By W. Schönauer, E. Schnepf (auth.), Prof. Dr. Willi Schönauer, Dr. Wolfgang Gentzsch (eds.)
The GAMM Committee for Numerical tools in Fluid Mechanics organizes workshops which may still compile specialists of a slender box of computational fluid dynamics (CFD) to replace rules and studies which will speed-up the advance during this box. during this feel it was once instructed workshop may still deal with the answer of CFD difficulties on vector pcs. hence we equipped a workshop with the name "The effective use of vector desktops with emphasis on computational fluid dynamics". The workshop happened on the Computing Centre of the collage of Karlsruhe, March 13-15,1985. The participation were limited to 22 humans of seven nations. 18 papers were awarded. within the statement of the workshop we wrote: "Fluid mechanics has actively encouraged the advance of superfast vector pcs just like the CRAY's or CYBER 205. Now those desktops on their flip stimulate the improvement of latest algorithms which bring about a excessive measure of vectorization (sca1ar/vectorized execution-time). yet with three-D difficulties we quick achieve the restrict of current vector desktops. If we need e.g. to resolve a method of 6 partial differential equations (e.g. for u, v, w, p, okay, € or for the vectors u, curl u) on a 50x50x50 grid now we have 750.000 unknowns and for a 4th order distinction strategy we have now circa 60 million nonzero coefficients within the hugely sparse matrix. This characterizes the kind of difficulties which we wish to talk about within the workshop".
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Extra info for The Efficient Use of Vector Computers with Emphasis on Computational Fluid Dynamics: A GAMM-Workshop
15. For this compiler, very long DO-loops were split into smaller ones thereby achieving CPU-time of 78 seconds for the test case. BODY-FITTED GRID GENERATION IN THREE DIMENSIONS The second part of this paper deals with a method of grid generation. Body-fitted grids around simple 3-D wings can be generated by the use of a set of simple analytic funtions. This was done in te previous exa~ple of FLO 22 using a square root transformation along with shearing and stretching transformations. Application of this approach to more complex configurations is very much restricted.
The addition begins at time 141. With parentheses (code B2) the expression is evaluated beginning from the most inner parentheses.
As this code has been written originally for a scalar computer, these derivatives are computed once at the beginning of the program, stored on disks, and read at each iteration~ In the basic version of the code, the mlnlmum necessary represents 60 times the size of a grid surface (I = Cst). storage c) Performances 000000000000 the inner loops in the subroutines performing computations at the current point have been vectorized, the scalar/vectorized time ratio being between 4. 5. This value was obtained despite the short length of the loops (19 or 25) in this case of a 51x(2x25)x19= 43 350 point mesh.
The Efficient Use of Vector Computers with Emphasis on Computational Fluid Dynamics: A GAMM-Workshop by W. Schönauer, E. Schnepf (auth.), Prof. Dr. Willi Schönauer, Dr. Wolfgang Gentzsch (eds.)