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  • 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
    DOI:10.4208/cicp.OA-2023-0191
    26533 2290 pp. 369-394
  • Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

    Jiajie Li, Shengfeng Zhu
    2025-08-08
    DOI:10.4208/cicp.OA-2024-0290
    4862 564 pp. 404-438
  • Advection-Enhanced Gradient Vector Flow for Active-Contour Image Segmentation

    Po-Wen Hsieh, Pei-Chiang Shao, Suh-Yuh Yang
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0068
    46288 5018 pp. 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
    DOI:10.4208/cicp.OA-2017-0166
    47006 5509 pp. 155-188
  • Gas-Kinetic Unified Algorithm for Multi-Component Monatomic Gas Mixture

    Fan Li, Zhi-Hui Li
    2026-05-01
    DOI:10.4208/cicp.OA-2024-0295
    222 42 pp. 1454-1478
  • 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
    DOI:10.4208/cicp.OA-2021-0204
    302271 3372 pp. 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
    DOI:10.4208/cicp.OA-2023-0315
    28525 2038 pp. 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
    DOI:10.4208/cicp.OA-2023-0254
    2071 176 pp. 815-854
  • Immersed Boundary-Lattice Boltzmann Coupling Scheme for Fluid-Structure Interaction with Flexible Boundary

    Yongguang Cheng, Hui Zhang, Chang Liu
    2020-07-21
    DOI:10.4208/cicp.301009.211210s
    39111 3791 pp. 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
    DOI:10.4208/cicp.OA-2023-0021
    33226 3390 pp. 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
    DOI:10.4208/cicp.OA-2022-0181
    33615 2850 pp. 912-936
  • A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

    Weiyi Wang, Zhijun Tan
    2021-04-30
    DOI:10.4208/cicp.OA-2020-0137
    49254 4953849 pp. 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
    DOI:10.4208/cicp.230914.040615a
    41796 3256 pp. 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
    DOI:10.4208/cicp.301011.180512a
    40289 4137 pp. 1330-1356
  • Numerical Investigation of Tumbling Phenomena Based on a Macroscopic Model for Hydrodynamic Nematic Liquid Crystals

    Hui Zhang, Qichuan Bai
    2018-03-24
    DOI:10.4208/cicp.2009.08.206
    38326 3939 pp. 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
    DOI:10.4208/cicp.OA-2024-0053
    9430 588 pp. 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
    DOI:10.4208/cicp.160214.010814a
    42142 4619 pp. 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
    DOI:10.4208/cicp.OA-2022-0053
    43479 3548 pp. 330-348
  • A New Weak Galerkin Finite Element Scheme for the Brinkman Model

    Qilong Zhai, Ran Zhang, Lin Mu
    2020-07-31
    DOI:10.4208/cicp.scpde14.44s
    40810 3393 pp. 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
    DOI:10.4208/cicp.120515.280815a
    40257 4753 pp. 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
    DOI:10.4208/cicp.200110.040511a
    42494 4114 pp. 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
    DOI:10.4208/cicp.OA-2024-0111
    6568 504 pp. 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
    DOI:10.4208/cicp.OA-2020-0192
    64576 3363 pp. 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
    DOI:10.4208/cicp.161009.220211a
    39707 4458 pp. 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
    DOI:10.4208/cicp.RE-2023-0066
    37610 2967 pp. 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
    DOI:10.4208/cicp.300414.120215a
    39196 3164 pp. 321-350
  • A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems

    Weizhu Bao, Ming-Huang Chai
    2008-04-01
    38678 4189 pp. 135-160
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