Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hybrid LBM-FVM and LBM-MCM Methods for Fluid Flow and Heat Transfer
  Simulation   The fluid flow and heat transfer problems encountered in industry
applications span into different scales and there are different numerical
methods for different scales problems. It is not possible to use single scale
method to solve problems involving multiple scales. Multiscale methods are
needed to solve problems involving multiple scales. In this chapter,
meso-macro-multiscale methods are developed by combining various single scale
numerical methods, including lattice Boltzmann method (LBM), finite volume
method (FVM) and Monte Carlo method (MCM). Macroscale methods include FVM,
while LBM and MCM belongs to mesoscale methods. Two strategies exist in combing
these numerical methods. For the first one, the whole domain is divided into
multiple subdomains and different domains use various numerical methods.
Message passing among subdomains decides the accuracy of this type of
multiscale numerical method. For the second one, various parameters are solved
with different numerical methods. These two types of multiscale methods are
both discussed in this chapter.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an