Hyperbolic Partial Differential Equations : Theory, Numerics and Applications / edited by Andreas Meister, Jens Struckmeier
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 2002. |
| 出版者 | Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag |
| 出版年 | 2002 |
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| 書誌ID | OB01025325 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access Summary: 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 |
| 著者標目 | Meister, Andreas Struckmeier, Jens SpringerLink (Online service) |
| 件 名 | LCSH:Differential equations LCSH:Mathematical analysis FREE:Differential Equations FREE:Analysis |
| 分 類 | LCC:QA370-380 DC23:515.35 |
| 巻冊次 | ISBN:9783322802279 RefWorks出力（各巻） print ; ISBN:9783322802293 RefWorks出力（各巻） print ; ISBN:9783322802286 RefWorks出力（各巻） print ; ISBN:9783528031886 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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