High-Order Eulerian Simulations of Multi-Material Elastic-Plastic Flow

[+] Author and Article Information
Akshay Subramaniam

Department of Aeronautics & Astronautics, Stanford University, Stanford, California 94305

Niranjan Ghaisas

Center for Turbulence Research, Stanford University, Stanford, California 94305

Sanjiva Lele

Department of Aeronautics & Astronautics, Stanford University, Stanford, California 94305

1Corresponding author.

ASME doi:10.1115/1.4038399 History: Received December 01, 2016; Revised May 04, 2017


We develop a new high-order numerical method for continuum simulations of multi-material phenomena in solids exhibiting elastic-plastic behavior using the diffuse interface numerical approximation. This numerical method extends an earlier single material high-order formulation that uses a 10th-order high-resolution compact finite difference scheme in conjunction with a localized artificial diffusivity (LAD) method for shock and contact discontinuity capturing. The LAD method is extended here to the multi-material formulation and is shown to perform well for problems involving shock waves, material interfaces and interactions between the two. Accuracy of the proposed approach in terms of formal order (8th-order) and numerical resolution is demonstrated using a suite of test problems containing smooth solutions. Finally, the Richtmyer-Meshkov instability between copper and aluminum is simulated in 2D and a parametric study is performed to assess the effect of initial perturbation amplitude and yield stress.

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