Time-Accurate Schemes for Computing Two- and Three-Dimensional Viscous Fluxes on Unstructured Dynamic Meshes

Numerical simulations of viscous flow problems with complex moving boundaries commonly require the solution of the fluid equations on unstructured and deformable dynamic meshes. In this paper, we present a time-accurate methodology for computing the unsteady diffusive fluxes arising from such problems, and highlight its impact on the accuracy of the overall flow simulation. We illustrate this methodology with a viscous flow problem related to a supersonic aeroelastic application. The numerical schemes presented in this paper can be directly extended to the computation of turbulent flows on moving grids.