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A particle numerical approach based on the SPH method for computational fluid mechanics. (English) Zbl 1118.76349

Brebbia, C. A. (ed.), Boundary elements XXVI. Papers from the twenty-sixth international conference on boundary elements and other mesh reduction methods, Bologna, Italy, April 19–21, 2004. Southampton: WIT Press (ISBN 1-85312-708-6/hbk). International Series on Advances in Boundary Elements 19, 183-192 (2004).
Summary: Meshfree methods have experienced an important improvement in the last decade. Actually, we can say that the emerging meshless technology constitutes the most promising tool to simulate complex problems in the fluid dynamics area. In this paper we present a formulation which combines a Lagrangian description of the fluid movement (following the spirit of smoothed particle hydrodynamics and vortex particle methods) with a Galerkin formulation and moving least-squares approximation. The performance of the methodology proposed is shown through various dynamic simulations, demonstrating the attractive ability of particle methods to handle severe distortions and complex phenomena.
For the entire collection see [Zbl 1051.74001].

MSC:

76M28 Particle methods and lattice-gas methods
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