Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An efficient algorithm for simulating ensembles of parameterized flow
  problems   Many applications of computational fluid dynamics require multiple
simulations of a flow under different input conditions. In this paper, a
numerical algorithm is developed to efficiently determine a set of such
simulations in which the individually independent members of the set are
subject to different viscosity coefficients, initial conditions, and/or body
forces. The proposed scheme applied to the flow ensemble leads to need to solve
a single linear system with multiple right-hand sides, and thus is
computationally more efficient than solving for all the simulations separately.
We show that the scheme is nonlinearly and long-term stable under certain
conditions on the time-step size and a parameter deviation ratio. Rigorous
numerical error estimate shows the scheme is of first-order accuracy in time
and optimally accurate in space. Several numerical experiments are presented to
illustrate the theoretical results.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph