An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. (English) Zbl 1349.76580
Summary: 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.
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 65M85 | Fictitious domain methods for initial value and initial-boundary value problems involving PDEs |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
penalization technique; unstructured mesh; level-set; anisotropic mesh; mesh adaptation; embedded method; Navier-Stokes equationsSoftware:
PaStiXReferences:
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