Summary
The weak statement theory is developed for construction of approximate solutions to laminar and turbulent Navier-Stokes (NS) equations for incompressible fluidthermal flow applications. Introduction of a domain discretization assists in finite element compact-support trial space basis construction. Implementation steps are highlighted for several NS reconstructions to account for the incompressibility constraint. Theoretical issues of accuracy and convergence are highlighted, and numerical benchmark test results document the important performance comparisons.
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
Lam, C. K. G. and K. Bremhorst, ASME J. Flu. Engr., 103, p. 456 (1981).
Baker, A. J., Hemisphere Publishers, 1983.
Chorin, A. J., J. Comp. Phys., 2, p. 12 (1967).
Baker, A. J. and J. W. Kim, Int. J. Num. Mtd. Flu., 7, p. 489 (1987).
Oden, J. T. and J. N. Reddy, Wiley-Interscience, 1976.
Ghia, U., K. N. Ghia and C. T. Shin, J. Comp. Phy., 48, p. 387 (1982).
Noronha, W. P., Ph.D. Dissertation, Univ. Tennessee (1989).
Carter, F. D. and A. J. Baker, J. Num. Heat Trans., Part B, in press (1990).
Armaly, B. F., et. al., J. Flu. Mech., 127, p. 473 (1983).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Baker, A.J. (1990). Finite Element Weak Statement CFD Algorithms for Fluid-Thermal System Analysis. In: Heller, M.R. (eds) Nuclear Simulation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84279-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-84279-5_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84281-8
Online ISBN: 978-3-642-84279-5
eBook Packages: Springer Book Archive