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  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekstrom, Jan Nordstrom
    2018-04-11
    41955 3617 pp. 456-468
  • Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

    Alina Chertock, Yongle Liu
    2019-12-07
    DOI:10.4208/cicp.OA-2018-0325
    45637 3396 pp. 480-502
  • Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems

    Xavier Blanc, Francois Hermeline, Emmanuel Labourasse, Julie Patela
    2023-09-04
    DOI:10.4208/cicp.OA-2023-0081
    34219 2755 pp. 456-502
  • Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

    Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0185
    44588 3183 pp. 1561-1584
  • A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

    Lei Xu, Rongliang Chen, Xiao-Chuan Cai
    2025-09-02
    DOI:10.4208/cicp.OA-2023-0019
    11846 889 pp. 547-574
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0309
    28111 2092 pp. 1073-1119
  • A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

    Xucheng Meng, Guanghui Hu
    2022-08-11
    DOI:10.4208/cicp.OA-2021-0143
    303197 3885 pp. 490-523 Open Access
  • Simulation of Three-Dimensional Free-Surface Flows Using Two-Dimensional Multilayer Shallow Water Equations

    Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun
    2020-05-06
    DOI:10.4208/cicp.OA-2019-0036
    50007 3635 pp. 1413-1442
  • A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

    Fatih Cevik, Kahraman Albayrak
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0014
    42319 3412 pp. 393-421
  • Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

    Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham
    2020-07-30
    DOI:10.4208/cicp.111013.120914a
    40501 3107 pp. 337-370
  • An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

    Yanlong Zhang, Jiming Wu
    2025-09-02
    DOI:10.4208/cicp.OA-2023-0213
    10271 593 pp. 783-809
  • A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes

    Yanlong Zhang
    2023-08-14
    DOI:10.4208/cicp.OA-2022-0307
    34657 3418 pp. 116-131
  • A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

    S. Kelbij Star, Giovanni Stabile, Francesco Belloni, Gianluigi Rozza, Joris Degroote
    2021-04-30
    DOI:10.4208/cicp.OA-2020-0059
    50208 4616 pp. 34-66
  • A Finite Volume Upwind-Biased Centred Scheme for Hyperbolic Systems of Conservation Laws: Application to Shallow Water Equations

    Guglielmo Stecca, Annunziato Siviglia, Eleuterio F. Toro
    2012-12-01
    DOI:10.4208/cicp.180511.071211a
    39983 4013 pp. 1183-1214
  • A Data-Driven Reconstruction for Unstructured Finite Volume Method on Multi-Dimensional Compressible Flows

    Jayeon Joo, Dongseok Kim, Hojun You, Chongam Kim
    2024-12-02
    DOI:10.4208/cicp.OA-2024-0063
    16042 1207 pp. 1307-1338
  • A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

    X. -M. He, T. Lin, Y. Lin
    2009-06-01
    39087 4335 pp. 185-202
  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2026-02-15
    DOI:10.4208/cicp.OA-2025-0124
    4088 200 pp. 387-416
  • High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

    Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen
    2025-09-05
    DOI:10.4208/cicp.OA-2025-0067
    3887 410 pp. 1089-1129
  • Application of the LS-STAG Immersed Boundary/ Cut-Cell Method to Viscoelastic Flow Computations

    Olivier Botella, Yoann Cheny, Farhad Nikfarjam, Marcela Stoica
    2018-04-04
    DOI:10.4208/cicp.080615.010216a
    40212 3193 pp. 870-901
  • A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case

    Xiaoteng Zhang, Xun Wang, Zhijun Shen, Chao Yang
    2025-04-27
    DOI:10.4208/cicp.OA-2024-0068
    9400 599 pp. 1120-1156
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0169
    42988 3752 pp. 189-221
  • The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

    Shamsul Qamar, Munshoor Ahmed, Ishtiaq Ali
    2012-12-01
    DOI:10.4208/cicp.210211.011111a
    40423 4255 pp. 1070-1095
  • Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

    Francois Hermeline
    2022-01-27
    DOI:10.4208/cicp.OA-2021-0084
    42943 3364 pp. 398-448
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan, Yahui Wang
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0254
    46446 3335 pp. 768-784
  • A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

    Philippe G. LeFloch, Hasan Makhlof
    2014-03-05
    DOI:10.4208/cicp.291212.160913a
    41685 4056 pp. 827-852
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    DOI:10.4208/cicp.OA-2022-0096
    42407 3169 pp. 1217-1239
  • Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

    Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen
    2023-04-28
    DOI:10.4208/cicp.OA-2022-0122
    32699 2970 pp. 849-883
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