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

Fluid Dynamics 2007-05-23 v1 Computational Physics

Abstract

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.

Keywords

Cite

@article{arxiv.physics/9810024,
  title  = {Finite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere},
  author = {M. D. Todorov},
  journal= {arXiv preprint arXiv:physics/9810024},
  year   = {2007}
}

Comments

10 pages, amstex, 4 figures