Abstract
The objective of this paper is to present a modified fractional step method of keeping a constant mass flow rate in spatially periodic flows, because original fractional step methods do not precisely keep the mass flow rate constant in time. In the modified method, the mean and fluctuating pseudo-pressure gradients are separately obtained at each time step. This method is successfully applied to channel and pipe flows and shown to be suitable for maintaining a constant mass flow rate in time.
Similar content being viewed by others
References
Akselvoll, K. and Moin, P., 1996, “An Efficient Method for Temporal Integration of the Navier-Stokes Equations in Confined Axisymmetric Geometries,”J. Comput. Phys., Vol. 125, pp. 454–463.
Choi, H., Moin, P. and Kim, J., 1994, “Active Turbulence Control for Drag Reduction in Wall-Bounded Flows,”J. Fluid Mech., Vol. 262, pp. 75–110.
Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. and Nieuwstadt, F. T. M., 1994, “Fully Developed Turbulent Pipe Flow: a Comparison Between Direct Numerical Simulation and Experiment,”J. Fluid Mech., Vol. 268, pp. 175–209.
Kim, J. and Moin, P., 1985, “Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations,”J. Comput. Phys., Vol. 59, pp. 308–323.
Kim, J., Moin, P. and Moser, R., 1987, “Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number,”J. Fluid Mech., Vol. 177, pp. 133–166.
Le, H. and Moin, P., 1991, “An Improvement of Fractional Step Methods for the Incompressible Navier-Stokes Equations,”J. Comput. Phys., Vol. 92, No. 2, pp. 369–379.
Lee, C., Kim, J. and Choi, H., 1998, “Suboptimal Control of Turbulent Channel Flow for Drag Reduction,”J. Fluid Mech., Vol. 358, pp. 245–258.
Orlandi, P. and Fatica, M., 1997, “Direct Simulations of Turbulent Flow in a Pipe Rotating about Its Axis,”J. Fluid Mech., Vol. 343, pp. 43–72.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
You, J., Choi, H. & Yoo, J.Y. A modified fractional step method of keeping a constant mass flow rate in fully developed channel and pipe flows. KSME International Journal 14, 547–552 (2000). https://doi.org/10.1007/BF03185657
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03185657