Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /

Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /

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The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modeling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows. The book is mainly written for students from mathematics, physics and engineering but also well suited for researchers from academic institutes and industry.

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Main Authors: Meister, Andreas. author., Struckmeier, Jens. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Wiesbaden : Vieweg+Teubner Verlag, 2002
Subjects:Mathematics., Mathematical analysis., Analysis (Mathematics)., Partial differential equations., Partial Differential Equations., Analysis.,
Online Access:http://dx.doi.org/10.1007/978-3-322-80227-9
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spelling KOHA-OAI-TEST:1891192018-07-30T23:12:51ZHyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications / Meister, Andreas. author. Struckmeier, Jens. author. SpringerLink (Online service) textWiesbaden : Vieweg+Teubner Verlag,2002.engThe book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modeling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows. The book is mainly written for students from mathematics, physics and engineering but also well suited for researchers from academic institutes and industry.1 Hyperbolic Conservation Laws and Industrial Applications -- 1.1 Transport theorem and balance laws -- 1.2 Linear initial and boundary value problems -- 1.3 Weak solutions and entropy -- 1.4 Systems of conservation laws -- 2 Central Schemes and Systems of Balance Laws -- 2.1 Second order central schemes -- 2.2 High order central schemes -- 2.3 Multidimensional central schemes -- 2.4 Treatment of the source -- Further developments -- 3 Methods on unstructured grids, WENO and ENO Recovery techniques -- 3.1 Introduction to finite volume approximations -- 3.2 Governing equations -- 3.3 Finite volume approximations -- 3.4 Time stepping schemes -- 3.5 Remarks on the philosophy of ENO schemes -- 3.6 Polynomial recovery -- 3.7 WENO approximations -- 3.8 The theory of optimal recovery -- 3.9 Grid adaptivity for box methods -- 3.10 Error and residual -- 3.11 Experience with L2 -- 3.12 The dual graph-norm -- 3.13 Closing of the circle: L2 meets dual graph norm -- 4 Pressure-Correction Methods for all Flow Speeds -- 4.1 Introduction -- 4.2 Conservation Equations -- 4.3 Pressure-Correction Equation for Incompressible Flows -- 4.4 Pressure-Correction Equation for Compressible Flows -- 4.5 Solution Algorithm for all Flow Speeds -- 4.6 FV-Method for Arbitrary Control Volumes -- 4.7 Pressure-Correction Algorithm for FV-Methods -- 4.8 Implementation of Boundary Conditions -- 4.9 Examples of Application -- 4.10 Conclusions -- 5 Computational Fluid Dynamics and Aeroacoustics for Low Mach Number Flow -- 5.1 Introduction -- 5.2 Non-Dimensionalisation of the Governing Equations -- 5.3 The Incompressible Limit of a Compressible Fluid Flow -- 5.4 Numerical Methods for Low Mach Number Fluid Flow -- 5.5 Sound Generation and Sound Propagation -- 5.6 Multiple Scale Considerations -- 5.7 Numerical Aeroacoustics -- 5.8 Conclusions.The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modeling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows. The book is mainly written for students from mathematics, physics and engineering but also well suited for researchers from academic institutes and industry.Mathematics.Mathematical analysis.Analysis (Mathematics).Partial differential equations.Mathematics.Partial Differential Equations.Analysis.Springer eBookshttp://dx.doi.org/10.1007/978-3-322-80227-9URN:ISBN:9783322802279
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Partial differential equations.
Mathematics.
Partial Differential Equations.
Analysis.
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Partial differential equations.
Mathematics.
Partial Differential Equations.
Analysis.
spellingShingle Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Partial differential equations.
Mathematics.
Partial Differential Equations.
Analysis.
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Partial differential equations.
Mathematics.
Partial Differential Equations.
Analysis.
Meister, Andreas. author.
Struckmeier, Jens. author.
SpringerLink (Online service)
Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /
description The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modeling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows. The book is mainly written for students from mathematics, physics and engineering but also well suited for researchers from academic institutes and industry.
format Texto
topic_facet Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Partial differential equations.
Mathematics.
Partial Differential Equations.
Analysis.
author Meister, Andreas. author.
Struckmeier, Jens. author.
SpringerLink (Online service)
author_facet Meister, Andreas. author.
Struckmeier, Jens. author.
SpringerLink (Online service)
author_sort Meister, Andreas. author.
title Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /
title_short Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /
title_full Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /
title_fullStr Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /
title_full_unstemmed Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications /
title_sort hyperbolic partial differential equations [electronic resource] : theory, numerics and applications /
publisher Wiesbaden : Vieweg+Teubner Verlag,
publishDate 2002
url http://dx.doi.org/10.1007/978-3-322-80227-9
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AT struckmeierjensauthor hyperbolicpartialdifferentialequationselectronicresourcetheorynumericsandapplications
AT springerlinkonlineservice hyperbolicpartialdifferentialequationselectronicresourcetheorynumericsandapplications
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