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An Approach to Alleviate Cancellation Problem of Temperature Preconditioned Navier-Stokes Equations  

Lee, Sang-Hyeon (울산대학교 항공우주공학과)
Publication Information
Journal of the Korean Society of Propulsion Engineers / v.14, no.1, 2010 , pp. 11-19 More about this Journal
Abstract
An approach to reduce cancellation errors of the temperature preconditioned Navier-Stokes equations is proposed. This approach is also applied to the conventional preconditioning methods. Adiabatic laminar viscous flows around a circular cylinder are calculated at different Mach numbers. It is shown that a redefinition of total enthalpy for reducing magnitude of the enthalpy remarkably alleviates cancellation problems of the temperature preconditioning.
Keywords
Cancellation Error; Temperature Preconditioned Navier-Stokes Equations; Total Enthalpy; Temperature preconditioning;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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1 이상현, "저속 유동 계산의 수렴성 개선을 위한 온도 예조건화, I: 오일러 방정식," 항공우주학회지, 제35권, 제12호, 2007, pp. 1067-1074
2 Lee, S-H., "Cancellation Problem of Preconditioning Methods at low Mach Numbers," Journal of Computational Physics, No. 225, 2007, pp.1199-1210   DOI   ScienceOn
3 Lee, S-H., "Convergence Characteristics of Preconditioned Euler Equations," Journal of Computational Physics. Vol. 208, 2005, pp. 266-288   DOI   ScienceOn
4 Chen, K. H., and Shuen, J. S., "Three Dimensional Coupled Implicit Methods for Spray Combustion Flows at All Speeds," AIAA paper 94-3047, 1994
5 Turkel, E., "Preconditioning Techniques in Computational Fluid Dynamics," Annual Review of Fluid Mechanics, Vol. 31, 1999, pp.385-416   DOI   ScienceOn
6 이상현, "예조건화 방법론의 Navier-Stokes 방정식에의 적용," 한국추진공학회지, 제8권, 제1호, 2004, pp.16-26   과학기술학회마을
7 Weiss, J. M., Smith, W. A., "Preconditioning applied to variable and constant density flows," AIAA Journal, Vol. 33, No.11, 1995, pp.2050-2057   DOI   ScienceOn
8 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, 1993, pp.306-318   DOI
9 Choi, Y. H., and Merkle, C. L., "The Application of Preconditioning in Viscous Flows," Journal of Computational Physics. Vol. 105, 1993, pp.207-223   DOI   ScienceOn
10 이상현, "저속 압축성 유동장 해석을 위한 예조건화 방법론 연구 II - 온도장 계산 성능 개선," 한국항공우주학회지, 제29권, 제8호, 2001, pp.26-36
11 이상현, "저속 유동 계산의 수렴성 개선을 위한 온도 예조건화, II: 나비어스톡스 방정식," 항공우주학회지, 제35권, 제12호, 2007,pp.1075-1081
12 Sesterhenn, J., Muller, B., and Thomann, H., "On the Cancellation Problem in Calculating Compressible Low Mach Number Flows," Journal of Computational Physics, Vol. 151, 1999, pp.597-615   DOI   ScienceOn