Search Results

• A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

  Jie Xu, Xiaotian Yang, Zhiguo Yang

  2024-03-13

  26432 2244 Pages:369-394

• Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

  Jiajie Li, Shengfeng Zhu

  2025-08-08

  4700 524 Pages:404-438

• Advection-Enhanced Gradient Vector Flow for Active-Contour Image Segmentation

  Po-Wen Hsieh, Pei-Chiang Shao & Suh-Yuh Yang

  2019-02-25

  46193 4945 Pages:206-232

• A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets

  Amanda E. Diegel & Shawn W. Walker

  2018-09-01

  46881 5398 Pages:155-188

• A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications

  Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi

  2022-08-11

  302167 3343 Pages:450-489

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28384 1992 Pages:1263-1286

• Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

  Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun

  2026-01-03

  1794 126 Pages:815-854

• Immersed Boundary-Lattice Boltzmann Coupling Scheme for Fluid-Structure Interaction with Flexible Boundary

  Yongguang Cheng, Hui Zhang & Chang Liu

  2020-07-21

  39026 3750 Pages:1375-1396

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  33101 3232 Pages:132-172

• Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets

  Karun P. N. Datadien, Gianluca Di Staso, Christian Diddens, Herman M. A. Wijshoff, Federico Toschi

  2023-04-28

  33485 2824 Pages:912-936

• A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49161 4953730 Pages:227-254

• Development of a High-Resolution Scheme for Solving the PNP-NS Equations in Curved Channels

  Tony W. H. Sheu, Yogesh G. Bhumkar, S. T. Yuan & S. C. Syue

  2018-04-03

  41711 3221 Pages:496-533

• Extended Thermodynamic Approach for Non-Equilibrium Gas Flow

  G H. Tang, G. X. Zhai, W. Q. Tao, X. J. Gu & D. R. Emerson

  2013-05-05

  40211 4111 Pages:1330-1356

• Numerical Investigation of Tumbling Phenomena Based on a Macroscopic Model for Hydrodynamic Nematic Liquid Crystals

  Hui Zhang & Qichuan Bai

  2018-03-24

  38238 3914 Pages:317-332

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  9276 535 Pages:921-941

• A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

  José A. Carrillo, Alina Chertock, Yanghong Huang

  2018-04-02

  42015 4550 Pages:233-258

• Numerical Stability Analysis for a Stationary and Translating Droplet at Extremely Low Viscosity Values Using the Lattice Boltzmann Method Color-Gradient Multi-Component Model with Central Moments Formulation

  Karun P. N. Datadien, Gianluca Di Staso, Federico Toschi

  2023-02-20

  43365 3471 Pages:330-348

• A New Weak Galerkin Finite Element Scheme for the Brinkman Model

  Qilong Zhai, Ran Zhang & Lin Mu

  2020-07-31

  40714 3350 Pages:1409-1434

• Effect of Oscillation Structures on Inertial-Range Intermittence and Topology in Turbulent Field

  Kun Yang, Zhenhua Xia, Yipeng Shi & Shiyi Chen

  2018-04-03

  40176 4676 Pages:251-272

• An Immersed Interface Method for the Simulation of Inextensible Interfaces in Viscous Fluids

  Zhijun Tan, D. V. Le, K. M. Lim & B. C. Khoo

  2012-11-01

  42415 4077 Pages:925-950

• Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions

  Fang Feng, Hui Yang, Shengfeng Zhu

  2025-08-23

  6418 440 Pages:850-886

• Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

  Bo Wang, Wenzhong Zhang, Wei Cai

  2020-11-18

  64332 3316 Pages:2139-2157

• An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

  Zhijun Tan, K. M. Lim & B. C. Khoo

  2011-10-01

  39610 4428 Pages:1333-1362

• A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

  Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li

  2024-05-06

  37477 2925 Pages:859-904

• Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well

  Siwei Duo & Yanzhi Zhang

  2018-04-03

  39101 3123 Pages:321-350

• A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems

  Weizhu Bao & Ming-Huang Chai

  2008-04-01

  38611 4126 Pages:135-160

• An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

  Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing

  2024-01-31

  28786 2534 Pages:107-138