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  • An Improved Pressure-Equilibrium Diffuse Interface Model for Solid-Fluid Interaction

    Li Li, Qian Chen, Zhiwei He, Yousheng Zhang, Baolin Tian
    2019-12-07
    48282 3166 Pages:546-568
  • Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

    Francois Hermeline
    2022-01-27
    42943 3364 Pages:398-448
  • An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

    Shuai Su, Huazhong Tang, Jiming Wu
    2021-05-25
    48871 3170 Pages:448-485
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    45869 3383 Pages:747-766
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49340 3069 Pages:1609-1638
  • A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

    Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng
    2020-02-23
    47570 3264 Pages:1201-1233
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan, Yahui Wang
    2019-04-28
    46446 3335 Pages:768-784
  • Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

    Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg, Friedrich K. Roepke
    2019-04-04
    49806 3404 Pages:599-630
  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao, Huaxiong Huang
    2019-04-04
    47063 3488 Pages:389-412
  • Simulation of Turbulent Flows Using a Finite-Volume Based Lattice Boltzmann Flow Solver

    Goktan Guzel, Ilteris Koc
    2018-04-02
    42589 4595 Pages:213-232
  • Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

    Yahui Wang, Ming Xie, Yu Ma
    2019-01-10
    46646 3909 Pages:1446-1468
  • Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation

    Yifan Xia, Gaofeng Wang, Yao Zheng, Tingwei Ji, Ching Y. Loh
    2018-09-17
    46358 3262 Pages:791-809
  • A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

    Lei Xu, Rongliang Chen, Xiao-Chuan Cai
    2025-09-02
    11846 889 Pages:547-574
  • A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Analog and Collision Estimators

    Bert Mortier, Martine Baelmans, Giovanni Samaey
    2025-01-22
    15866 1017 Pages:104-136
  • A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime

    Tuba Ceylan, Philippe G. LeFloch, Baver Okutmustur
    2018-08-21
    47055 3272 Pages:500-519
  • Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

    Tian Liang, Lin Fu
    2024-05-06
    35549 2753 Pages:938-972
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31243 2715 Pages:955-992
  • A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

    Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li
    2024-01-31
    30326 2766 Pages:239-272
  • New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method

    Xiang Wang, Yuqing Zhang, Zhimin Zhang
    2023-06-06
    38914 2940 Pages:1332-1356
  • Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

    Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez
    2023-10-07
    35466 2862 Pages:713-748
  • A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

    Pascal Jacq, Pierre-Henri Maire, Remi Abgrall
    2014-10-08
    42512 4200 Pages:841-891
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphael Loubere, Michael Dumbser, Steven Diot
    2014-12-08
    39691 3901 Pages:718-763
  • Finite Volume Hermite WENO Schemes for Solving the Hamilton-Jacobi Equation

    Jun Zhu, Jianxian Qiu
    2020-07-31
    42317 4644 Pages:959-980
  • A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

    Philippe G. LeFloch, Hasan Makhlof
    2014-03-05
    41685 4056 Pages:827-852
  • Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

    Praveen Chandrashekar
    2013-11-05
    40487 4478 Pages:1252-1286
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri, Michael Dumbser
    2013-11-05
    40600 3991 Pages:1174-1206
  • Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2024-10-29
    21985 1238 Pages:877-907
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