The application of power-law interpolation based immersed boundary method in compressible flow simulation

The immersed boundary method(IBM) was rapid developed in recent years because of its flexibility for complex configurations and moving bodies. Up to date, most of the researches on IB method focused on the incompressible flow due to the limitation of the interpolation method. The current research applied the Choi's power-law interpolation and the Crocce-Busemann relationship for the velocity and temperature approximation in the objective cells. The ghost cell method was also used for computing the variables at the cells in the body. The subsonic/transonic NACA0012 airfoil compressible cases and 2D supersonic cylinder benchmark cases were chosen for method validation. The numerical result of these benchmark cases with proper parameter k compared well with the experimental data. The mesh convergence of the new method has also been proved. The analysis and discussion show that the method is suitable for compressible flow simulation.