Anisotropic Hybrid Mesh Adaptation Using a Metric Field
Ovidiu Manole, Paul Labbé, Julien Dompierre, Jean‐Yves Trépanier · 16th AIAA Computational Fluid Dynamics Conference · 2003
A formulation of an adaptive mesh method for the computation of viscous flows on hybrid meshes is presented in the paper. To control the adaptation process, the method uses a target metric field which represents the desired size, stretching and orientation of the mesh throughout the entire flow field. The metric is based on the Hessian of the Mach flow field and represents the error on the current mesh. Local transformations are used to reduce the error of the current mesh until the prescribed convergence criterion is used. The metric field does not change throughout the adaptation step. This insures a fixed target for the mesh adaptation process. The unstructured zone is refined using the anisotropic method while in the structured zone only the density of the mesh in the direction tangent to the wall is controlled by the metric field. Results regarding the application of the method and its capabilities are presented for two test cases involving the turbulent flow over airfoils at subsonic and transonic flow regimes.