Lift-up of a sphere in 2D due to a Mach 3 shock wave

Verfication test for moving boundary method used in:

• M. Arienti et al., A level set approach to Eulerian-Lagrangian coupling, J. Comput. Phys., 185 (2003) 213.
• J. Falcovitz et al., A two-dimensional conservation laws scheme for compressible flows with moving boundaries, J. Comput. Phys., 138 (1997) 83.
• H. Forrer, M. Berger, Flow simulations on Cartesian grids involving complex moving geometries flows, Int. Ser. Num. Math. 129, Birkhaeuser, Basel 1 (1998) 315.

As the simulated situation is purely two-dimensional the sphere has to be understood more as a cylinder which increases its lift coefficient. The motion induced by the same shock on really three-dimensional sphere with same density is weaker, see SphereLiftup3D.

-- RalfDeiterding - 25 Jan 2005