Publications Details
Comparison of Heat Flux Predictions over the Blottner Cylinder and Sphere
The prediction of heat flux over a sphere in hypersonic flow is an interesting and challenging problem. When using solutions to the Navier-Stokes equations to predict the heat flux, a common source of numerical error is a phenomenon known as 'grid imprinting'. Rather than the axisymmetric heat flux profile expected for a spherical surface, the topology of the grid can be seen in the surface heat flux distribution. We will examine the origin of this phenomenon; specifically the regions of the grid that contribute most. Comparisons will be made between second order finite volume and Discontinuous Galerkin (DG) results — the DG results will range from 2nd to 4th order. The Dual Weighted Residual (DWR) framework is used to obtain local error estimates for the heat flux integrated over the surface with respect to the grid for the DG results.