Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Fast Potential and Self-Gravity Solver for Non-Axisymmetric Disks   Disk self-gravity could play an important role in the dynamic evolution of
interaction between disks and embedded protoplanets. We have developed a fast
and accurate solver to calculate the disk potential and disk self-gravity
forces for disk systems on a uniform polar grid. Our method follows closely the
method given by Chan et al. (2006), in which an FFT in the azimuthal direction
is performed and a direct integral approach in the frequency domain in the
radial direction is implemented on a uniform polar grid. This method can be
very effective for disks with vertical structures that depend only on the disk
radius, achieving the same computational efficiency as for zero-thickness
disks. We describe how to parallelize the solver efficiently on distributed
parallel computers. We propose a mode-cutoff procedure to reduce the parallel
communication cost and achieve nearly linear scalability for a large number of
processors. For comparison, we have also developed a particle-based fast
tree-code to calculate the self-gravity of the disk system with vertical
structure. The numerical results show that our direct integral method is at
least two order of magnitudes faster than our optimized tree-code approach.

23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ