Summary
The paper deals with the application of BEM to time dependent energy and momentum transport in laminar flow of an incompressible viscous fluid. The Boussinesq approximation is used to consider the buoyancy effects.
Although it is possible to obtain numerical solutions from the physical variables approach, Tanaka [5], or vorticity-stream function approach, Onishi [3], the velocity-vorticity formulation is used in this paper. The velocity-vorticity formulation was originated by Wu and his co-workers [6], and later further developed by Skerget et al. [4].
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.
References
Brebbia, C.A.; Telles,J. and Wrobel, L.C.: Boundary Element Method — Theory and Applications. Springer-Verlag, New York 1984.
De Vahl Davis, G.: Natural Convection of Air in a Square Cavity: A Bench Mark Numerical Solution. Int. J. Num. Meth. in Fluids (1983), Vol. 3, pp. 249–264.
Onishi, K.; Kuroki, T. and Tanaka, M.: Boundary Element Method for Laminar Viscous Flow and Convective Diffusion Problems. Topics in Boundary Element Research (Ed. C.A. Brebbia) (1985), Vol. 2, Chapter 8, pp. 209–229. Springer-Verlag, Berlin and New York
Skerget, P.; Alujevic, A.; Kuhn, G. and Brebbia, C.A.: Natural Convection Flow Problems by BEM. 9th Int. Conf. on BEM, Stuttgart. Computational Mechanics Publications, Springer-Verlag 1987.
Tosaka, N.; Kakuda, K.: Numerical Simulation for Incompressible Viscous Flow Problems Using the Integral Equation Method. 8th Int. Conf. on BEM, Tokio, Springer-Verlag 1986.
Wu, J.C.; Rizk, Y.M. and Sankar, N.L.: Problems of Time-Dependent Navier-Stokes Flow. Developments in Boundary Element Methods (1984), Vol. 3, Ch. 6, Elsevier Applied Science Publishers, London and New York.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kuhn, G., Skerget, P. (1988). Boundary Elements for Non-Stationary Mixed-Convection Flow Problems. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_33
Download citation
DOI: https://doi.org/10.1007/978-3-642-61381-4_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64818-2
Online ISBN: 978-3-642-61381-4
eBook Packages: Springer Book Archive