Computational aerodynamics and fluid dynamics : an introduction
著者
書誌事項
Computational aerodynamics and fluid dynamics : an introduction
（Scientific computation）（Physics and astronomy online library）
Springer, 2004
Corr. 2nd print
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.
目次
1. Introduction.- 2. Basics of the Finite-Difference Method.- 3. Application to the Integration of Ordinary Differential Equations.- 4. Partial Differential Equations.- 5. Integration of a Linear Hyperbolic Equation.- 6. Integration of a Linear Parabolic Equation.- 7. Integration of a Linear Elliptic Equation.- 8. Finite Difference Scheme for a Convection-Diffusion Equation.- 9. The Method of Murman and Cole.- 10. Treatment of Non-Linearities.- 11. Application to a System of Equations.- A. Problems.- B. Solutions to Problems.- References.
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