A review on TVD schemes and a refined flux-limiter for steady-state calculations

D Zhang, C Jiang, D Liang, L Cheng - Journal of Computational Physics, 2015 - Elsevier
This paper presents an extensive review of most of the existing TVD schemes found in
literature that are based on the One-step Time–space-coupled Unsteady TVD criterion (OTU …

Direct numerical simulation of flow around a surface-mounted finite square cylinder at low Reynolds numbers

D Zhang, L Cheng, H An, M Zhao - Physics of Fluids, 2017 - pubs.aip.org
With the aid of direct numerical simulation, this paper presents a detailed investigation on
the flow around a finite square cylinder at a fixed aspect ratio (AR) of 4 and six Reynolds …

Compressive VOF method with skewness correction to capture sharp interfaces on arbitrary meshes

F Denner, BGM van Wachem - Journal of computational physics, 2014 - Elsevier
The accurate and efficient modelling of two-phase flows is at present mostly limited to
structured, unskewed meshes, due to the additional topological and numerical complexity of …

A refined volume-of-fluid algorithm for capturing sharp fluid interfaces on arbitrary meshes

D Zhang, C Jiang, D Liang, Z Chen, Y Yang… - Journal of Computational …, 2014 - Elsevier
This paper presents a new volume-of-fluid scheme (M-CICSAM), capable of capturing
abrupt interfaces on meshes of arbitrary topology, which is a modification to the compressive …

Flow around a surface-mounted finite circular cylinder completely submerged within the bottom boundary layer

D Zhang, L Cheng, H An, S Draper - European Journal of Mechanics-B …, 2021 - Elsevier
This paper presents a detailed investigation on the flow characteristics and the bed-shear-
stress distribution around a finite circular cylinder at a fixed Reynolds number (Re= 2× 10 4) …

Comparison of various turbulence models for unsteady flow around a finite circular cylinder at Re= 20000

D Zhang - Journal of Physics: Conference Series, 2017 - iopscience.iop.org
This paper compares the performance of eight Reynolds-Averaged Navier–Stokes (RANS)
two-equation turbulence models and two sub-grid scale (SGS) large eddy simulation (LES) …

[HTML][HTML] TVD differencing on three-dimensional unstructured meshes with monotonicity-preserving correction of mesh skewness

F Denner, BGM van Wachem - Journal of Computational Physics, 2015 - Elsevier
Total variation diminishing (TVD) schemes are a widely applied group of monotonicity-
preserving advection differencing schemes for partial differential equations in numerical …

Modified far-upwind reconstruction methods for the implementation of NVSF schemes on unstructured grids

Y Deng, Y Liu, D Zhang, J Wu… - Numerical Heat Transfer …, 2023 - Taylor & Francis
Based on the analysis of the existing far-upwind reconstruction methods, three modified far-
upwind reconstruction methods, named as NM-1, NM-2 and NM-3, are developed for the …

A finite volume scheme for unsteady linear and nonlinear convection-diffusion-reaction problems

M Xu - International Communications in Heat and Mass …, 2022 - Elsevier
In the present work, a finite volume scheme (FVS) for simulating spatiotemporal patterns in
tubular reactors is proposed without increasing the size of the stencil of the classical finite …

A modified switching technique for advection and capturing of surfaces

C Anghan, MH Bade, J Banerjee - Applied Mathematical Modelling, 2021 - Elsevier
An interface capturing scheme called modified switching technique for advection and
capturing of surfaces (MSTACS) has been proposed. The proposed interface capturing …