useful Relations from Linear Algebra -- A.1 Notation -- A.2 Definitions -- A.3 Algebra -- A.4 Eigensystems -- A.5 Vector and Matrix Norms -- B. Some Properties of Tridiagonal Matrices -- B.1 Standard Eigensystem for Simple Tridiagonal Matrices -- B.2 Generalized Eigensystem for Simple Tridiagonal Matrices -- B.3 The Inverse of a Simple Tridiagonal Matrix -- B.4 Eigensystems of Circulant Matrices -- B.4.1 Standard Tridiagonal Matrices -- B.4.2 General Circulant Systems -- B.5 Special Cases Found from Symmetries -- B.6 Special Cases Involving Boundary Conditions -- C. The Homogeneous Property of the Euler Equations.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783642074844
    Additional Edition: Printed edition: ISBN 9783540416074
    Additional Edition: Printed edition: ISBN 9783662046555
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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