A Taylor Weak Statement CFD Algorithm for Free Surface Hydromechanical Flows

A finite element CFD algorithm is established for the two-dimensional, unsteady depth-averaged free surface Navier-Stokes equations for an incompressible isoenergetic flow. The governing equation set is cast in hyperbolic conservation law form, whereupon a temporal Taylor series is utilized to estab...

Full description

Saved in:
Bibliographic Details
Published inDevelopments in Water Science Vol. 36; pp. 77 - 82
Main Authors Baker, A.J., Iannelli, G.S.
Format Book Chapter
LanguageEnglish
Published Elsevier B.V 1988
Online AccessGet full text
ISBN9780444989116
0444989110
ISSN0167-5648
DOI10.1016/S0167-5648(08)70074-1

Cover

More Information
Summary:A finite element CFD algorithm is established for the two-dimensional, unsteady depth-averaged free surface Navier-Stokes equations for an incompressible isoenergetic flow. The governing equation set is cast in hyperbolic conservation law form, whereupon a temporal Taylor series is utilized to establish truncation error terms. The resulting Taylor weak statement embeds functional expressions dominating dispersion and dissipation error mechanisms of the semi-discrete approximation. Theoretical analyses are developed to characterize these mechanisms for the linear basis implementation. An efficient numerical linear algebra procedure is developed using matrix tensor products. Numerical results are highlighted that document algorithm performance.
ISBN:9780444989116
0444989110
ISSN:0167-5648
DOI:10.1016/S0167-5648(08)70074-1