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20002022
most citedBoundary Variation Diminishing (BVD) reconstruction: a new approach to improve Godunov scheme

141 citations · 278 across the 24 of their papers we have counts for

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5 papers · 1 filter

math.NA2021

Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle

Hiro Wakimura, Shinichi Takagi, Feng Xiao

A class of high-order shock-capturing schemes, PT-BVD (Deng et al., J. Comp. Phys., 386:323-349, 2019; Comput. & Fluids, 200:104433, 2020.) schemes, have been devised to so…

math.NA2021★ 33 cited

THINC scaling method that bridges VOF and level set schemes

Ronit Kumar, Lidong Cheng, Yunong Xiong +3

We present a novel interface-capturing scheme, THINC-scaling, to unify the VOF (volume of fluid) and the level set methods, which have been developed as two different approaches wi…

math.NA2019★ 2 cited

THINC-scaling scheme that unifies VOF and level set methods

Ronit Kumar, Lidong Cheng, Bin Xie +1

We present a novel interface-capturing scheme, THINC-scaling, to unify the VOF (volume of fluid) and the level set methods, which have been developed as two completely different ap…

math.NA2017★ 1 cited

Some practical versions of boundary variation diminishing (BVD) algorithm

Xi Deng, Bin Xie, Feng Xiao

This short note presents some variant schemes of boundary variation diminishing (BVD) algorithm in one dimension with the results of numerical tests for linear advection equation t…

math.NA2016★ 1 cited

A note on implementation of boundary variation diminishing algorithm to high-order local polynomial-based schemes

Yoshiaki Abe, Ziyao Sun, Feng Xiao

A novel approach for selecting appropriate reconstructions is implemented to the hyperbolic conservation laws in the high-order local polynomial-based framework, e.g., the disconti…