default author photo

Zhenhua Chai

Huazhong University of Science and Technology - School of Mathematics and Statistics

China

SCHOLARLY PAPERS

12

DOWNLOADS

638

TOTAL CITATIONS

4

Scholarly Papers (12)

Regularized Lattice Boltzmann Method Based Maximum Principle and Energy Stability Preserving Finite-Difference Scheme for the Allen-Cahn Equation

Number of pages: 33 Posted: 04 Jan 2024
Ying Chen, Xi Liu, Zhenhua Chai and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 57 (1,017,159)

Abstract:

Loading...

Regularized lattice Boltzmann method, maximum principle, energy stability, finite-difference scheme, Allen-Cahn equation

Regularized Lattice Boltzmann Method Based Maximum Principle and Energy Stability Preserving Finite-Difference Scheme for the Allen-Cahn Equation

Number of pages: 20 Posted: 04 Sep 2024
Ying Chen, Zhenhua Chai, Xi Liu and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics, Huazhong University of Science and Technology and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 54 (1,038,620)

Abstract:

Loading...

Regularized lattice Boltzmann method, maximum principle, energy stability, finite-difference scheme, Allen-Cahn equation

A Consistent and Conservative Axisymmetric Lattice Boltzmann Method for Multiphase Electro-Hydrodynamic Flows

Number of pages: 25 Posted: 12 Sep 2023
Xi Liu, Zhenhua Chai, Baochang Shi and Xiaolei Yuan
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics, Huazhong University of Science and Technology - School of Mathematics and Statistics and Hebei University
Downloads 64 (938,792)

Abstract:

Loading...

phase field, axisymmetric lattice Boltzmann method, multiphase electro-hydrodynamic flows

A Consistent and Conservative Axisymmetric Lattice Boltzmann Method for Multiphase Electro-Hydrodynamic Flows

Number of pages: 23 Posted: 25 Apr 2024
Xi Liu, Zhenhua Chai, Baochang Shi and Xiaolei Yuan
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics, Huazhong University of Science and Technology - School of Mathematics and Statistics and Hebei University
Downloads 40 (1,210,354)

Abstract:

Loading...

Phase field, axisymmetric lattice Boltzmann method, multiphase electro-hydrodynamic flows

3.

A Phase-Field-Based Diffuse-Domain Method for Two-Phase Electro-Hydrodynamic Flows in Complex Geometries

Number of pages: 23 Posted: 11 Sep 2024
Xi Liu, Chengjie Zhan, Zhenhua Chai and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 69 (883,195)

Abstract:

Loading...

phase field, diffuse-domain model, lattice Boltzmann method, dielectric wetting

4.

Diffuse-interface modeling and simulation of the containerless freezing of binary fluids with the Marangoni effect

Number of pages: 32 Posted: 05 Jan 2026
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics, Huazhong University of Science and Technology and Huazhong University of Science and Technology
Downloads 64 (933,592)

Abstract:

Loading...

Freezing, Marangoni flow, phase-field method, lattice Boltzmann method

5.

A Phase-Field-Based Multiple-Relaxation-Time Lattice Boltzmann Method for Incompressible Multiphase Flows with Density and Viscosity Contrasts

Number of pages: 44 Posted: 02 Sep 2022
Hebei University, Huazhong University of Science and Technology, Southern University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 63 (933,592)

Abstract:

Loading...

Lattice Boltzmann method, incompressible multiphase flow, multiple-relaxation-time, large density ratio

6.

Consistent and Conservative Phase-Field Based Lattice Boltzmann Method for Incompressible Two-Phase Flows

Number of pages: 23 Posted: 08 Nov 2021
Chengjie Zhan, Zhenhua Chai and Baochang Shi
Huazhong University of Science and Technology - School of Mathematics and Statistics, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 63 (933,592)
Citation 2

Abstract:

Loading...

Consistent and conservative phase-field model, lattice Boltzmann method, two-phase flows

7.

The Macroscopic Finite-Difference Scheme and Modified Equations of the General Propagation Multiple-Relaxation-Time Lattice Boltzmann Model

Number of pages: 45 Posted: 20 Oct 2023
Ying Chen, Zhenhua Chai, Xi Liu and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics, Huazhong University of Science and Technology and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 43 (1,145,425)

Abstract:

Loading...

general propagation multiple-relaxation-time lattice Boltzmann model, finite-difference scheme, modified equations, Maxwell iteration method

8.

A fourth-order lattice Boltzmann model for multi-dimensional transport equations

Number of pages: 28 Posted: 13 Oct 2025
Ying Chen, Zhenhua Chai and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 35 (1,249,711)

Abstract:

Loading...

Lattice Boltzmann method, transport equations, entropy stability, L2 stability

9.

Freezing Dynamics of Wetting Droplet Under a Uniform Electric Field

Number of pages: 19 Posted: 22 Oct 2024
Huazhong University of Science and Technology, affiliation not provided to SSRN, affiliation not provided to SSRN, Huazhong University of Science and Technology - School of Mathematics and Statistics, affiliation not provided to SSRN and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 33 (1,277,121)

Abstract:

Loading...

Solid-liquid phase change, electrohydrodynamic, multiphase flow, Lattice Boltzmann method

10.

A General Fourth-Order Mesoscopic Multiple-Relaxation-Time Lattice Boltzmann Model and Equivalent Macroscopic Finite-Difference Scheme for Two-Dimensional Diffusion Equations

Number of pages: 35 Posted: 15 Jun 2023
Ying Chen, Zhenhua Chai and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 32 (1,290,922)
Citation 2

Abstract:

Loading...

lattice Boltzmann method, finite-difference scheme, diffusion equations

11.

A Fourth-Order and $L^2$-Stable Lattice Boltzmann Model for Diagonal-Anisotropic Diffusion Equations

Number of pages: 25 Posted: 12 Aug 2025
Ying Chen, Zhenhua Chai and Baochang Shi
Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology - School of Mathematics and Statistics
Downloads 14 (1,509,872)

Abstract:

Loading...

Lattice Boltzmann model, stability structure, $L^2$ stability, diagonal-anisotropic diffusion equation

12.

A diffuse-interface method for the containerless freezing of three-phase flows in complex geometries

Number of pages: 71 Posted: 10 Feb 2026
Huazhong University of Science and Technology, Huazhong University of Science and Technology, Huazhong University of Science and Technology - School of Mathematics and Statistics and Huazhong University of Science and Technology
Downloads 7 (1,561,096)

Abstract:

Loading...

Freezing, volume change, Diffuse-interface model, Lattice Boltzmann method