"Numerical solution of steady Euler equations in streamline-aligned orthogonal coordinates." (Preprint Announcement).

From:         latypov@server.uwindsor.ca (Azat M. Latypov)
Date:         21 Feb 94 23:41:30 PST
Organization: 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.