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Flow simulation in Göttingen

From 9 Au­gust to 17 Sep­tem­ber 2021, Markus Büttner, stu­dent of Elite Grad­uate Pro­gram “Sci­entific Com­puting”, com­pleted an in­tern­ship at the Ger­man Aero­space Cen­ter (DLR) in Göt­tingen. There he learned how to set up and run flow simu­la­tions for DLR's in-house flu­id solv­er. His task was to im­ple­ment thin­ning algo­rithms for the point clouds ob­tained from the finite vol­ume mesh.

The DLR in Göttingen

The world's first public avia­tion re­search center was founded in Göt­tingen in 1907 by Lud­wig Prandtl un­der the name "Modellver­such­san­stalt für Aero­dy­namik". There, scien­tists re­searched many of the fun­damentals of mod­ern avia­tion. In 1969, to­day's Ger­man Aero­space Cen­ter was founded by the mer­ger of sever­al re­search insti­tu­tions. Re­search areas in Göt­tingen in­clude pro­pul­sion pro­cess­es, aeroe­lastics and aero­dy­nam­ics.

 

Flow simulations and point clouds

The equa­tions of Na­vier and Stokes are par­ticu­larly well suited for the math­emat­ical de­scrip­tion of flows. The fluid solver of DLR solves the Na­vier-Stokes equa­tions using the finite vol­ume meth­od and so­phis­ticat­ed linear solu­tion meth­ods. This usual­ly re­quires finely re­solved vol­ume grids, which have a con­sider­able im­pact on the com­puta­tion time. The quali­ty of the reso­lution de­pends on the prob­lem itself. This was the start­ing point of Mr. Büttner's in­tern­ship. With this pro­ject the stu­dent of the Elite Grad­uate Pro­gram„Scientific Computing“ aimed at the im­ple­men­tation of algo­rithms for prob­lem-oriented thin­ning of the point cloud of the vol­ume grid. The two ap­proaches of "Nearest Neighbor Thin­ning" and "Far­thest Point Thin­ning" served as a theo­retical basis.

Text: Maximilian Bauer, coordination Elite Graduate Program “Scientific Computing”