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2014•SAM, the Arts et Métiers ParisTech open access repository (Paris Institute of Technology)Open access

EULERIAN MODEL OF IMMERSED ELASTIC SURFACES WITH FULL MEMBRANE ELASTICITY

Thomas Milcent, Emmanuel Maitre

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Abstract

We introduce an Eulerian model for the coupling of a fluid governed by the Navier– Stokes equations, with an immersed interface endowed with full membrane elasticity (i.e., including shear effects). We show numerical evidences of its ability to account for large displacements/shear in a relatively simple way, avoiding some drawbacks of Lagrangian representation.

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We introduce an Eulerian model for the coupling of a fluid governed by the Navier– Stokes equations, with an immersed interface endowed with full membrane elasticity (i.e., including shear effects). We show numerical evidences of its ability to account for large displacements/shear in a relatively simple way, avoiding some drawbacks of Lagrangian representation.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We introduce an Eulerian model for the coupling of a fluid governed by the Navier– Stokes equations, with an immersed interface endowed with full membrane elasticity (i.e., including shear effects). We show numerical evidences of its ability to account for large displacements/shear in a relatively simple way, avoiding some drawbacks of Lagrangian representation.

Key concepts: Eulerian path, Elasticity (physics), Lagrangian, Shear (geology), Mechanics, Nonlinear elasticity, Representation (politics), Classical mechanics

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