A Cartesian scheme for compressible multimaterial models in 3D
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.
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BRAUER (DE), Alexia; IOLLO, Angelo; MILCENT, Thomas (2014)This paper is devoted to the 3D extension of a sharp interface multimaterial method. We present preliminary results for 3D stiff cases of shock air/helium/water interaction and impacts of projectiles on elastic bodies ...
DE BRAUER, Alexia; IOLLO, Angelo; MILCENT, Thomas (Istituto Nazionale di Alta Matematica, 2015)We propose a simple Cartesian method to simulate the interaction of compressible materials separated by a sharp interface. The model describes fluids, hyper-elastic and perfectly plastic solids in a fully Eulerian frame ...
DE BRAUER, Alexia; GORSSE, Yannick; IOLLO, Angelo; MILCENT, Thomas (2013)We aim to simulate the interactions at the material interface of two compressible media. These interactions are modeled by a single fully Eulerian system of conservation laws. The materials differ by their constitutive ...
DE BRAUER, Alexia; IOLLO, Angelo; MILCENT, Thomas (Global-Science Press, 2017)We describe a numerical model to simulate the non-linear elasto-plastic dy- namics of compressible materials. The model is fully Eulerian and it is discretized on a fixed Cartesian mesh. The hyperelastic constitutive law ...
GORSSE, Yannick; IOLLO, Angelo; MILCENT, Thomas (Springer Berlin Heidelberg, 2014)We present multimaterial simulations using both Eulerian and Lagrangian schemes. The methods employed are based on classical Godunov-like methods that are adapted to treat the case of interfaces separating different ...