1998/10/13 by M. D. Todorov
Physics and Astronomy · #physics.flu-dyn #physics.comp-ph
published as Applications of Mathematics in Engineering'24, Heron Press, Sofia, 1999, 196-201 · 10 pages, amstex, 4 figures
arxiv created 1998/10/13 · arxiv updated 2009/12/01
The classical Helmholtz problem is applied for modelling the axisymmetric inviscid cusp-ended separated flow around a sphere. Two coordinate systems are employed: polar for initial calculations and parabolic the latter being more suitable for investigation of infinitely-long stagnation zones. Scaled coordinates are introduced and difference schemes for the free-stream equation and the Bernoulli integral are devised. The separation point is not initially prescribed and is defined iteratively. A separated flow with vanishing drag coefficient is obtained.