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.

Anne and Joseph Trachtman Memorial Book Fund.

Language:

English

Subjects (All):

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

Differential equations, Partial.

Differential equations, Partial--Numerical solutions.

Genre:

Conference papers and proceedings.

Festschriften.

Physical Description:

xxxiv, 382 pages : illustrations ; 24 cm

Place of Publication:

River Edge, NJ : World Scientific, [2002]

Summary:

Based on a July 1998 symposium held in France, this collection of 17 papers presents recent developments in the theory and algorithms for solving partial differential equations and their application in industry. Topics include collocated upwind schemes for compressible magnetohydrodynamics, a finite element based level set method for multiphase flows, superconvergent lift estimates through adjoint error analysis, flux schemes for solving nonlinear systems of conservation laws, and kinetic schemes for solving Saint-Venant equations on unstructured grids. No index. Annotation copyrighted by Book News, Inc., Portland, OR.

Contents:

"A One-Sided View:" The Real Story, by B. van Leer with a post-script by K. G. Powell 1

Collocated Upwind Schemes for Ideal MHD / K. G. Powell 10

The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting / R.P. Fedkiw, B. Merriman, R. Donat, S. Osher 49

A Finite Element Based Level-Set Method for Multiphase Flows / B. Engquist, A.-K. Tornberg 86

The GHOST Fluid Method for Viscous Flows / R.P. Fedkiw, X.-D. Liu 111

Factorizable Schemes for the Equations of Fluid Flow / D. Sidilkover 144

Evolution Galerkin Methods as Finite Difference Schemes / K. W. Morton 160

Fluctuation Distribution Schemes on Adjustable Meshes for Scalar Hyperbolic Equations / M.J. Baines 175

Superconvergent Lift Estimates Through Adjoint Error Analysis / M.B. Giles, N.A. Pierce 198

Somewhere between the Lax-Wendroff and Roe Schemes for Calculating Multidimensional Compressible Flows / A. Lerat, C. Corre, Y. Huang 212

Flux Schemes for Solving Nonlinear Systems of Conservation Laws / J.M. Ghidaglia 232

A Lax-Wendroff Type Theorem for Residual Schemes / R. Abgrall, K. Mer, B. Nkonga 243

Kinetic Schemes for Solving Saint-Venant Equations on Unstructured Grids / M. O. Bristeau, B. Perthame 267

Nonlinear Projection Methods for Multi-Entropies Navier-Stokes Systems / C. Berthon, F. Coquel 278

A Hybrid Fluctuation Splitting Scheme for Two-Dimensional Compressible Steady Flows / P. De Palma, G. Pascazio, M. Napolitano 305

Some Recent Developments in Kinetic Schemes Based on Least Squares and Entropy Variables / S.M. Deshpande 334

Difference Approximation for Scalar Conservation Law. Consistency with Entropy Condition from the Viewpoint of Oleinik's E-Condition / H. Aiso 359

Lessons Learned from the Blast Wave Computation Using Overset Moving Grids: Grid Motion Improves the Resolution / K. Fujii 371.

Notes:

Includes bibliographical references.

Local Notes:

Acquired for the Penn Libraries with assistance from the Anne and Joseph Trachtman Memorial Book Fund.

ISBN:

9810248105

OCLC:

49327070