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http://dx.doi.org/10.3795/KSME-B.2007.31.3.300

Method of Numerical Simulation by Using the Local Harmonic Functions in the Cylindrical Coordinates  

Suh, Yong-Kweon (동아대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.31, no.3, 2007 , pp. 300-305 More about this Journal
Abstract
Many practical flow problems are defined with the circular boundary. Fluid flows within a circular boundary are however susceptible to a singularity problem when the cylindrical coordinates are employed. To remove this singularity a method has been developed in this study which uses the local harmonic functions in discretization of derivatives as well as interpolation. This paper describes the basic reason for introducing the harmonic functions and the overall numerical methods. The numerical methods are evaluated in terms of the accuracy and the stability. The Lamb-dipole flow is selected as a test flow. We will see that the harmonic-function method indeed gives more accurate solutions than the conventional methods in which the polynomial functions are utilized.
Keywords
Cylindrical Coordinates; Harmonic Function; Singularity; Lamb-Dipole Flow;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Verzicco, R. and Orlandi, P., 1996, 'A Finite- Difference Scheme for Three-dimensional Incompressible Flows in Cylindrical Coordinates,' J. Comput. Phys. Vol. 123, pp. 402-414   DOI   ScienceOn
2 Fukagata, K. and Kasagi, N., 2002, 'Highly Energy-conservative Finite Difference Method for the Cylindrical Coordinate System,' J. Comput. Phys., Vol. 181, pp. 478-498   DOI   ScienceOn
3 Suh, Y.K., 2003, 'Development of Zonal-embedded-grid Method and its Application,' Proc. 2nd KSV Conf., pp. 55-58   과학기술학회마을
4 Suh, Y.K. and Yeo, C.H., 2004, 'Study on the Spin-up of Fluid in a Semi-circular Container Using a Zonal-embedded-grid Method,' J. KSV, Vol. 2, No. 2, pp. 32-37   과학기술학회마을
5 Suh, Y.K. and Yeo, C.H., 2006, 'Finite Volume Method with Zonal-embedded Grids for Cylindrical Coordinates,' Int. J. Num. Methods Fluids, Vol. 52, pp. 263-295   DOI   ScienceOn
6 Akselvoll, K. and Moin, P., 1996, 'An Efficient Method for Temporal Integration of the Navier-Stokes Equations in Confined Axisymmetric geometries,' J. Comput. Phys., Vol. 125, pp. 454-463   DOI   ScienceOn