Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy stable modeling of non-isothermal multi-component
  diffuse-interface two-phase flows with realistic equations of state   In this paper, we consider mathematical modeling and numerical simulation of
non-isothermal compressible multi-component diffuse-interface two-phase flows
with realistic equations of state. A general model with general reference
velocity is derived rigorously through thermodynamical laws and Onsager's
reciprocal principle, and it is capable of characterizing compressibility and
partial miscibility between multiple fluids. We prove a novel relation among
the pressure, temperature and chemical potentials, which results in a new
formulation of the momentum conservation equation indicating that the gradients
of chemical potentials and temperature become the primary driving force of the
fluid motion except for the external forces. A key challenge in numerical
simulation is to develop entropy stable numerical schemes preserving the laws
of thermodynamics. Based on the convex-concave splitting of Helmholtz free
energy density with respect to molar densities and temperature, we propose an
entropy stable numerical method, which solves the total energy balance equation
directly, and thus, naturally satisfies the first law of thermodynamics.
Unconditional entropy stability (the second law of thermodynamics) of the
proposed method is proved by estimating the variations of Helmholtz free energy
and kinetic energy with time steps. Numerical results validate the proposed
method.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph