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Coupled fluid–solid interaction under shock wave loading
Authors:D Gregory Tipton  Mark A Christon  Marc S Ingber
Institution:1. Engineering Sciences Center, Sandia National Laboratories, Albuquerque, NM, U.S.A.;2. CTO Office, Dassault Systèmes SIMULIA, Providence, RI, U.S.A.;3. Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM, U.S.A.
Abstract:This paper considers the treatment of fluid–solid interaction problems under shock wave loading, where the solid experiences large bulk Lagrangian displacements. This work addresses the issues associated with using a level set as a generalized interface for fluid–solid coupling where the fluid–solid interface is embedded in an unstructured fluid grid. We outline the formulation used for the edge‐based unstructured‐grid Euler solver. The identification of the fluid–solid interface on the unstructured fluid mesh uses a super‐sampled ??2 projection technique, which in conjunction with a Lagrangian interface position, permits fast identification of the interface and the concomitant imposition of boundary conditions. The use of a narrow‐band approach for the identification of the wetted interface is presented with the details of the construction of interface conditions. A series of two and three‐dimensional shock‐body computations are presented to demonstrate the validity of the current approach on problems with static and dynamic interfaces, including projectile/shock interaction simulations. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:fluid–  solid interaction  Euler equations  level set  discontinuous Galerkin  shock loading  Riemann problem  interface conditions  super‐sampled projection
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