𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of Velicity Blobs Method for the Euler Equation

✍ Scribed by Dario Benedetto


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
530 KB
Volume
19
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


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, and point out some features of the Hamiltonian formalism.


πŸ“œ SIMILAR VOLUMES


An Unconditionally Stable Method for the
✍ Helge Holden; Knut-Andreas Lie; Nils Henrik Risebro πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 282 KB

We discuss how to combine a front tracking method with dimensional splitting to solve systems of conservation laws numerically in two space dimensions. In addition we present an adaptive grid refinement strategy. The method is unconditionally stable and allows for moderately high CFL numbers (typica

A Triangulated Vortex Method for the Axi
✍ Michael Carley πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 291 KB

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 a Galerkin method for 2-D
✍ Jian-Guo Liu; Zhouping Xin πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 75 KB πŸ‘ 1 views

We prove the convergence of a discontinuous Galerkin method approximating the 2-D incompressible Euler equations with discontinuous initial vorticity: Ο‰ 0 ∈ L 2 (Ω). Furthermore, when Ο‰ 0 ∈ L ∞ (Ω), the whole sequence is shown to be strongly convergent. This is the first convergence result in numeri

An adaptive least-squares method for the
✍ F. Taghaddosi; W.G. Habashi; G. GuΓ¨vremont; D. Ait-Ali-Yahia πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 384 KB πŸ‘ 2 views

An adaptive least-squares finite element method is used to solve the compressible Euler equations in two dimensions. Since the method is naturally diffusive, no explicit artificial viscosity is added to the formulation. The inherent artificial viscosity, however, is usually large and hence does not