Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics
Full Article - Open Access.
A CLOSER LOOK AT LOW-SPEED PRECONDITIONING TECHNIQUES FOR THE EULER EQUATIONS OF GAS DYNAMICS
It is widely known that compressible flow solvers usually behave badly in terms of both accuracy and convergence rate at the incompressible limit. The present paper focuses on presenting the fundamentals of low-speed preconditioning techniques in a detailed approach, with particular emphasis on the Euler equations in two-dimensional generalized coordinates. Issues related to eigenvalue scaling, local time-stepping correction, artificial dissipation adjustment and boundary conditions implementation are discussed. The computational tests are conducted using a finite difference code, which is constructed for structured grids in general curvilinear coordinates. Spatial discretization uses central differences plus added artificial dissipation. The time march can be performed with either explicit or implicit time discretization methods. Although the investigation is performed with a specific code, the conclusions reached in the process of the present research are quite general and, therefore, useful for CFD practitioners regardless of the type of method they work with. Several airfoil simulations are addressed in order to demonstrate the benefits or even the necessity of using low-speed preconditioning techniques in the context of aerospace applications.
Palavras-chave: CFD, Low-speed flows, Preconditioning techniques,
-  Blazek, J., Computational fluid dynamics: principles and applications (1st ed.), Elsevier Science, Oxford, 200
-  Buelow, P. E. O., “Convergence Enhancement of Euler and Navier-Stokes Algorithms”, PHD Thesis, Department of Mechanical Engineering, The Pennsylvania State University, 1995.
-  Chorin, A. J., “A Numerical Method for Solving Incompressible Viscous Flow Problems”, Journal of Computational Physics, Vol. 2, 1967, pp. 12–26.
-  Fletcher, C. A. J., Computational Techniques for Fluid Dynamics (2nd vol.), Springer- Verlag, Berlin, 1988.
-  Guillard, H., and Viozat, C., “On the behavior of upwind schemes in the low Mach number limit”, Computers Andamp; Fluids, Vol. 28, 1999, pp. 63–86.
-  Patankar, S. V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980.
-  Toro, E. F., Riemann solvers and numerical methods for fluid dynamics (2nd ed.), Springer-Verlag, Berlin, 1999.
-  Unrau, D., and Zingg, D. W., “Viscous airfoil computations using local preconditioning”, AIAA Paper, No. 97–2027, 1997.
-  Weiss, J., and Smith, W. A. “Preconditioning applied to variable and constant density flows”. AIAA Journal, Vol. 33, No. 11, 1995, pp. 2050-2057.
Moura, R. C.; Antunes, A. P.; Basso, E.; Bigarella, E. D. V.; Azevedo, J. L. F.; "A CLOSER LOOK AT LOW-SPEED PRECONDITIONING TECHNIQUES FOR THE EULER EQUATIONS OF GAS DYNAMICS", p. 2884-2899 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1].
São Paulo: Blucher,
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19066
últimos 30 dias | último ano | desde a publicação