A frame invariant and maximum principle enforcing second‐order extension for cell‐centered ALE schemes based on local convex hull preservation |
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Authors: | P Hoch E Labourasse |
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Institution: | CEA, DAM, DIF, Arpajon Cedex, France |
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Abstract: | Two difficulties are clearly identified for high‐order extensions of ALE schemes for Euler equations: strict respect of the maximum principle and preservation of the Galilean invariance. We deal with these two issues in this paper. Our approach is closely related to the concepts of a posteriori limiting and convex hull spanning. We introduce the notion of local convex hull preservation schemes, which embodies these two concepts. We lean on this notion to propose a fully Galilean invariant ALE scheme. Moreover, we provide a new limiter (called Apitali for A Posteriori ITerAtive LImiter) for the remap step, enforcing the local convex hull preservation property. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | Lagrangian hydrodynamics ALE‐Arbitrary Lagrangian Eulerian compressible flow Euler equations limiter algorithm Galilean invariance |
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