Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient Based Reconstruction: Inviscid and viscous flux
  discretizations, shock capturing, and its application to single and
  multicomponent flows   This paper presents a gradient-based reconstruction approach for simulations
of compressible single and multi-species Navier-Stokes equations. The novel
feature of the proposed algorithm is the efficient reconstruction via
derivative sharing between the inviscid and viscous schemes: highly accurate
explicit and implicit gradients are used for the solution reconstruction
expressed in terms of derivatives. The higher-order accurate gradients of the
flow variables (density, pressure and velocity components) are reused to
compute the viscous fluxes for efficiency and significantly improve the
solution and gradient quality, as demonstrated by several viscous-flow test
cases. The viscous schemes are fourth-order accurate and carefully designed
with a high-frequency damping property, which has been identified as a
critically important property for stable compressible-flow simulations with
shock waves [Chamarthi et al., JCP, 2022]. Shocks and material discontinuities
are captured using a monotonicity-preserving (MP) scheme, which is also
improved by reusing the gradients. Several numerical results obtained for
simulations of complex viscous flows are presented to demonstrate the accuracy
and robustness of the proposed methodology.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin