Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An immersed boundary method for solving compressible flow with
  arbitrarily irregular and moving geometry   In this paper, a novel immersed boundary method is developed, validated, and
applied. Through devising a second-order three-step flow reconstruction scheme,
the proposed method is able to enforce the Dirichlet, Neumann, Robin, and
Cauchy boundary conditions in a straightforward and consistent manner. Equipped
with a fluid-solid coupling framework that integrates high-order temporal and
spatial discretization schemes, numerical experiments concerning flow involving
stationary and moving objects, convex and concave geometries, no-slip and slip
wall boundary conditions, as well as subsonic and supersonic motions are
conducted to validate the method. It is demonstrated that the proposed method
can provide efficient, accurate, and robust boundary treatment for solving flow
with arbitrarily irregular and moving geometries on Cartesian grids.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio