Modelling complex high speed multimaterial evolutions using a single mesh multivelocity strategy

Abstract

International audienceIn the present paper, we propose another space discretization of the kinematic constraint for a single grid multi velocity formulation leading to a better approximation of the interface physics. The paper is organized as follows. In the next section, we will briefly review the problem to solve and the single mesh multi-velocity discretization strategy. In Section 3, we will then introduce our new cell-based discretization of the normal velocity continuity constraint on the interface, develop the proper velocity enrichment, and analyse its stability. A generic time discretization is next introduced in Section 4 and adapted to the specific space discretization proposed herein. The proposed methodology is finally validated on a few numerical examples

Special Issue: Advances in Embedded Interface Methods

“…The challenge of developing methods that properly balance the various features is by no means a trivial matter, as the 11 papers of this issue clearly demonstrate. In broad terms, one group of papers emphasizes geometric aspects , a second group focuses on multi‐field interaction , and the remainder deals with formulation and implementational aspects of embedded interface methods .…”

“…Folzan et al present a discretization strategy of the normal velocity constraint in a multi‐velocity multi‐material single mesh ALE scheme. The proposed interface Lagrange multiplier is constant by cell, requiring an adequate local enrichment of the velocity field and allowing strain discontinuity at the interface.…”