LEADER 05227nam 2200649 a 450 001 9910454069103321 005 20200520144314.0 010 $a1-281-95642-2 010 $a9786611956424 010 $a981-281-081-1 035 $a(CKB)1000000000537942 035 $a(EBL)1681608 035 $a(OCoLC)879025482 035 $a(SSID)ssj0000179618 035 $a(PQKBManifestationID)11154644 035 $a(PQKBTitleCode)TC0000179618 035 $a(PQKBWorkID)10139425 035 $a(PQKB)10373993 035 $a(MiAaPQ)EBC1681608 035 $a(WSP)00004863 035 $a(Au-PeEL)EBL1681608 035 $a(CaPaEBR)ebr10255469 035 $a(CaONFJC)MIL195642 035 $a(EXLCZ)991000000000537942 100 $a20020307d2002 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aInnovative methods for numerical solutions of partial differential equations$b[electronic resource] /$fedited by M.M. Hafez, J.-J. Chattot 210 $aRiver Edge, NJ $cWorld Scientific$dc2002 215 $a1 online resource (418 p.) 300 $aDescription based upon print version of record. 311 $a981-02-4810-5 320 $aIncludes bibliographical references. 327 $aContents ; 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 327 $a1 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 327 $a2 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 327 $aA 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 327 $aThe 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 327 $a1 Introduction 330 $a 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.
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