Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Increasing stability and accuracy of the lattice Boltzmann scheme:
  recursivity and regularization   In the present paper a lattice Boltzmann scheme is presented which exhibits
an increased stability and accuracy with respect to standard single- or
multi-relaxation-time (MRT) approaches. The scheme is based on a
single-relaxation-time model where a special regularization procedure is
applied. This regularization is based on the fact that, for a-thermal flows,
there exists a recursive way to express the velocity distribution function at
any order (in the Hermite series sense) in terms of the density, velocity, and
stress tensor. A linear stability analysis is conducted which shows enhanced
dispersion/dissipation relations with respect to existing models. The model is
then validated on two (one 2D and one 3D) moderately high Reynolds number
simulations ($\mathrm{Re}\sim 1000$) at moderate Mach numbers ($\mathrm{Ma}\sim
0.5$). In both cases the results are compared with an MRT model and an enhanced
accuracy and stability is shown by the present model.

35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat