Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Novel Algorithm to Solve for an Underwater Line Source Sound Field
  Based on the Theory of Global Matrix Coupled Modes and the Chebyshev--Tau
  Spectral Method   High-precision numerical sound field is the basis of underwater target
detection, positioning and communication. A line source in the plane is a
common type of sound source in computational ocean acoustics, and the exciting
waveguide in a range-dependent marine environment is often structurally
complicated. However, traditional algorithms often assume that the waveguide
has a simple seabed boundary, and the line source is located at a horizontal
range of 0 m, which is an ideal and rare situation in the actual ocean. In this
paper, a novel algorithm is designed that can solve for the sound field
generated by a line source at any position in a range-dependent ocean
environment. The proposed algorithm uses the classic stepwise approximation to
address the range dependence of the environment and uses the Chebyshev--Tau
spectral method to solve for the horizontal wavenumbers and modes of
approximately range-independent segments. After obtaining the modal information
of flat segments, a global matrix is assembled to solve for the coupling
coefficients of all segments, and finally, a complete sound field is
synthesized. Numerical experiments using a robust numerical program we
developed based on this algorithm verify the correctness and usability of the
novel algorithm and software. Furthermore, a detailed analysis and test of the
computational cost of this algorithm show that it is extremely efficient.

24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph