Hybrid Schemes with High-Order Multioperators for Computing Discontinuous Solutions

被引：3
|
作者：
Tolstykh, A. I. [1 ,2 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
high-order multioperators; hybrid schemes; problem with discontinuous solutions; Navier-Stokes equations; FLUX-CORRECTED TRANSPORT; DIFFERENCE-SCHEMES; CONSERVATION LAWS; EQUATIONS; SYSTEMS; APPROXIMATIONS;
D O I：
10.1134/S0965542513070178
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Results are presented concerning high-order multioperator schemes and their monotonized versions as applied to the computation of discontinuous solutions. Two types of hybrid schemes are considered. Solutions of several test problems, including those with extremely strong discontinuities, are presented. An example of solving the Navier-Stokes equations at low supersonic Mach numbers by applying multioperator schemes without monotonization is given.
引用
收藏
页码：1303 / 1322
页数：20
相关论文
共 50 条
  • [41] High-order discontinuous Galerkin RANS solutions of the incompressible flow over a delta wing
    Crivellini, Andrea
    D'Alessandro, Valerio
    Bassi, Francesco
    COMPUTERS & FLUIDS, 2013, 88 : 663 - 677
  • [42] High-order discontinuous Galerkin solutions of three-dimensional incompressible RANS equations
    Crivellini, Andrea
    D'Alessandro, Valerio
    Bassi, Francesco
    COMPUTERS & FLUIDS, 2013, 81 : 122 - 133
  • [43] High-Order Discontinuous Galerkin Solution of Compressible Flows with a Hybrid Lattice Boltzmann Flux
    Sun Y.
    Cai J.
    Qin W.
    Sun, Yongcheng (yongchengsun@126.com), 2018, Nanjing University of Aeronautics an Astronautics (35) : 413 - 422
  • [44] High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations
    Jiang, Zhen-hua
    Yan, Chao
    Yu, Jian
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2014, 35 (07) : 799 - 812
  • [45] High-Order Discontinuous Galerkin Solution of Compressible Flows with a Hybrid Lattice Boltzmann Flux
    Sun Yongcheng
    Cai Junwei
    Qin Wanglong
    TransactionsofNanjingUniversityofAeronauticsandAstronautics, 2018, 35 (03) : 413 - 422
  • [46] Assessment of Hybrid High-Order methods on curved meshes and comparison with discontinuous Galerkin methods
    Botti, Lorenzo
    Di Pietro, Daniele A.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 370 : 58 - 84
  • [47] High-order discontinuous Galerkin solution of N-S equations on hybrid mesh
    Qin, Wanglong
    Lü, Hongqiang
    Wu, Yizhao
    Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2013, 45 (06): : 987 - 991
  • [48] High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations
    姜振华
    阎超
    于剑
    AppliedMathematicsandMechanics(EnglishEdition), 2014, 35 (07) : 799 - 812
  • [49] High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations
    Zhen-hua Jiang
    Chao Yan
    Jian Yu
    Applied Mathematics and Mechanics, 2014, 35 : 799 - 812
  • [50] Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach
    Mazaheri, Alireza
    Nishikawa, Hiroaki
    JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 321 : 729 - 754
12345