Abstract
Consistent integration of flow divergence and pressure gradient terms over interlocking mesh boxes preserves properties that enhance stability and convergence of discretized Navier-Stokes equations over regions partitioned with isoparametric quadrilaterals.
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References
Wachspress, E. L., “The numerical solution of turbulent flow problems in general geometry”, “Numerical Analysis”. Proceedings of the 8th Biennial Conference held in Dundee, Scotland, June 26–29, Edited by G. A. Watson. Lecture Notes in Mathematics. No. 773, pp. 146–163, Springer-Verlag, 1980. (The conservative pressure equations were derived in this reference).
Sani, R. L., P. M. Gresho, R. L. Lee, and D. F. Griffiths. “The cause and cure(?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations”. UCRL-84867. (August 1980 preprint of a paper to be published in the Intl. J. for Numerical Methods in Fluids).
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© 1982 Springer-Verlag
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Wachspress, E.L. (1982). Discrete pressure equations in incompressible flow problems. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092964
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DOI: https://doi.org/10.1007/BFb0092964
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