X Deng, Y Shimizu, F Xiao - Journal of Computational Physics, 2019 - Elsevier
A novel 5th-order shock capturing scheme is presented in this paper. The scheme, so-called P 4 T 2− BVD (polynomial of 4-degree and THINC function of 2-level reconstruction based …
B Re, R Abgrall - … Journal for Numerical Methods in Fluids, 2022 - Wiley Online Library
Within the framework of diffuse interface methods, we derive a pressure‐based Baer– Nunziato type model well‐suited to weakly compressible multiphase flows. The model can …
Fourier analysis based optimization techniques have been developed for numerical schemes on structured grids and result in significant performance improvements. However …
The current paper is an improvement of the developed technique in Shu et al.(2005). The proposed improvement is to reduce the used CPU time for employing the local radial basis …
L Cheng, X Deng, B Xie, Y Jiang, F Xiao - Journal of Computational …, 2021 - Elsevier
Solving compressible flows containing both smooth and discontinuous flow structures still remains a big challenge for finite volume methods, especially on unstructured grids where …
Q Li, K Yokoi, Z Xie, S Omar, J Xue - Physics of Fluids, 2021 - pubs.aip.org
First, a new reconstruction strategy is proposed to improve the accuracy of the fifth-order weighted essentially non-oscillatory (WENO) scheme. It has been noted that conventional …
X Ji, F Zhao, W Shyy, K Xu - AIAA Journal, 2021 - arc.aiaa.org
A third-order compact gas-kinetic scheme is proposed for three-dimensional compressible flow computations. The new scheme is based on three key ingredients: the time-accurate …
H Wakimura, S Takagi, F Xiao - Computers & Fluids, 2022 - Elsevier
A class of high-order shock-capturing schemes, P n T m-BVD (Deng et al., 2019; Deng et al., 2020) schemes, have been devised to solve the Euler equations with substantially reduced …
In this paper, we present a novel hybrid nonlinear explicit-compact scheme for shock- capturing based on a boundary variation diminishing (BVD) reconstruction. In our approach …