Anisotropic unstructured mesh adaption for flow simulations

Abstract

Three new ideas for anisotropic adaption of unstructured triangular grids are presented, with particular emphasis on fluid flow computations. © 1997 John Wiley & Sons, Ltd.

Large Eddy Simulation of Turbulent Compressible Flows Using the Characteristic Based Split Scheme and Mesh Adaptation

“…The most important features of the metric-based method employed in this work for two-dimensional problems is briefly described in this section. A more detailed overview of such methodology can be found in references [15,2].…”

“…The main procedures for mesh adaptation used in this work are mesh refinement, mesh coarsening and edge swapping. Mesh adaptation is evaluated anisotropically by making use of a metric-based methodology using the concept of Riemannian space to analyse the error as a tensorial quantity [2].…”

“…Although LES of incompressible flows combined with the CBS scheme has already been successfully addressed, the compressible extension is not yet covered, been the main contribution of this work. The CBS scheme is employed in a Finite Element Method (FEM) context for space and time discretization using unstructured meshes with adaptation [2], allowing the representation of complex geometries with accuracy. The anisotropic mesh adaptation is performed with mesh refinement, mesh coarsening and edge swapping procedures.…”

Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods

“…Determine the elements that cross a discontinuity using the algorithm (27); In elements where the solution is smooth, use (14) and (15) to compute an anisotropic metric field; In elements where the solution is discontinuous, use the reconstructed gradients ÖÛ solution of (20) to compute the normal direction Ò to the discontinuity. Then, build up an anisotropic metric (14) and (15)).…”

“…The mesh metric field obtained from the scaled Hessian matrix (14) and jump features can have some artificial roughness due to the nature of the numerical operations required. To reduce this roughness, a mesh size smoothing procedure is used.…”