Extension of Preissmann Scheme to Two-Dimensional Flows
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 10
Abstract
A numerical solution to the finite difference of two-dimensional (2D) depth-averaged equations on nonstaggered grid points is proposed in this technical note. Following a locally one-dimensional procedure, the basic equations are split into a pair of one-dimensional equations. Therefore, the solution of a 2D problem is reduced to the solution of a sequence of two one-dimensional problems. The discretization of the split one-dimensional equations is obtained with the use of the original Preissmann operator. Using Fourier’s classic linear analysis, stability, dissipation and dispersion with frictional resistance are investigated for the variations of the Courant number and weighting time factor.
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Information
Published In
Journal of Hydraulic Engineering
Volume 133 • Issue 10 • October 2007
Pages: 1171 - 1176
Copyright
© 2007 ASCE.
History
Received: Dec 30, 2004
Accepted: May 16, 2007
Published online: Oct 1, 2007
Published in print: Oct 2007
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