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20132025
most citedHybrid-order Poincaré sphere

252 citations

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6 papers · 1 filter

math.NA2023★ 4 cited

An Unconditionally Energy-Stable and Orthonormality-Preserving Iterative Scheme for the Kohn-Sham Gradient Flow Based Model

Xiuping Wang, Huangxin Chen, Jisheng Kou +1

We propose an unconditionally energy-stable, orthonormality-preserving, component-wise splitting iterative scheme for the Kohn-Sham gradient flow based model in the electronic stru…

math.NA2018★ 26 cited

Entropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state

Jisheng Kou, Shuyu Sun

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations…

math.NA2017★ 3 cited

Linearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow

Jisheng Kou, Shuyu Sun, Xiuhua Wang

In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component two-phase compressible flow with a realistic equation of sta…

math.NA2017★ 37 cited

Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state

Jisheng Kou, Shuyu Sun

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the tempe…

math.NA2016★ 3 cited

Thermodynamically consistent modeling and simulation of multi-component two-phase flow model with partial miscibility

Jisheng Kou, Shuyu Sun

A general diffuse interface model with a realistic equation of state (e.g. Peng-Robinson equation of state) is proposed to describe the multi-component two-phase fluid flow based o…

math.NA2013★ 7 cited

Numerical Modeling of Nanoparticles Transport with Two-Phase Flow in Porous Media Using Iterative Implicit Method

M. F. El-Amin, Jisheng Kou, Shuyu Sun +1

In this paper, we introduce a mathematical model to describe the nanoparticles transport carried by a two-phase flow in a porous medium including gravity, capillary forces and Brow…