Convergence of the point vortex method for the 3-D euler equations
β Scribed by Thomas Y. Hou; John Lowengrub
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 591 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
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
A particles numerical method for incompressible fluid, based on a Hamiltonian formalism due to Oseledets [8], was recently introduced and exploited by Buttke [l]. Here we investigate the convergence of the solutions of such a particles system to the solutions of the incompressible Euler equation, an
The propagation of Ho¨lder regularity of the solutions to the 3D Euler equations is discussed. Our method is a special semi-linearization of the vorticity equation combined with the classical Schauder interior estimates.