Establishment and Analysis of Particle on Grid Method for Incompressible Fluid


Article Preview

In order to solve the problem of fluid-structure interaction, this paper presents a new numerical method named as particle on grid method (POGM) for incompressible fluid. Based on the physical mechanism of the fluid motion, the POGM has a clearly physical meaning by using representative physical values at points to describe the fluid’s overall flow. It has been proved that this method is consistent with Navier-Stockes’ equation essentially, and some numerical problems have been discussed. Coutte flow and Poiseuille flow are used in the numerical examples. The results of the POGM are well agreed with the analytical solutions of incompressible flows of the examples.



Advanced Materials Research (Volumes 219-220)

Edited by:

Helen Zhang, Gang Shen and David Jin




Z. Y. Zhong and W. J. Lou, "Establishment and Analysis of Particle on Grid Method for Incompressible Fluid", Advanced Materials Research, Vols. 219-220, pp. 518-527, 2011

Online since:

March 2011




[1] A.K., Slone, K. Pericleous, C. Bailey, M. Cross: Dynamic fluid–structure interaction using finite volume unstructured mesh procedures. Computers & Structures, 80(5-6): pp.371-390. (2002).

DOI: 10.1016/s0045-7949(01)00177-8

[2] Alexandre Joel Chorin: A Numerical Method for Solving Incompressible Viscous Flow Problems. Journal of Computational Physics, 133(2): p.118~127. (1997).

DOI: 10.1006/jcph.1997.5716

[3] Glück, M., Breuer, M., Durst, F., et al.: Computation of fluid-structure interaction on lightweight structures. Journal of Wind Engineering and Industrial Aerodynamics 89(14-15): pp.1351-1368. (2001).

DOI: 10.1016/s0167-6105(01)00150-7

[4] John D. Anderson: Computational Fuid Dynamics. McGraw-Hill Companies, New York. (1995).

[5] MaYanwen, Fu Dexun, T Kobayashi, et al.: Numerical solution of the incompressible Navier_Stockes equations with an upwind compact scheme. International Journal for Numerical Methods in Fluids, 30(5): p.509~522. (1999).

DOI: 10.1002/(sici)1097-0363(19990715)30:5<509::aid-fld851>;2-e

[6] Morand H., Ohayon R.: Fluid structure interaction. John Wiley and Sons, New York. (1995).

[7] Richtmy R D,Monton K W., 1967 2nd ed. Difference methods or initial-value problems. Interscience Tracts in Pure and Applied Mathematics: New York. (1967).

[8] S. Rebouillat, D. Liksonov: Fluid-Structure Interaction in Partially Filled Liquid Containers: a Comparative Review of Numerical Approaches, Computers & Fluids, 39 pp.739-746. (2001).

DOI: 10.1016/j.compfluid.2009.12.010

[9] Ting, E.C., Shih, C., and Wang, Y.K.,: Fundamentals of a vector form intrinsic finite element : Part I. Basic procedure and a plane frame element. Journal of Mechanics, 20(2), pp.113-122. (2004a).

DOI: 10.1017/s1727719100003336

[10] Ting, E.C., Shih, C., and Wang, Y.K.,: Fundamentals of a vector form intrinsic finite element : Part II. Plane solid elements. Journal of Mechanics, 20(2), pp.123-132. (2004b).

DOI: 10.1017/s1727719100003348

[11] Wang, C. Y., Wang, R. Z., Chuang, C. C., Wu, T. Y.: Nonlinear Dynamic Analysis of Reticulated Space Truss Structure, Journal of Mechanics, 22(3): pp.235-248. (2006).

[12] Warming R F, Beam R M.: Upwind second order difference scheme and application in aerodynamics. AIAA Journal, 14: 1241-1249. (1976).

[13] Ying YU, Yao-zhi LUO: Finite particle method for kinematically indeterminate bar assemblies, Journal of Zhejiang University SCIENCE A, 10(5): pp.660-676. (2009).

DOI: 10.1631/jzus.a0820494

Fetching data from Crossref.
This may take some time to load.