Vector Image Polygon (VIP) limiters in ALE Hydrodynamics
1 Rafael, Box 2250, Haifa 31021, Israel
2 Institute of Mathematics, The Hebrew University of Jerusalem, Israel
a e-mail: firstname.lastname@example.org
Recently ([1, 2]) we have formulated a new frame invariant monotonicity criterion and slope limiter for vectors and applied it to the Lagrangian phase of the SMG/Q scheme. This Vector Image Polygon/Polyhedron (VIP) limiter was shown to improve symmetry preservation in a set of test problems. In this study we implement the VIP limiter also to the momentum advection phase of the SMQ/Q scheme for (Arbitrary Lagrangian Eulerian) ALE hydrodynamics. The 2D cylindrical Noh problem serves as a test case to demonstrate the effect of the VIP limiter on symmetry preservation.
© Owned by the authors, published by EDP Sciences, 2010