141 citations · 278 across the 24 of their papers we have counts for
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physics.comp-ph2018★ 1 cited
Constructing high-order discontinuity-capturing schemes with linear-weight polynomials and boundary variation diminishing algorithm
Xi Deng, Yuya Shimizu, Feng Xiao
In this study, a new framework of constructing very high order discontinuity-capturing schemes is proposed for finite volume method. These schemes, so-called $\mathrm{P}_{n}\mathrm…
physics.comp-ph2018
A fifth-order shock capturing scheme with BVD algorithm
Xi Deng, Yuya Shimizu, Feng Xiao
A novel 5th-order shock capturing scheme is presented in this paper. The scheme, so-called P4-THINC-BVD (4th degree polynomial and THINC reconstruction based on BVD algorithm), is…
physics.comp-ph2018★ 60 cited
Coupled THINC and level set method: a conservative interface capturing scheme with arbitrary-order surface representations
Longgen Qian, Yanhong Wei, Feng Xiao
In this paper, we propose a simple and accurate numerical method for capturing moving interfaces on fixed Eulerian grids by coupling the Tangent of Hyperbola Interface Capturing (T…