Finite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere

Details Finite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere Finite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere

1998-10-13

arxiv.org/abs/physics/9810024v1

Applications of Mathematics in Engineering'24, Heron Press, Sofia, 1999, 196-201

Physics

Fluid Dynamics

10 pages, amstex, 4 figures

Scientific paper

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.

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