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Innovative Methods for Numerical Solution of Partial Differential Equations.
This book consists of 20 review articles dedicated to Prof. Philip Roe on the occasion of his 60th birthday and in appreciation of his original contributions to computational fluid dynamics. The articles, written by leading researchers in the field, cover many topics, including theory and applicatio...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Dedication ; Contributions of Philip Roe ; ""A One-Sided View:"" The Real Story ; 1 Historic backdrop ; 2 A new passion: limericks ; 3 ""A One-Sided View"" ; 4 Getting it (not) published ; 5 Epilogue ; 6 Post-script ; Collocated Upwind Schemes for Ideal MHD.
- 1 Introduction 2 Governing Equations ; 3 Elements of Solution Scheme ; 4 Validation of Scheme ; 5 Results ; 6 Concluding Remarks ; References ; The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting ; 1 Introduction.
- 2 Background and Motivation 3 Model Equations and Discretizations ; 4 Spatial Discretization ; 5 Time Discretization ; 6 The Finite Difference ENO Scheme ; 7 Marquina's Flux Splitting ; 8 Examples ; 9 Conclusions ; 10 Acknowledgements ; References.
- A Finite Element Based Level-Set Method for Multiphase Flows 1 Introduction ; 2 The Navier-Stokes Equations ; 3 The Level-Set Method ; 4 Numerical Integration of a Discontinuous Function ; 5 Numerical Simulations using the Level-Set Method ; 6 Alternative Methods ; References.
- The GHOST Fluid Method for Viscous Flows 1 Introduction ; 2 Equations ; 3 The GFM for Inviscid Flow ; 4 Generalization of the Ghost Fluid Method ; 5 The Viscous Stress Tensor ; 6 Examples ; 7 Acknowledgements ; References ; Factorizable Schemes for the Equations of Fluid Flow.