@Article{CiCP-38-766,
author = {Qin , JianyuShen , YiqingCheng , Yi and Zhou , Biao},
title = {A Modified Characteristic-Wise WENO Reconstruction for Capturing the Contact Discontinuity in Multi-Component Flows},
journal = {Communications in Computational Physics},
year = {2025},
volume = {38},
number = {3},
pages = {766--790},
abstract = {<p style="text-align: justify;">The flux difference splitting (FDS) combined with the characteristic-wise
weighted essentially non-oscillatory (WENO) reconstruction in single-component flow
simulations is quite attractive and preferred for its better non-oscillatory feature near
discontinuities. However, when compressible multi-component flows are simulated,
the FDS with the characteristic-wise WENO reconstruction may cause spurious oscillations. In this work, we analyze the reason that the oscillations are generated.
A new method, which can effectively suppress this kind of spurious oscillations in
multi-component flows, is proposed by modifying the total energy in the process of
the WENO reconstruction. For example, in the fifth-order WENO reconstruction, on
the global stencil $S^5=(j−2,j−1,···,j+2)$ used to reconstruct the left-side value $U^L_{ j+1/2},$ the total energy values are first modified by using the reconstructed value of the specific heat ratio (i.e., $γ^L_{j+1/2},$ which can be directly reconstructed from the transport
equation of the mass fraction), and then the characteristic-wise WENO reconstruction
process is implemented. Numerical examples including several one-, two and three-dimensional multi-component flows confirm the effectiveness and robustness of the
proposed method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0138},
url = {http://global-sci.org/intro/article_detail/cicp/24315.html}
}