Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate Gaussian extended quadrature method of moments for
  turbulent disperse multiphase flow   The present contribution introduces a fourth-order moment formalism for
particle trajectory crossing (PTC) in the framework of multiscale modeling of
disperse multiphase flow. In our previous work, the ability to treat PTC was
examined with direct-numerical simulations (DNS) using either quadrature
reconstruction based on a sum of Dirac delta functions denoted as
Quadrature-Based Moment Methods (QBMM) in order to capture large scale
trajectory crossing, or by using low order hydrodynamics closures in the
Levermore hierarchy denoted as Kinetic-Based Moment Methods (KBMM) in order to
capture small scale trajectory crossing. Whereas KBMM leads to well-posed PDEs
and has a hard time capturing large scale trajectory crossing for particles
with enough inertia, QBMM based on a discrete reconstruction suffers from
singularity formation and requires too many moments in order to capture the
effect of PTC at both small scale and large scale both to small-scale
turbulence as well as free transport coupled to drag in an Eulerian mesoscale
framework. The challenge addressed in this work is thus twofold: first, to
propose a new generation of method at the interface between QBMM and KBMM with
less singular behavior and the associated proper mathematical properties, which
is able to capture both small scale and large scale trajectory crossing, and
second to limit the number of moments used for applicability in 2-D and 3-D
configurations without losing too much accuracy in the representation of
spatial fluxes. In order to illustrate its numerical properties, the proposed
Gaussian extended quadrature method of moments (Gaussian-EQMOM) is applied to
solve 1-D and 2-D kinetic equations representing finite-Stokes-number particles
in a known turbulent fluid flow.

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The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas