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de Brauer, Alexia; Iollo, Angelo; Milcent, Thomas

A Cartesian scheme for compressible multimaterial models in 3D. (English) Zbl 1349.74370

J. Comput. Phys. 313, 121-143 (2016).
Summary: We model the three-dimensional interaction of compressible materials separated by sharp interfaces. We simulate fluid and hyperelastic solid flows in a fully Eulerian framework. The scheme is the same for all materials and can handle large deformations and frictionless contacts. Necessary conditions for hyperbolicity of the hyperelastic neohookean model in three dimensions are proved thanks to an explicit computation of the characteristic speeds. We present stiff multimaterial interactions including air-helium and water-air shock interactions, projectile-shield impacts in air and rebounds.

Cited in 15 Documents

MSC:

74S20 Finite difference methods applied to problems in solid mechanics
76M20 Finite difference methods applied to problems in fluid mechanics
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
74B20 Nonlinear elasticity
76Nxx Compressible fluids and gas dynamics

Keywords:

compressible multimaterial; immersed boundary; Eulerian elasticity
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References:

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