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EPJ Web of Conferences | Vol.10, Issue. | 2017-05-29 | Pages

Vector Image Polygon (VIP) limiters in ALE Hydrodynamics

Luttwak G.,Falcovitz J.

Abstract

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.

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Vector Image Polygon (VIP) limiters in ALE Hydrodynamics

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Keywords

arbitrary lagrangian eulerian ale symmetry preservation frame invariant monotonicity criterion vector image polygonpolyhedron vip limiter lagrangian phase of the smgq 2d cylindrical noh problem smqq scheme momentum advection phase slope limiter

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Luttwak G.,Falcovitz J.,.Vector Image Polygon (VIP) limiters in ALE Hydrodynamics. 10 (),.

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