Abstract
Performance of the two commonly used numerical procedures, one based on artificial compressibility method and the other pressure projection method, are compared. These formulations are selected primarily because they are designed for three-dimensional applications. The computational procedures are compared by obtaining steady state solutions of a wake vortex and unsteady solutions of a curved duct flow. For steady computations, artificial compressibility was very efficient in terms of computing time and robustness. For an unsteady flow which requires small physical time step, pressure projection method was found to be computationally more efficient than an artificial compressibility method. This comparison is intended to give some basis for selecting a method or a flow solution code for large three-dimensional applications where computing resources become a critical issue.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Chorin, A. J., “A Numerical Method for Solving Incompressible Viscous Flow Problems,” J. Comp. Phys., Vol. 2, pp.12–26, 1967.
Dacles-Mariani, J., Rogers, S., Kwak, D., Zilliac, G. and Chow, J.’ A Computational Study of Wingtip Vortex Flowfield,’ AIAA Paper, 93-3010, AIAA 24th Fluid Dynamics Conference, Orlando, FL, July 6–9, 1993.
Harlow, F. H. and Welch, J.E., ”Numerical Calculation of Time-Dependent Viscous Incompressible Flow with Free Surface,” Phys. Fluids, Vol. 8, No. 12, pp. 2182–2189, 1965.
Kiris, C. and Kwak, D., ‘Numerical Solution of Incompressible Navier-Stokes Equations using a Fractional-Step Approach,’ AIAA Paper 96-2089, AIAA 27th Fluid Dynamics Conference, New Orleans, LA, June 17–20, 1996.
Kwak, D., Chang, J. L. C., Shanks, S. P., and Chakravarthy, S.,’ An Incompressible Navier-Stokes Flow Solver in Three-Dimensional Curvilinear Coordinate Systems Using Primitive Variables,’ AIAA J., vol 24, No. 3, 390–396, Mar. 1986.
Rogers, S. E., Kwak, D., and Kiris, C., ‘Steady and Unsteady Solutions of the Incompressible Navier-Stokes Equations,’ AIAA J. vol. 29, NO. 4, pp 603–610, April, 1991.
Rosenfeld, M., Kwak, D., and Vinokur, M.,’ A Solution Method for Unsteady, Incompressible Navier-Stokes Equations in Generalized Curvilinear Coordinate Systems,’ J. Comp. Phys. vol 94, No. 1, May 1991, pp102–137.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1998 Springer-Verlag
About this paper
Cite this paper
Kwak, D., Kiris, C., Dacles-Mariani, J. (1998). An assessment of artificial compressibility and pressure projection methods for incompressible flow simulations. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106580
Download citation
DOI: https://doi.org/10.1007/BFb0106580
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65153-6
Online ISBN: 978-3-540-49540-6
eBook Packages: Springer Book Archive