Development of a Cartesian Cut-Cell Solver for Viscous Flows
A. Kleb, K. J. Fidkowski, and J. R. R. A. Martins
AIAA SciTech Forum, 2023
Mesh generation in Computational Fluid Dynamics (CFD) is one of the most critical and time consuming parts of the analysis process. Cartesian cut-cell methods with adjoint based adaptive mesh refinement (AMR) have been used on inviscid problems to automate the meshing procedure for arbitrary geometries. However, these methods struggle with viscous equations because they lack a robust way to account for varying scales in spatial dimensions. A Viscous Aerodynamic Cartesian Cut-cell (VACC) toolbox has been developed to facilitate Cartesian cut-cell research on high Reynolds number viscous flows. We found that directional limiters perform better than scalar limiters for maintaining accuracy and total variation diminishing solutions. Implicit residual smoothing and variations of the Runge-Kutta time marching scheme proved effective for accelerating our explicit time marching scheme. VACC shows excellent parallel scaling. This paper outlines the progress made so far on the mesh generator and the flow solver.