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A Study on the Choice of Dependent Variables of Momentum Equations in the General Curvilinear Coordinate
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 Title & Authors
A Study on the Choice of Dependent Variables of Momentum Equations in the General Curvilinear Coordinate
Kim, Tak-Su; Kim, Won-Gap; Kim, Cheol-Su; Choe, Yeong-Don;
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 Abstract
This paper represents the importance of dependent variables in non-orthogonal curvilinear coordinates just as the importance of those variables of convective scheme and turbulence model in computational fluid dynamics. Each of Cartesian, physical covariant and physical contravariant velocity components was tested as the dependent variables of momentum equations in the staggered grid system. In the flow past a circular cylinder, the results were computed to use each of three variables and compared to experimental data. In the skewed driven cavity flow, the results were computed to check the grid dependency of the variables. The results used in Cartesian and physical contravariant components of velocity in cylinder flow show the nearly same accuracy. In the case of Cartesian and contravariant component, the same number of vortex was predicted in the skewed driven cavity flow. Vortex strength of Cartesian component case has about 30% lower value than that of the other two cases.
 Keywords
General Curvilinear Coordinate;Physical Covariant(Contravariant);Component;Off-diagonal Component;Diagonal Dominance;Locally Parallel Coordinate;
 Language
Korean
 Cited by
 References
1.
Shyy, W., Tong, S. S. and Correa, S. M., 1985, 'Numerical Recirculating Flow Calculation Using a Body-Fitted Coordinate System,' Numerical Heat Transfer, Vol. 8, pp. 99 - 113 crossref(new window)

2.
Braaten, M. and Shyy, W., 1986, 'A Study of Recirculating Flow Computation Using A Body-Fitted Coordinates: Consistency Aspects and Mesh Skewness,' Numerical Heat Transfer, Vol. 9, pp. 559 - 574

3.
Karki, K. C. and Patankar, S. V., 1988, 'Calculation Procedure for Viscous Incompressible Flows in Complex Geometries,' Numerical Heat Transfer, Vol. 14, pp. 295 - 307 crossref(new window)

4.
Demirdzic, I., Gosman, A. D., Issa, R. I. and Peric, M., 1987, 'A Calculation Procedure for Turbulent Flow in Complex Geometries,' Computers and Fluids, Vol. 15, No.3, pp. 251--273 crossref(new window)

5.
Peric, M., 1990, 'Analysis of Pressure-Velocity Coupling on Nonorthogonal Grids,' Numerical Heat Transfer. Part B, Vol. 17, pp. 63 - 82 crossref(new window)

6.
김원갑, 최영돈, 1999, '전산유체역학을 위한 일반 곡률좌표계에서 운동량 방정식의 종속변수선정에 관한 연구,' 대한기계학회 논문집 B권, 제23권, 제2호, pp. 198-209

7.
Coutanceau, M. and Bouard, R., 1977, 'Experimental Determination of the Main Features of Viscous Flow in the Wake of a Circular Cylinder in Uniform Translation, Part I. Steady Flow,' Journal of Fluid Mechanics, Vol. 79, Part 2, pp. 231 - 256 crossref(new window)

8.
Nieuwstadt, F. and Keller, H. B., 1973, 'Viscous Flow past Circular Cylinders,' Computers and Fluids, Vol. 1, pp. 59-71 crossref(new window)

9.
Kawaguti, M. and Jain, P. C; 1966, 'Numerical Study of a Viscous Fluid Flow past a Circular Cylinder,' Journal of Physical Society of Japan, Vol. 21, pp. 2055

10.
Takami, H. and Keller, H. B., 1969, 'Study Two-dimensional Viscous Flow of an Incompressible Fluid past a Circular Cylinder,' Physics of Fluids (Suppl, II), Vol. 12, pp. 51

11.
Dennis, S. C. R. and Chang, G. Z., 1970, 'Numerical Solutions for Steady Flow past a Circular Cylinder,' Journal of Fluid Mechanics, Vol. 42, pp. 471-489 crossref(new window)

12.
Grove, A. S., Shair, F. H., Petersen, E. E. and Acrivos, A., 1964, 'An Experimental Investigation of the Steady Separated Flow past a Circular Cylinder,' Journal of Fluid Mechanics, Vol. 19, pp. 60-80 crossref(new window)