Summary
We seek a numerical scheme to describe the transport of a passive scalar. Our scheme should satisfy the requirement that sharp gradients in the concentration field are not smoothed out. Furthermore the scalar should always be positive. The field of application is the calculation of turbulent transport in large-eddy simulation of a turbulent flow, but the results apply also to other fields of fluid dynamics. Several candidates for numerical schemes are described and examined with the aid of test problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Smolarkiewicz P.K. (1984) A fully multi-dimensional positive definite advection transport algorithm with small implicit diffusion. J.Comp.Phys. 54, 325–326.
Leer, B. Van (1974) Towards the Ultimate Conservative Difference Scheme. II. Monotonicity and Conservation Combined in a Second-Order Scheme. J.Comp.Physics 14, 361–370.
Zalesak, S.T. (1979) A fully multidimensional flux-corrected transport algorithm for fluids. J.Comp.Phys. 31, 335–362.
Egan, B.A. and Mahoney J.R. (1972) Numerical modelling of advection and diffusion of urban area source pollutants. J.Appl.Meteor. 11, 312–322.
Godunov, S.K. (1959) Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics. Mat.Sb. 47, 271.
Pourquié, M.J.B.M. (1990) Numerical comparison of advection schemes to be used on a coarse grid. Internal report MEAH-94, Laboratory for Aero-and Hydrodynamics, Delft University of Technology.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Fachmedien Wiesbaden
About this paper
Cite this paper
Pourquié, M., Nieuwstadt, F.T.M. (1992). Comparison of Some Numerical Schemes for the Advection of a Passive Positive Scalar on a Coarse Grid. In: Vos, J.B., Rizzi, A., Ryhming, I.L. (eds) Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 35. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13974-4_33
Download citation
DOI: https://doi.org/10.1007/978-3-663-13974-4_33
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07635-1
Online ISBN: 978-3-663-13974-4
eBook Packages: Springer Book Archive