An Energy Stable Monolithic Eulerian Fluid-Structure Numerical Scheme
نویسندگان
چکیده
منابع مشابه
An Energy stable Monolithic Eulerian Fluid-Structure Numerical Scheme *
The conservation laws of continuum mechanics, written in an Eulerian frame, do not distinguish fluids and solids, except in the expression of the stress tensors, usually with Newton’s hypothesis for the fluids and Helmholtz potentials of energy for hyperelastic solids. By taking the velocities as unknown monolithic methods for fluid structure interactions (FSI) are built. In this article such a...
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An algorithm is derived for a hyperelastic incompressible solid coupled with a Newtonian fluid. It is based on a Eulerian formulation of the full system in which the main variables are the velocities. After a fully implicit discretization in time it is possible to eliminate the displacements and solve a variational equation for the velocities and pressures only. The stability of the method depe...
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Article history: Received 18 September 2013 Received in revised form 26 March 2014 Accepted 29 March 2014 Available online 4 April 2014
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2018
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-018-1061-9