Overview
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Eleuterio F. Toro
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Dept. of Computing and Mathematics, Manchester Metropolitan University, Manchester, UK
Modern numerical methods for describing compressible fluids * Provides an understanding of the basic concepts to apply the methods *
Author takes a didactic approach, pointing out practical applications *
An extra selection of about 30 FORTRAN programs is available from the author
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Table of contents (18 chapters)
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Front Matter
Pages I-XVIII
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Back Matter
Pages 569-593
About this book
In 1917, the British scientist L. F. Richardson made the first reported attempt to predict the weather by solving partial differential equations numerically, by hand! It is generally accepted that Richardson's work, though unsuccess ful, marked the beginning of Computational Fluid Dynamics (CFD), a large branch of Scientific Computing today. His work had the four distinguishing characteristics of CFD: a PRACTICAL PROBLEM to solve, a MATHEMATICAL MODEL to represent the problem in the form of a set of partial differen tial equations, a NUMERICAL METHOD and a COMPUTER, human beings in Richardson's case. Eighty years on and these four elements remain the pillars of modern CFD. It is therefore not surprising that the generally accepted definition of CFD as the science of computing numerical solutions to Partial Differential or Integral Equations that are models for fluid flow phenomena, closely embodies Richardson's work. COMPUTERS have, since Richardson's era, developed to unprecedented levels and at an ever decreasing cost. PRACTICAL PROBLEMS to solved nu merically have increased dramatically. In addition to the traditional demands from Meteorology, Oceanography, some branches of Physics and from a range of Engineering Disciplines, there are at present fresh demands from a dynamic and fast-moving manufacturing industry, whose traditional build-test-fix approach is rapidly being replaced by the use of quantitative methods, at all levels. The need for new materials and for decision-making under envi ronmental constraints are increasing sources of demands for mathematical modelling, numerical algorithms and high-performance computing.
Authors and Affiliations
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Dept. of Computing and Mathematics, Manchester Metropolitan University, Manchester, UK
Eleuterio F. Toro
