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  • The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

    Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang
    2025-07-11
    5033 504 Pages:37-73
  • 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
    49959 4457 Pages:34-66
  • IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

    Georgij Bispen, K. R. Arun, Mária Lukáčová-Medvid'ová & Sebastian Noelle
    2014-08-03
    42283 3980 Pages:307-347
  • 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
    47381 3203 Pages:1201-1233
  • 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. Röpke
    2019-04-04
    49579 3340 Pages:599-630
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan & Kun Xu
    2013-09-05
    40547 4586 Pages:599-620
  • Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

    Jun Zhu & Jianxian Qiu
    2012-11-01
    42437 4136 Pages:985-1005
  • Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows

    Mohamed El Ouafa, Stéphane Vincent, Vincent Le Chenadec
    2021-02-25
    43583 3179 Pages:1213-1245
  • Mechanics-Based Solution Verification for Porous Media Models

    M. Shabouei & K. B. Nakshatrala
    2020-07-30
    42081 3398 Pages:1127-1162
  • Godunov-Type Numerical Methods for a Model of Granular Flow on Open Tables with Walls

    Adimurthi, Aekta Aggarwal & G. D. Veerappa Gowda
    2018-04-04
    40237 3135 Pages:1071-1105
  • Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds

    Keiichi Kitamura, Eiji Shima, Keiichiro Fujimoto & Z. J. Wang
    2011-10-01
    39505 4298 Pages:90-119
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    42777 3619 Pages:189-221
  • 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
    44383 3124 Pages:1561-1584
  • An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

    Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
    2020-06-05
    48674 3336 Pages:591-620
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45740 3874 Pages:1394-1412
  • A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

    Hui Xie, Xuejun Xu, Chuanlei Zhai & Heng Yong
    2018-09-17
    44991 3531 Pages:1375-1408
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38930 3038 Pages:901-930
  • Efficient Variable-Coefficient Finite-Volume Stokes Solvers

    Mingchao Cai, Andy Nonaka, John B. Bell, Boyce E. Griffith & Aleksandar Donev
    2014-11-08
    41638 3973 Pages:1263-1297
  • 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
    39823 3945 Pages:1183-1214
  • Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan
    2010-07-01
    41809 3844 Pages:473-509
  • New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

    Fayssal Benkhaldoun & Mohammed Seaïd
    2008-04-01
    38647 4309 Pages:820-837
  • An Efficient Parallel/Unstructured-Multigrid Implicit Method for Simulating 3D Fluid-Structure Interaction

    X. Lv, Y. Zhao, X. Y. Huang, G. H. Xia & X. H. Su
    2018-03-24
    36974 3656 Pages:350-377
  • Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

    Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang
    2022-09-29
    41582 3262 Pages:829-849
  • Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu, Weidong Shi
    2021-01-13
    45791 3222 Pages:831-852
  • On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

    Yana Di, Guanghui Hu, Ruo Li, Feng Yang
    2020-12-02
    48036 3684 Pages:445-471 Open-access
  • Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation

    Shuang Tan, Wenjun Sun, Kun Xu, Junxia Wei, Guoxi Ni
    2020-07-21
    45548 3028 Pages:1189-1218
  • An Explicit MUSCL Scheme on Staggered Grids with Kinetic-Like Fluxes for the Barotropic and Full Euler System

    Thierry Goudon, Julie Llobell, Sebastian Minjeaud
    2020-07-30
    45852 3725 Pages:672-724
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