Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-resolution lattice Green's function method for incompressible
  flows   We propose a multi-resolution strategy that is compatible with the lattice
Green's function (LGF) technique for solving viscous, incompressible flows on
unbounded domains. The LGF method exploits the regularity of a finite-volume
scheme on a formally unbounded Cartesian mesh to yield robust and
computationally efficient solutions. The original method is spatially adaptive,
but challenging to integrate with embedded mesh refinement as the underlying
LGF is only defined for a fixed resolution. We present an ansatz for adaptive
mesh refinement, where the solutions to the pressure Poisson equation are
approximated using the LGF technique on a composite mesh constructed from a
series of infinite lattices of differing resolution. To solve the
incompressible Navier-Stokes equations, this is further combined with an
integrating factor for the viscous terms and an appropriate Runge-Kutta scheme
for the resulting differential-algebraic equations. The parallelized algorithm
is verified through with numerical simulations of vortex rings, and the
collision of vortex rings at high Reynolds number is simulated to demonstrate
the reduction in computational cells achievable with both spatial and
refinement adaptivity.

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The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
21
The categories of this paper are: adap-org