Browse > Article
http://dx.doi.org/10.5139/JKSAS.2008.36.10.939

Application of A Local Preconditioning Method for 3-D Compressible Low Mach Number Flows  

Yoo, Il-Yong (인하대학교 항공공학과 대학원)
Jin, Min-Suk (인하대학교 항공공학과 대학원)
Kwak, Ein-Keun (인하대학교 항공공학과 대학원)
Lee, Seung-Soo (인하대학교 기계공학부 항공우주공학전공)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.36, no.10, 2008 , pp. 939-946 More about this Journal
Abstract
Euler codes or Navier-Stokes codes for compressible flows suffer severe degradation in convergence as Mach number approaches zero. The convergence problem arose from the wide disparity in characteristic speeds can be solved using preconditioning methods without large modifications. In this paper, a preconditioned RANS(Reynolds Averaged Navier-Stokes) solver is developed for analysis of low Mach number flows. In order to validate the method, computational examples are chosen and the results are compared with the experimental data and the existing computed results showing a good accuracy and convergence characteristics for steady inviscid, laminar and turbulent flows at low Mach number.
Keywords
Computational Fluid Dynamics; Compressible Flow; Local Precondition Method; Turbulence flow;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 S. Venkateswaran and C. L. Merkle, 'Analysis of Preconditioning Methods for the Euler and Navier-Stokes Equations', Von Karman Institute Lecture Series March 12, 1999
2 Weiss, J.M., and Smith, W.A., 'Preconditioning Applied to Variable and Constant Density Flows', AIAA Journal, Vol. 33, No. 11, 1995, pp. 2050-2057   DOI   ScienceOn
3 Roe, R.L., 'Approximate Riemann Solvers, Parameter Vectors and Difference Schemes', J. of Comp. Physics, Vol. 43, 1981
4 Loving, D.L, and Estabrooks, B.B., 'Anlaysis of Pressure Distribution of Wing-fuselage Configuration Having a Wing of $45^\circ$ Sweepback, Aspect Ratio 4, Taper Ratio 0.6, and NACA 65A006 Airfoil Section', NACA RM L51F07, 1951
5 류세현, 이승수, 김범수, '저속 압축성 유동에 대한 국소 예조건화 기법 적용연구', 한국군사과학기술학회, 제9권 2호, 2006, pp. 152-160   과학기술학회마을
6 Raisee, M., Alemi, H. and Iacovides, H., 'Prediction of Developing Turbulent Flow in $90^\circ$-curved Ducts using Linear and Non-linear low-Re $k-\varepsilon$ models', International Journal for Numerical methods in fluids, Vol. 51, 2006, pp. 1379-1405   DOI   ScienceOn
7 White, F.M. Viscous Fluid Flow, 2nd ed., McGraw-Hill, 1991
8 Kim WJ, Partel V., 'Origin and Decay of Longitudinal Vortices in Developing Flow in a Curved Rectangular Duct', Journal of Fluids Engineering, Vol. 116. pp. 45-52, 1994   DOI   ScienceOn
9 Lee, S., 'Acceleration of Iterative Algorithms for Euler and Navier-Stokes Equations', Ph.D Thesis, The Pennsylvania State University, 1990
10 Humphrey, J.A.C., Taylor, A.M.K., and Whitelaw, J.H. ,'Laminar Flow in a Square Duct of Strong Curvature', Journal of Fluid Mechanics, Vol. 83, Part 3, 1977, pp. 509-527   DOI   ScienceOn
11 Ashby, D.L, Dudley, M.R., Lguchi, S.K., Browne, L., and Katz, J., 'Potential Flow Theory and Operation Guide for the Panel Code PMARC', NASA TM 102851, 1991