From:latypov@server.uwindsor.ca (Azat M. Latypov)Date:21 Feb 94 23:41:30 PSTOrganization:University of Windsor, Ontario, Canada

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Institute for Mathematics and Its Applications, University of Minnesota has made the following preprint available via anonymous ftp: A.M.Latypov Numerical solution of steady Euler equations in streamline-aligned orthogonal coordinates. The PostScript version of the preprint can be obtained by ftping to ftp.ima.umn.edu. It is in the file /preprints/1182.ps. The preprint can be of interest to people working or interested in the following fields of Computational Fluid Dynamics (CFD): o. Solution-adaptive grid generation; o. Free or elastic boundaries; o. Inverse or optimal design. More details can be found in the enclosed abstract. The author shall greatly appreciate any suggestions and/or critique to be sent to the address given in the preprint. ABSTRACT: ~~~~~~~~~ Formulating the governing equations of fluid motion in streamline coordinates allows one to avoid difficulties associated with grid generation and to solve problems of inverse design or problems with free boundaries. The governing equations for steady inviscid two-dimen- sional gas motion are written in an orthogonal system of independent coordinates consisting of the streamfunction and its orthogonal complimentary function. The result is a system of differential conservation laws, expressing con- servation of mass, momentum and energy. The conservative finite volume approximation of these equations can be used to calculate flows with strong shocks. For the case of potential velocity vector field, two different simplified formulations of the governing equations are derived. In order to compute purely supersonic flows, a conservative hybrid grid-characteristic scheme has been developed. To cal- culate transonic potential flows, two iterative algorithms have been implemented. The calculated examples include supersonic flow over a wedge, supersonic flow in an axisymmetric channel and in a jet emerging from this channel, transonic flow in a nozzle and an axisymmetric bumpy channel. ----- Azat M Latypov (Mr) Fluid Dynamics Research Institute, and Dept. of Maths&Statistics, University of Windsor, E-MAIL: latypov@server.uwindsor.ca 401 Sunset Ave., Phone: (519)253-4232 (ext 3582) Windsor, Ontario N9B 3P4 CANADA PS: This announcement has earlier been posted to the CFD mailing list. My apologizes to those who received it twice. PPS: To answer a potential question: To obtain an info on the procedure to be followed to subscribe to the CFD mailing list, send "help" (no quotes) in the body of your email to listserv@perelandra.cms.udel.edu. In order to subscribe, one will need to know the name of the list. It is "cfd" (no quotes). Notice that it took me almost 24 hours to receive the help file. The list is moderated by John D. McCalpin <mccalpin@perelandra.cms.udel.edu>. This is all the information that I have.