Finite element methods for computational fluid dynamics: a practical guide
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
SIAM, Soc. for Industrial and Applied Mathematics
2015
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| Series: | Computational science and engineering series
14 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | VIII, 313 S. Ill., graph. Darst. |
| ISBN: | 9781611973600 |
Staff View
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Record in the Search Index
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| adam_text | FINITE ELEMENT METHODS FOR COMPUTATIONAL FLUID DYNAMICS
/ KUZMIN, DMITRI [AUTHOR.]
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
NOTATION AND PRELIMINARIES
INTRODUCTION TO NUMERICAL METHODS FOR PDES
EQUATIONS OF FLUID DYNAMICS AND HEAT TRANSFER
THE BASICS OF THE FEM FOR THE 1D HEAT EQUATION
THE GALERKIN FEM FOR TWO-DIMENSIONAL PROBLEMS
STABILIZATION TECHNIQUES IN ONE-DIMENSION
STABILIZATION TECHNIQUES IN MULTIDIMENSIONS
ADVANCED METHODS FOR INCOMPRESSIBLE FLOW PROBLEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.
Finite Element Methods for Computational Fluid Dynamics: A Practical Guide
• explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples;
• comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov-Galerkin approximations, Taylor-Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes;
• covers Petrov-Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problems; and
• describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.
The text is aimed at advanced undergraduate and graduate students in computational engineering. It may also be useful to physicists, computational scientists, and developers of numerical simulation software.
Dmitri Kuzmin is a computational mathematician and professor at TU Dortmund University in Germany. He has authored more than 80 publications and co-edited two editions of the book Flux-Corrected Transport: Principles, Algorithms, and Applications (Springer). Professor Kuzmin s research is focused on the design of high-resolution finite element schemes for computational fluid dynamics. His contributions to the field include a variety of flux and slope limiting techniques for enforcing positivity constraints and discrete maximum principles.
Jar! Hâmalainen is Professor of Industrial Mathematics at Lappeenranta University of Technology (LUT) in Lappeenranta, Finland. After obtaining his doctoral degree in 1993 he worked for a decade in industry until he was appointed as a professor in 2004. His major research interests are computational fluid dynamics (CFD) and CFD-based optimization in industrial applications. He has supervised 10 doctoral students (dissertations in 2007-2014), published more than 100 scientific papers, and has 12 patents. Professor Hâmalainen is a member of the executive committee of European Research Community on Flow, Turbulence and Combustion (ERCOFTAC).
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| dewey-full | 620.1/0640151825 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
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| discipline | Physik Mathematik |
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| language | English |
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| spelling | Kuzmin, D. 1974- Verfasser (DE-588)1011171775 aut Elementtimenetelmä virtauslaskennassa Finite element methods for computational fluid dynamics a practical guide Dmitri Kuzmin ; Jari Hämäläinen Philadelphia SIAM, Soc. for Industrial and Applied Mathematics 2015 VIII, 313 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computational science and engineering series 14 Datenverarbeitung Mathematik Fluid dynamics Mathematics Finite element method Data processing Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 s Finite-Elemente-Methode (DE-588)4017233-8 s Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Hämäläinen, Jari 1965- Verfasser (DE-588)1076499120 aut Computational science and engineering series 14 (DE-604)BV022382702 14 LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027631039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027631039&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Kuzmin, D. 1974- Hämäläinen, Jari 1965- Finite element methods for computational fluid dynamics a practical guide Computational science and engineering series Datenverarbeitung Mathematik Fluid dynamics Mathematics Finite element method Data processing Numerische Strömungssimulation (DE-588)4690080-9 gnd Hydrodynamik (DE-588)4026302-2 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4026302-2 (DE-588)4017233-8 |
| title | Finite element methods for computational fluid dynamics a practical guide |
| title_alt | Elementtimenetelmä virtauslaskennassa |
| title_auth | Finite element methods for computational fluid dynamics a practical guide |
| title_exact_search | Finite element methods for computational fluid dynamics a practical guide |
| title_full | Finite element methods for computational fluid dynamics a practical guide Dmitri Kuzmin ; Jari Hämäläinen |
| title_fullStr | Finite element methods for computational fluid dynamics a practical guide Dmitri Kuzmin ; Jari Hämäläinen |
| title_full_unstemmed | Finite element methods for computational fluid dynamics a practical guide Dmitri Kuzmin ; Jari Hämäläinen |
| title_short | Finite element methods for computational fluid dynamics |
| title_sort | finite element methods for computational fluid dynamics a practical guide |
| title_sub | a practical guide |
| topic | Datenverarbeitung Mathematik Fluid dynamics Mathematics Finite element method Data processing Numerische Strömungssimulation (DE-588)4690080-9 gnd Hydrodynamik (DE-588)4026302-2 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Datenverarbeitung Mathematik Fluid dynamics Mathematics Finite element method Data processing Numerische Strömungssimulation Hydrodynamik Finite-Elemente-Methode |
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