Two Mesh Deformation Methods Coupled with a Changing-connectivity Moving Mesh Method for CFD Applications

Three-dimensional real-life simulations are generally unsteady and involve moving geometries. Industry is currently very far from performing such body-fitted simulations on a daily basis, mainly due to the robustness of the moving mesh algorithm and their extensive computational cost. A moving mesh algorithm coupled to local mesh optimizations has proved its efficiency in dealing with large deformation of the mesh without re-meshing. In this paper, the coupling of this algorithm with two mesh deformation techniques is studied: an elasticity PDE-based one and an explicit Inverse Distance Weighted interpolation one, and both techniques are compared. The efficiency of this method is demonstrated on challenging test cases, involving large body deformations, boundary layers and large displacements with shearing. Finally, the moving mesh algorithm is coupled to a CFD flow solver.

[1]  Scott M. Murman,et al.  Simulations of 6-DOF Motion with a Cartesian Method , 2003 .

[2]  C. Dobrzynski,et al.  Anisotropic Delaunay Mesh Adaptation for Unsteady Simulations , 2008, IMR.

[3]  Rainald Loehner,et al.  Numerical simulation of aircraft canopy trajectory , 1997 .

[4]  Ashraf El-Hamalawi,et al.  Mesh Generation – Application to Finite Elements , 2001 .

[5]  J. Benek,et al.  A 3-D Chimera Grid Embedding Technique , 1985 .

[6]  Rainald Loehner,et al.  A new ALE adaptive unstructured methodology for the simulation of moving bodies , 1994 .

[7]  Nigel P. Weatherill,et al.  A method for time accurate turbulent compressible fluid flow simulation with moving boundary components employing local remeshing , 2007 .

[8]  Timothy J. Baker,et al.  Dynamic adaptation for deforming tetrahedral meshes , 1999 .

[9]  Eric Blades,et al.  A fast mesh deformation method using explicit interpolation , 2012, J. Comput. Phys..

[10]  Rainald Löhner,et al.  Adaptive embedded unstructured grid methods , 2003 .

[11]  Matthew L. Staten,et al.  A Comparison of Mesh Morphing Methods for 3D Shape Optimization , 2011, IMR.

[12]  C. Peskin Flow patterns around heart valves: A numerical method , 1972 .

[13]  Paul-Louis George TET MESHING: Construction, Optimization and Adaptation , 1999 .

[14]  F. Alauzet,et al.  High-Order Sonic Boom Prediction by Utilizing Mesh Adaptive Methods , 2009 .

[15]  Frédéric Alauzet,et al.  Large displacement body-fitted FSI simulations using a mesh-connectivity-change moving mesh strategy , 2014 .

[16]  Paul-Louis George,et al.  Optimization of Tetrahedral Meshes , 1995 .

[17]  J. Remacle,et al.  A mesh adaptation framework for dealing with large deforming meshes , 2010 .

[18]  Frédéric Alauzet,et al.  Extension of Metric-Based Anisotropic Mesh Adaptation to Time-Dependent Problems Involving Moving Geometries , 2011 .

[19]  H. Bijl,et al.  Mesh deformation based on radial basis function interpolation , 2007 .

[20]  Olivier Pironneau,et al.  Analysis of a Chimera method , 2001 .

[21]  L. Eriksson Generation of boundary-conforming grids around wing-body configurations using transfinite interpolation , 1982 .

[22]  Frédéric Alauzet,et al.  A changing-topology moving mesh technique for large displacements , 2013, Engineering with Computers.

[23]  N. Weatherill,et al.  Unstructured grid generation using iterative point insertion and local reconnection , 1995 .