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Explicit Finite Difference Methods: Some Selected Applications to Inviscid and Viscous Flows

  • J. D. AndersonJr.

Abstract

In this chapter we round-out our introductory treatment of computational fluid dynamics by discussing some applications of explicit finite difference methods to selected examples for inviscid and viscous flows. These examples have one thing in common—they are results obtained by either the present author and/or some of his graduate students over the past few years. This is not meant to be chauvinistic; rather this choice is intentionally made to illustrate what can be done by uninitiated students who are new to the ideas of CFD. These examples demonstrate the power and beauty of CFD in the hands of students much like yourselves who may have little or no experience in the field. Moreover, in all cases the applications are carried out with computer programs designed and written completely by each student. This is following the author’s educational philosophy that each student should have the experience of starting with paper and pencil, writing down the governing equations, developing the appropriate numerical solution of these equations, writing the FORTRAN program, punching the program into the computer, and then going through all the trials and tribulations of making the program work properly. This is an important aspect of CFD education. No established computer programs (‘canned’ programs) are used; everything is ‘home-grown’, with the exception of standard graphics packages which are used to plot the results. Therefore, by examining these examples, you should obtain a reasonable feeling for what you can expect to accomplish when you first jump into the world of CFD applications.

Keywords

AIAA Paper AIAA Journal Nozzle Flow Space Grid Point Governing Flow Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

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  • J. D. AndersonJr.

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