Edge-Based Anisotropic Mesh Adaptation for CFD Applications

This paper presents an anisotropic mesh adaptation technique relying on the length distribution tensor approach and an edge based error estimator. It enables to calculate a stretching factor providing a new edge length distribution, its associated tensor and the corresponding metric. The optimal stretching factor field is obtained by solving an optimization problem under the constraint of a fixed number of nodes. It accounts for different component fields in a single metric. With such features, the method proves to be simple and efficient and can be easily applied to a large panel of challenging CFD applications.

[1]  Thierry Coupez,et al.  Stabilized finite element method for incompressible flows with high Reynolds number , 2010, J. Comput. Phys..

[2]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[3]  A. Peirce.  Computer Methods in Applied Mechanics and Engineering , 2010 .

[4]  C. Gruau,et al.  3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric , 2005 .

[5]  Simona Perotto,et al.  New anisotropic a priori error estimates , 2001, Numerische Mathematik.

[6]  Frédéric Alauzet,et al.  Adaptation de maillage anisotrope en trois dimensions : applications aux simulations instationnaires en mécanique des fluides , 2003 .

[7]  Pascal Frey,et al.  Anisotropic mesh adaptation for CFD computations , 2005 .

[8]  H. Kuhlmann,et al.  Accurate three-dimensional lid-driven cavity flow , 2005 .

[9]  Carl Ollivier-Gooch,et al.  Two-dimensional Delaunay-based anisotropic mesh adaptation , 2010, Engineering with Computers.

[10]  Thierry Coupez,et al.  Object-oriented programming for “fast and easy” development of parallel applications in forming processes simulation , 2003 .

[11]  Mark S. Shephard,et al.  3D anisotropic mesh adaptation by mesh modification , 2005 .

[12]  Thierry Coupez,et al.  Solution of high-Reynolds incompressible flow with stabilized finite element and adaptive anisotropic meshing , 2013 .

[13]  Thierry Coupez,et al.  Génération de maillage et adaptation de maillage par optimisation locale , 2000 .

[14]  T. Coupez,et al.  Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing , 2011, J. Comput. Phys..

[15]  J. Remacle,et al.  Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods , 2005 .

[16]  Paul-Louis George,et al.  3D transient fixed point mesh adaptation for time-dependent problems: Application to CFD simulations , 2007, J. Comput. Phys..

[17]  Robert M. O'Bara,et al.  Adaptive mesh generation for curved domains , 2005 .