Analysis of a fractional-step method on overset grids

被引:31
|
作者
Burton, TM [1 ]
Eaton, JK [1 ]
机构
[1] Stanford Univ, Dept Engn Mech, Stanford, CA 94305 USA
关键词
unsteady Navier-Stokes; fractional-step; overset grids; staggered grid;
D O I
10.1006/jcph.2002.7012
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A fractional-step method for solving the incompressible Navier-Stokes equations on overset grids is derived as a matrix factorization of the spatially and temporally discretized system of equations. The algorithm is applied to several test problems using second-order-accurate finite-volume flux differencing on staggered grid systems and a hybrid implicit/explicit time advancement scheme. Spatial order of accuracy is shown to depend on the behavior of the overset grid overlap during grid refinement. The temporal order of accuracy of the time advancement algorithm on a single grid is maintained on the overset grid. (C) 2002 Elsevier Science (USA).
引用
收藏
页码:336 / 364
页数:29
相关论文
共 50 条
  • [21] Face recognition using a kernel fractional-step discriminant analysis algorithm
    Dai, Guang
    Yeung, Dit-Yan
    Qian, Yun-Tao
    PATTERN RECOGNITION, 2007, 40 (01) : 229 - 243
  • [22] The finite element analysis of the controlled-source electromagnetic induction problems by fractional-step projection method
    Ma, CF
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2004, 22 (04) : 557 - 566
  • [24] Face recognition combing principal component analysis and fractional-step linear discriminant analysis
    Wang, Huiyuan
    Wang, Zengfeng
    Leng, Yan
    Wu, Xiaojuan
    2006 8TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, VOLS 1-4, 2006, : 1702 - +
  • [25] A semi-implicit material point method based on fractional-step method for saturated soil
    Kularathna, Shyamini
    Liang, Weijian
    Zhao, Tianchi
    Chandra, Bodhinanda
    Zhao, Jidong
    Soga, Kenichi
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2021, 45 (10) : 1405 - 1436
  • [26] Analysis of a fractional-step parareal algorithm for the incompressible Navier-Stokes equations
    Miao, Zhen
    Zhang, Ren-Hao
    Han, Wei-Wei
    Jiang, Yao-Lin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 161 : 78 - 89
  • [27] Fractional-step Runge-Kutta methods: Representation and linear stability analysis
    Spiteri, Raymond J.
    Wei, Siqi
    JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 476
  • [28] Fractional-step Tow-Thomas biquad filters
    Freeborn, Todd J.
    Maundy, Brent
    Elwakil, Ahmed
    IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2012, 3 (03): : 357 - 374
  • [29] A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations
    An, Rong
    Zhou, Can
    Su, Jian
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 12 (02) : 362 - 385
  • [30] Switched-Capacitor Fractional-Step Butterworth Filter Design
    C. Psychalinos
    G. Tsirimokou
    A. S. Elwakil
    Circuits, Systems, and Signal Processing, 2016, 35 : 1377 - 1393