Georgia Institute of Technology College of Sciences

This talk highlights two recent advances in applying the high-order spectral difference (SD) method for computational fluid dynamics on unstructured meshes. The first is a novel curved sliding-mesh technique for the SD method, enabling accurate simulations of rotary-wing aerodynamics. Recent applications include large eddy simulations of marine propellers and ducted wind turbines. The second is the development of a massively parallel code, CHORUS++, designed for Nvidia GPUs to study magnetohydrodynamics in the solar interior. From a computational mathematics standpoint, Dr. Liang also introduced the spectral difference with divergence cleaning (SDDC) algorithm, which addresses the solenoidal constraint of magnetic fields, particularly in the presence of physical boundaries on 3D unstructured grids.