An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques

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• 作者：R. Abgrall ; H. Beaugendre ; C. Dobrzynski
• 关键词：Penalization technique ; Unstructured mesh ; Level-set ; Anisotropic mesh ; Mesh adaptation ; Embedded method ; Navier&ndash ; Stokes equations
• 刊名：Journal of Computational Physics
• 出版年：15 January, 2014
• 年：2014
• 卷：257
• 期：part_PA
• 页码：83-101
• 全文大小：3989 K

文摘

The interest on embedded boundary methods increases in Computational Fluid Dynamics (CFD) because they simplify the mesh generation problem in the case of the Navier-Stokes equations. The same simplifications occur for the simulation of multi-physics flows, the coupling of fluid-solid interactions in situation of large motions or deformations, to give a few examples. Nevertheless an accurate treatment of the wall boundary conditions remains an issue of the method. In this work, the wall boundary conditions are easily taken into account through a penalization technique, and the accuracy of the method is recovered using mesh adaptation, thanks to the potential of unstructured meshes. Several classical examples are used to demonstrate that claim.