Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positivity-Preserving Entropy-Based Adaptive Filtering for Discontinuous
  Spectral Element Methods   In this work, we present a positivity-preserving entropy-based adaptive
filtering method for shock capturing in discontinuous spectral element methods.
By adapting the filter strength to enforce positivity and a local discrete
minimum entropy principle, the resulting approach can robustly resolve strong
discontinuities with sub-element resolution, does not require problem-dependent
parameter tuning, and can be easily implemented on general unstructured meshes
with relatively low computational cost. The efficacy of the approach is shown
in numerical experiments on hyperbolic and mixed hyperbolic-parabolic
conservation laws such as the Euler and Navier-Stokes equations for problems
including extreme shocks, shock-vortex interactions, and complex compressible
turbulent flows.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an