Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Implementation of a Volume-of-Fluid Method in a Finite Element Code with
  Applications to Thermochemical Convection in a Density Stratified Fluid in
  the Earth's Mantle   We describe the implementation of a second-order accurate volume-of-fluid
interface tracking algorithm in the open source finite element code ASPECT,
which is designed to model convection in the Earth's mantle. This involves the
solution of the incompressible Stokes equations coupled to an advection
diffusion equation for the temperature, a Boussinesq approximation that governs
the dependence of the density on the temperature, and an advection equation for
a marker indicating the two initial density states. The volume-of-fluid method
is fully parallelized and is integrated with the adaptive mesh refinement
algorithm in ASPECT. We present the results of several standard interface
tracking benchmarks in order to demonstrate the accuracy of the method as well
as the results of several benchmarks commonly used in the computational mantle
convection community. Finally, we present the results of computations with and
without adaptive mesh refinement of a model problem involving thermochemical
convection in a computationally stratified fluid designed to provide insight
into how thermal plumes, that eventually reach the Earth's surface as ocean
island basalts, originate at structures on the core-mantle boundary known as
Large Low Shear wave Velocity Provinces.

20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin