Innovative methods for numerical solutions of partial differential equations / edited by M.M. Hafez, J.-J. Chattot.

Format:

Book

Contributor:

Roe, P. L.

Hafez, M. M.

Chattot, J. J.

Language:

English

Subjects (All):

Differential equations, Partial--Numerical solutions--Congresses.

Differential equations, Partial.

Physical Description:

1 online resource (418 p.)

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

Summary:

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 applications, algorithm developments and modern computational techniques for industry. <br><i>Contents:</i><ul><li>"A One-Sided View": The Real Story <i>(B van Leer)</i></li><li>Collocated Upwind Schemes for Ideal MHD <i>(K G Powell)</i></li><li>The Penultimate Scheme for Systems of Conservation Laws: Finite

Contents:

Contents ; 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

1 Introduction

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611956424

9781281956422

1281956422

9789812810816

9812810811

OCLC:

879025482