Improved transient-fixed-point mesh adaptation using orthogonality-preserving metric intersection

This paper deals with metric intersection methods used to combine solutions at different time steps for unsteady mesh adaptation. An Orthogonality preserving metric intersection technique is used to improve the original transient-fixed-point mesh adaptation scheme. The proposed scheme combines metric tensors computed over solutions at different time steps to obtain their intersection. Then, the mesh adaptation code uses the intersection metric as a measure to approximate the error for unsteady adaptation purpose. The goal is to reach an optimized mesh for the fixed-point problem of coupled solution-mesh at every time step. A 2D blast equation problem, the classical case of Mach 3 wind tunnel with forward facing step and viscous flow over multi-dimensional airfoil are used to illustrate the performance of the proposed scheme.