Volume 27 Issue 10
Oct.  2012
Turn off MathJax
Article Contents
HAN Yu-qi, JIANG Li-jun, ZHANG Chang-xian, GAO Ge. Application of new boundary method in Cartesian-mesh[J]. Journal of Aerospace Power, 2012, 27(10): 2371-2377.
Citation: HAN Yu-qi, JIANG Li-jun, ZHANG Chang-xian, GAO Ge. Application of new boundary method in Cartesian-mesh[J]. Journal of Aerospace Power, 2012, 27(10): 2371-2377.

Application of new boundary method in Cartesian-mesh

  • Received Date: 2012-04-10
  • Publish Date: 2012-10-28
  • Adaptively-refined Cartesian-mesh approaches were employed for the computation of Euler equations,solid wall boundary was introduced by a discrete forcing immersed boundary approach,and shape of cut cell kept in accordance with that in the flow field,which efficiently relieved the time step restriction of small cut cell.To remedy the numerical suction peak,a novel method for reflection of ghost point along with interpolation scheme were devised which were applied for adaptively-refined Cartesian-mesh.Inviscid flows around RAE2822 airfoil,double NACA0012 airfoil and Suddhoo three-element airfoil were simulated and compared with published theoretical and single/multi domain structured mesh results.The results show that solid wall is efficiently resolved by the current discrete forcing immersed boundary approach and flows around complex geometries are adequately simulated by adaptively-refined Cartesian-mesh approaches.

     

  • loading
  • [1]
    Peskin C S.Flow patterns around the heart valves[J].Journal of Computational Physics,1972,10(2):252-271.
    [2]
    Beyer R P.A computational model of the cochlea using the immersed boundary method[J].Journal of Computational Physics,1992,98(1):145-162.
    [3]
    Saiki E M,Biringen S.Numerical simulation of a cylinder in uniform flow:application of a virtual boundary method[J].Journal of Computational Physics,1996,123(2):450-465.
    [4]
    Mohd-Yosuf J.Combined immersed boundary/B-spline methods for simulations of flow in complex geometries .US:CTR Annual Research Briefs,NASA Ames Research/Stanford University,1997.
    [5]
    Ghias R,Mittal R,Dong H.A sharp interface immersed boundary method for compressible viscous flows[J].Journal of Computational Physics,2007,225(1):528-553.
    [6]
    Dadone A,Grossman B.Ghost-cell method for inviscid two-dimensional flows on Cartesian grids[J].AIAA Journal,2004,42(12):2499-2507.
    [7]
    Tomasz P, Timur J L,Vincent G W.Adaptive mesh refinement-theory and applications[M].New York:Springer,2005.
    [8]
    Giuseppe B,Aldo F.Variational analysis and aerospace engineering[M].New York:Springer,2009.
    [9]
    Beger M J,Aftosmis M J.Aspects (and aspect-ratios) of Cartesian mesh methods //Proceedings of 16th International Conference on Numerical Methods in Fluid Dynamics.Heidelberg:Springer-Verlag,1998:1-12.
    [10]
    Warren G,Anderson W K,Thomas J,et al.Grid convergence for adaptive methods //Proceedings of 10th AIAA Computational Fluid Dynamics Conference.Washington D C:AIAA,1991:729-741.
    [11]
    Venditti D A,Darmoral D L.Grid adaption for functional outputs:application to two-dimensional invisid flows[J].Journal of Computational Physics,2002,176(1):40-69.
    [12]
    Darren L D Z.A quadtree-based adaptively-refined Cartesian-grid algorithm for solution of the Euler equations .Michigan:University of Michigan,1993.
    [13]
    Liou M S.A sequel to AUSM:part Ⅱ AUSM+-up for all speeds[J].Journal of Computational Physics,2006,214(1):137-170.
    [14]
    William J C.An adaptively-refined,Cartesian,cell-based scheme for the Euler and Navier-Stokes equations .Michigan:University of Michigan,1994.
    [15]
    Yoshihara H,Sacher P.Test cases for inviscid flow field methods .Advisory Group for Aerospace Research and Development (AGARD)-AR-211,1985.
    [16]
    Lerat A,Wu Z N.Stable conservative multidomain treatments for implicit Euler Solvers[J].Journal of Computational Physics,1996,123(1):45-64.
    [17]
    Suddhoo A,Hall I M.Test cases for the plane potential flow past multi-element aerofoils[J].Aeronautical Journal,1985,89(890):403-414.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1961) PDF downloads(644) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return