Summary
Viscous/Inviscid Interaction procedures consist usually of coupling potential flow and boundary layer calculations. In this study, the interaction is modeled using Helmholtz-type velocity decomposition where the gradient of the potential is augmented with a correction accounting for the vorticity effects in the viscous layers. Different ways to calculate the rotational components are discussed and methods to systematically improve the model are studied. Numerical results are compared with standard Navier-Stokes calculations to justify the present approach.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Hafez, M. , Shatalov A., Wahba, E.: Numerical Simulations of Incompressible Aerodynamic flows using Viscous / Inviscid Interaction Procedures. Comp. Methods in Appl. Mech. and Engrg., Vol 195, pp. 3110-3127 (2006)
Shatalov, A., Nakajima, M., Hafez, M.: Numerical Simulations of Unsteady Laminar Incompressible Flows using Viscous / Inviscid Interaction Procedures, CFD Journal, Vol 15, pp. 246-254 (2005)
Cousteix, J., Mauss, J.: Approximations of the Navier-Stokes equations for high Reynolds number flows past a solid wall, Journal of Computational and Applied Mathematics, Vol 166, pp. 101-122 (2004)
Gordnier, R.E., Rubin, S.G.: Flow Simulations using a composite velocity procedures for potential, Euler and RANS equations, Computer and Fluids, Vol 17, pp. 85-98 (1989)
Quarteroni, A.: Domain Decomposition Methods for PDE’s, Oxford University Press (1999)
Amsden, A., Harlow, F.: A Simplified MAC Technique for Incompressible Fluid Flow Calcualtions, JCP, Vol 6, pp. 322-325 (1970)
Shatalov, A.: Ph.D. Dissertation, Univ. of Calfornia, Davis (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hafez, M., Shatalov, A., Nakajima, M. (2009). Improved Numerical Simulations of Incompressible Flows Based on Viscous/Inviscid Interaction Procedures. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_47
Download citation
DOI: https://doi.org/10.1007/978-3-540-92779-2_47
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92778-5
Online ISBN: 978-3-540-92779-2
eBook Packages: EngineeringEngineering (R0)