Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new shock-capturing scheme for stiff detonation waves problems   A new approach to prevent spurious behavior caused by conventional
shock-capturing schemes when solving stiff detonation waves problems is
introduced in the present work. Due to smearing of discontinuous solution by
the excessive numerical dissipation, conventional shock-capturing schemes have
difficulties to obtain the correct location of detonation front without enough
grids resolution. To overcome the excessive numerical errors around
discontinuities by traditional discretized schemes used in non-reacting high
speed compressible flow, we introduce a new shock-capturing scheme in which
besides linear function constructed by MUSCL (Monotone Upstream-centered
Schemes for Conservation Law) scheme, a step like THINC (Tangent of Hyperbola
for INterface Capturing) function is also employed as another candidate in the
reconstruction process. The final reconstruction function is determined by
boundary variation diminishing (BVD) algorithm by which numerical dissipation
around discontinuities can be reduced significantly. The new resulted
shock-capturing scheme is named MUSCL-THINC-BVD. One- and two-dimensional
comparative numerical tests about stiff detonation waves problems are conducted
with the 5th order WENO (Weighted Essentially Non-Oscillatory) and
MUSCL-THINC-BVD scheme respectively, which show MUSCL-THINC-BVD scheme can
capture the correct position of detonation waves with improved resolution while
WENO scheme, in spite of higher order, produces spurious waves. Compared with
other existing methods which involves extra treatments by accepting the smeared
out discontinuities profiles, the current method obtain the correct but also
sharp detonation front by fundamentally reducing numerical dissipation errors
from shock-capturing schemes. Thus the proposed approach is an effective but
simple method to solve stiff detonation problems.

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The categories of this paper are: hep-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn