Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard
  Equations   We consider a computational model for complex-fluid-solid interaction based
on a diffuse-interface model for the complex fluid and a hyperelastic-material
model for the solid. The diffuse-interface complex-fluid model is described by
the incompressible Navier-Stokes-Cahn-Hilliard equations with
preferential-wetting boundary conditions at the fluid-solid interface. The
corresponding fluid traction on the interface includes a capillary-stress
contribution, and the dynamic interface condition comprises the traction
exerted by the non-uniform fluid-solid surface tension. We present a weak
formulation of the aggregated complex-fluid-solid-interaction problem, based on
an Arbitrary-Lagrangian-Eulerian formulation of the Navier-Stokes-Cahn-Hilliard
equations and a proper reformulation of the complex-fluid traction and the
fluid-solid surface tension. To validate the presented
complex-fluid-solid-interaction model, we present numerical results and conduct
a comparison to experimental data for a droplet on a soft substrate.

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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg