Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Second Order Unconditionally Stable Schemes for a Phase-field
  Moving Contact Line Model Using Invariant Energy Quadratization Approach   We consider the numerical approximations for a phase field model consisting
of incompressible Navier--Stokes equations with a generalized Navier boundary
condition, and the Cahn-Hilliard equation with a dynamic moving contact line
boundary condition. A crucial and challenging issue for solving this model
numerically is the time marching problem, due to the high order, nonlinear, and
coupled properties of the system. We solve this issue by developing two linear,
second order accurate, and energy stable schemes based on the projection method
for the Navier--Stokes equations, the invariant energy quadratization for the
nonlinear gradient terms in the bulk and boundary, and a subtle
implicit-explicit treatment for the stress and convective terms. The
well-posedness of the semidiscretized system and the unconditional energy
stabilities are proved. Various numerical results based on a spectral-Galerkin
spatial discretization are presented to verify the accuracy and efficiency of
the proposed schemes.

3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
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The categories of this paper are: cs
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th