Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hermite spectral method for multi-species Boltzmann equation   We introduce a numerical scheme for the full multi-species Boltzmann equation
based on Hermite spectral method. With the proper choice of expansion centers
for different species, a practical algorithm is derived to evaluate the
complicated multi-species binary collision operator. New collision models are
built by combining the quadratic collision model and the simple BGK collision
model under the framework of the Hermite spectral method, which enables us to
balance the computational cost and accuracy. Several numerical experiments are
implemented to validate the dramatic efficiency of this new Hermite spectral
method. Moreover, we can handle the problems with as many as 100 species, which
is far beyond the capability of the state-of-art algorithms.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat