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Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions

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文摘 This paper presents the extension of the global description approach of a discontinuous function, which is proposed in the previous paper, to a spectral domain decomposition method. This multi-domain spectral immersed interface method(IIM) divides the whole computation domain into the smooth and discontinuous parts. Fewer points on the smooth domains are used via taking advantage of the high accuracy property of the spectral method, but more points on the discontinuous domains are employed to enhance the resolution of the calculation. Two discontinuous problems are tested to verify the present method. The results show that the domain decomposition technique can reduce the error of the spectral IIM, especially when more collocation points are placed around the discontinuity. The present method is favorable for the reason that the same level of the accuracy can be reached, in spite of the enlarged computational domain.
来源 Chinese Journal of Aeronautics ,2012,25(3):297-310 【核心库】
DOI 10.1016/s1000-9361(11)60391-9
关键词 computational aerodynamics ; immersed interface method ; immersed boundary method ; Chebyshev spectral method ; domain decomposition method
地址

1. School of Jet Propulsion, Beihang University, Beijing, 100191  

2. AVIC Commercial Aircraft Engine Co., Ltd., Shanghai, 200241

语种 英文
文献类型 研究性论文
ISSN 1000-9361
学科 航空
基金 国家自然科学基金
文献收藏号 CSCD:4568807

参考文献 共 27 共2页

1.  Peskin C S. Flow patterns around heart valves: a numerical method. Journal of Computational Physics,1972,10(2):252-271 被引 125 次    
2.  Peskin C S. Numerical analysis of blood flow in the heart. Journal of Computational Physics,1977,25(3):220-252 被引 85 次    
3.  Stockie J M. Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes. Journal of Computational Physics,1999,154(1):41-64 被引 5 次    
4.  Beyer R P. Analysis of a one-dimensional model for the immersed boundary method. SIAM Journal of Numerical Analysis,1992,29(2):332-364 被引 13 次    
5.  Tornberg A K. Numerical approximations of singular source terms in differential equations. Journal of Computational Physics,2004,200(2):462-488 被引 10 次    
6.  Lai M. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Journal of Computational Physics,2000,160(2):705-719 被引 10 次    
7.  Griffith B E. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. Journal of Computational Physics,2005,208(1):75-105 被引 14 次    
8.  Leveque R J. Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM Journal on Scientific Computing,1997,18(3):709-735 被引 9 次    
9.  Leveque R J. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM Journal on Numerical Analysis,1994,31(4):1019-1044 被引 40 次    
10.  Xu S. Systematic derivation of jump conditions for the immersed interface method in three-dimensional flow simulation. SIAM Journal on Scientific Computing,2006,27(6):1948-1980 被引 3 次    
11.  Lai M. A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. Applied Mathematics Letters,2001,14(2):149-154 被引 1 次    
12.  Zhou Y C. High order matched interface and boundary method for elliptic equations with discotinuous coefficients and singular sources. Journal of Computational Physics,2006,213(1):1-30 被引 10 次    
13.  Zhong X. A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity. Journal of Computational Physics,2007,225(1):1066-1099 被引 4 次    
14.  Goldstein D. Modeling a no-slip flow boundary with an external force field. Journal of Computational Physics,1993,105(2):354-366 被引 48 次    
15.  Mohd-Yusof J. Combined immersed boundaries/B-splines methods for simulations of flows in complex geometries,1997:317-327 被引 1 次    
16.  Liang A. Constructing spectral schemes of the immersed interface method via a global description of discontinuous functions. Journal of Computational Physics,2008,227(18):8341-8366 被引 5 次    
17.  Gottlieb D. On the Gibbs phenomenon and its resolution. SIAM Review,1997,39(4):644-668 被引 8 次    
18.  Gottlieb D. On the Gibbs phenomenon. I. Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function %Z orthogonal polynomials and numerical methods. Journal of Computational Physics,1992,43(1/2):81-98 被引 1 次    
19.  Peyret R. Spectral methods for incompressible viscous flow,2002:432 被引 1 次    
20.  Canuto C. Spectral methods: fundamentals in single domains,2006:563 被引 1 次    
引证文献 1 篇

1 Jiang Yongsong A second-order numerical method for elliptic equations with singular sources using local filter Chinese Journal of Aeronautics,2013,26(6):1398-1408
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