Error analysis for the interpolation-supplemented lattice-Boltzmann equation scheme

被引：19
|
作者：
He, XY
机构：
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1997年 / 8卷 / 04期
关键词：
lattice-Boltzmann equation; non-uniform grid; numerical error;
D O I：
10.1142/S012918319700062X
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The numerical error of the interpolation-supplemented lattice-Boltzmann equation (ISLBE) scheme is theoretically analyzed. The ISLBE is proved to recover the Navier-Stokes equation as long as a second order interpolation scheme is used and the dow domain is appropriately discretized. Using a linear interpolation scheme will inevitably generate the numerical diffusivity and viscosity, making the ISLBE scheme unable to simulate the Navier-Stokes equation correctly. The analysis is consistent with previous numerical experiments.
引用
收藏
页码：737 / 745
页数：9
相关论文
共 50 条
  • [1] Generalized form of interpolation-supplemented lattice Boltzmann method for computational aeroacoustics
    Liu W.-H.
    Chen R.-Q.
    Qiu R.-F.
    Lin W.
    You Y.-C.
    Zhejiang Daxue Xuebao (Gongxue Ban)/Journal of Zhejiang University (Engineering Science), 2020, 54 (08): : 1637 - 1644
  • [2] AN ISOPARAMETRIC TRANSFORMATION-BASED INTERPOLATION-SUPPLEMENTED LATTICE BOLTZMANN METHOD AND ITS APPLICATION
    Qu, Kun
    Shu, Chang
    Chew, Yong Tian
    MODERN PHYSICS LETTERS B, 2010, 24 (13): : 1315 - 1318
  • [3] A lattice-Boltzmann scheme for Cattaneo's diffusion equation
    Alvarez-Ramirez, Jose
    Valdes-Parada, Francisco J.
    Ochoa-Tapia, J. Alberto
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (07) : 1475 - 1484
  • [4] Connection between lattice-Boltzmann equation and beam scheme
    Xu, K
    Luo, LS
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1998, 9 (08): : 1177 - 1187
  • [5] Generalized interpolation-supplemented cascaded lattice Boltzmann method for noise radiated from a circular cylinder
    Song, Jian
    Hu, Haibao
    Li, Guanghua
    Zhang, Heng
    Ren, Feng
    JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 517
  • [6] Direct simulations of external flow and noise radiation using the generalized interpolation-supplemented cascaded lattice Boltzmann method
    Song, Jian
    Zhang, Fan
    Zhao, Yuanpu
    Ren, Feng
    Hu, Haibao
    COMPUTERS & FLUIDS, 2024, 280
  • [7] Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement
    Guzik, Stephen M.
    Weisgraber, Todd H.
    Colella, Phillip
    Alder, Berni J.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 259 : 461 - 487
  • [8] A lattice-Boltzmann scheme of the Navier-Stokes equation on a three-dimensional cuboid lattice
    Wang, Lian-Ping
    Min, Haoda
    Peng, Cheng
    Geneva, Nicholas
    Guo, Zhaoli
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (04) : 1053 - 1075
  • [9] Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method and its application
    Han, Shan-Ling
    Zhu, Ping
    Lin, Zhong-Qin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (07) : 1162 - 1171
  • [10] Parallel performance of the interpolation supplemented lattice Boltzmann method
    Sunder, CS
    Baskar, G
    Babu, V
    Strenski, D
    HIGH PERFORMANCE COMPUTING - HIPC 2003, 2003, 2913 : 428 - 437
12345