The mathematical formulation of the dynamics of free liquid surfaces including the effects of surface tension is governed by a non-linear system of elliptic differential equations. The major difยฎculty of getting unique closed solutions only in trivial cases is overcome by numerical methods. This pap
On the use of general elements in fluid dynamics simulations
โ Scribed by Chalasani, S. ;Senguttuvan, V. ;Thompson, D. ;Luke, E.
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 420 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.1017
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โฆ Synopsis
Abstract
As flow solvers have become more sophisticated, many now have the capability to handle meshes with general polyhedral elements, i.e. general elements. In response, researchers have begun to develop mesh generation strategies that exploit nonstandard element types. General elements have been employed locally in nearโbody extruded meshes to improve mesh quality and have also been
used in solution adaptive mesh refinement algorithms. In this paper, we present two mesh generation strategies that employ general elements. We also discuss how a specific flow solver is formulated to work with general elements. We demonstrate our approach by presenting simulation results for two realistic configurations. We close with a discussion that highlights future research directions. Copyright ยฉ 2007 John Wiley & Sons, Ltd.
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