Abstract:
For viscous compressible flow, a Cartesian grid approach has been devised to solve
the Navier-Stokes equations. Both steady and unsteady fluxes have been taken into
account. We treat the nearest grid points as mirror points of the ghost points using a
simpler ghost point approach. In the submerged boundary, wall boundary requirements
are established at the ghost spots. The method’s accuracy has been examined for a
number of test scenarios. We provide numerical instances of supersonic flow in a circular
cylinder and comapare them with analytical outcomes. Furthermore, we compute time accurate results of the compressible Navier-Stokes problems for an incidence shock
across a cylinder and compare the history with earlier studies. To demonstrate the
correctness of the approach, we calculated skin friction profiles and compared the results
with the body fitted method. Although it works better, the current approach is based
on a simplifed ghost point treatment that was previously established. The results
are comparable, although not being as precise as those obtained using more advanced
techniques.
