A new method is presented for the prediction of unsteady axisymmetric inviscid flows. By combining a triangulated vortex approach with a novel evaluation technique for the Biot-Savart integrals, a Lagrangian vortex method is developed which eliminates the singularities usually present in axisymmetri
Convergence of the point vortex method for the 2-D euler equations
β Scribed by Jonathan Goodman; Thomas Y. Hou; John Lowengrub
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 483 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
We prove the convergence of a discontinuous Galerkin method approximating the 2-D incompressible Euler equations with discontinuous initial vorticity: Ο 0 β L 2 (β¦). Furthermore, when Ο 0 β L β (β¦), the whole sequence is shown to be strongly convergent. This is the first convergence result in numeri
In this paper, we extend the use of automatic rezoning to viscous flow in two dimensions. In a previous paper, we tested this technique on inviscid flow, with very good results. To simulate viscosity, we follow Fishelov's idea of explicitly taking the Laplacian of the cutoff function, but unlike Fis
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