activity
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

collaborators

24 papers

math.AP2022

Local Well-posedness of Unsteady Potential Flows Near a Space Corner of Right Angle

Beixiang Fang, Wei Xiang, Feng Xiao

In this paper we are concerned with the local well-posedness of the unsteady potential flows near a space corner of right angle, which could be formulated as an initial-boundary va…

physics.ao-ph2022

A nonhydrostatic atmospheric dynamical core on cubed sphere using hybrid multi-moment finite-volume/finite difference methods: formulations and preliminary tests

Chungang Chen, Xingliang Li, Feng Xiao +1

A nonhydrostatic dynamical core has been developed by using the multi-moment finite volume method that ensures the rigorous numerical conservation. To represent the spherical geome…

math.AP2021

Persistence of the steady planar normal shock structure in 3-D unsteady potential flows

Beixiang Fang, Feimin Huang, Wei Xiang +1

This paper concerns the dynamic stability of the steady 3-D wave structure of a planar normal shock front intersecting perpendicularly to a planar solid wall for unsteady potential…

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…

physics.comp-ph2020

A new paradigm of dissipation-controllable, multi-scale resolving schemes for compressible flows

Xi Deng, Zhen-hua Jiang, Peter Vincent +2

The scale-resolving simulation of high speed compressible flow through direct numerical simulation (DNS) or large eddy simulation (LES) requires shock-capturing schemes to be more…