Browse > Article
http://dx.doi.org/10.5139/JKSAS.2007.35.12.1075

Temperature Preconditioning for Improving Convergence Characteristics in Calculating Low Mach Number Flows, II: Navier-Stokes Equations  

Lee, Sang-Hyeon (울산대학교 항공우주공학과)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.35, no.12, 2007 , pp. 1075-1081 More about this Journal
Abstract
The temperature preconditioning is applied to the Navier-Stokes equations. Also, a new concept of diffusion Mach numbers is introduced to modify the reference Mach number for the Navier-Stokes equations. Flows over a circular cylinder were calculated at different Reynolds numbers. It is shown that the temperature preconditioning improves the convergence characteristics of Navier-Stokes equations. Also, it is shown that the modified reference Mach number alleviates the convergence problems at locally low speed regions.
Keywords
Temperature Preconditioning; Convergence Characteristics; Navier-Stokes Equations; Diffusion Mach Number;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Dailey, L. D., and Pletcher, R H, 'Evaluation of Multigrid Acceleration for Preconditioned Time-Accurate Navier-Stokes Algorithms', AIAA paper 95-1668, 1995
2 Dennis, S. C. R and Chang, G.-Z., 'Numerical Solutions for Steady Flow Past a Circular Cylinder at Reynolds numbers up to 100', Journal of Fluid Mechanics, Vol. 42, pp. 471-489, 1970   DOI
3 Fornberg, B., 'A Numerical Study of Steady Viscous Flow Past a Circular Cylinder', Journal of Fluid Mechanics, Vol. 98, pp. 819-855, 1980   DOI   ScienceOn
4 Choi, Y. H., and Merkle, C. L., 'The Application of Preconditioning in Viscous Flows', Journal of Computational Physics. Vol. 105, pp. 207-223, 1993   DOI   ScienceOn
5 Shuen, J. S., Chen, K. H, and Choi, Y, 'A Coupled Implicit Method for Chemical Non-Equilibrium Flows at All Speeds', Journal of Computational Physics, Vol. 106, pp. 306-318, 1993   DOI   ScienceOn
6 Chen, K. H, and Shuen, J. S., 'Three Dimensional Coupled Implicit Methods for Spray Combustion Flows at All Speeds', AIAA paper 94-3047, 1994
7 Weiss, J. M., Smith, W. A., 'Preconditioning applied to variable and constant density flows', AIAA Journal, Vol. 33, No.11, pp. 2050-2057, 1995   DOI   ScienceOn
8 Edwards, J. R, and Roy, C. J., 'Preconditioned Multigrid Methods for Two Dimensional Combustion Calculations at All Speeds', AIAA Journal, Vol. 36, No.2, pp. 185-192, 1998   DOI   ScienceOn
9 이상현, '예조건화 오일러 방정식의 계산오차 문제', 한국항공우주학회지, 35권 7호, pp. 586-591, 2007   DOI
10 Lee, S-H., 'Convergence Characteristics of Preconditioned Euler Equations', Journal of Computational Physics. Vol. 208, pp. 266-288, 2005   DOI   ScienceOn
11 이상현, '저속 유동 계산의 수렴성 개선을 위한 온도예조건화, (I)오일러방정식', 한국항공우주학회지, 35권 12호, pp. 1067-1074, 2007   DOI
12 Linnick, M. N., and Fasel, H. F., 'A High-order Immersed Interface Method for Simulating Unsteady Incompressible Flows on Irregular Domains', Journal of Computational Physics. Vol. 204, pp. 157-192, 2005   DOI   ScienceOn
13 Turkel, E., 'Preconditioning Techniques in Computational Fluid Dynamics', Annual Review of Fluid Mechanics, Vol. 31, pp. 385-416, 1999   DOI   ScienceOn