Role of Artificial Dissipation Scaling and Multigrid Acceleration in Numerical Solutions of the Depth-Averaged Free-Surface Flow Equations
Publication: Journal of Hydraulic Engineering
Volume 131, Issue 6
Abstract
A numerical model is developed for solving the depth-averaged, open-channel flow equations in generalized curvilinear coordinates. The equations are discretized in space in strong conservation form using a space-centered, second-order accurate finite-volume method. A nonlinear blend of first- and third-order accurate artificial dissipation terms is introduced into the discrete equations to accurately model all flow regimes. Scalar- and matrix-valued scaling of the artificial dissipation terms are considered and their effect on the accuracy of the solutions is evaluated. The discrete equations are integrated in time using a four-stage explicit Runge–Kutta method. For the steady-state computations, local time stepping, implicit residual smoothing, and multigrid acceleration are used to enhance the efficiency of the scheme. The numerical model is validated by applying it to calculate steady and unsteady open-channel flows. Extensive grid sensitivity studies are carried out and the potential of multigrid acceleration for steady depth-averaged computations is demonstrated.
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Acknowledgments
This work was supported by a grant from the Georgia Water Resources Institute and by NSF CAREER Award No. 9875691.
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Published In
Journal of Hydraulic Engineering
Volume 131 • Issue 6 • June 2005
Pages: 476 - 487
Copyright
© 2005 ASCE.
History
Received: Jul 15, 2003
Accepted: Aug 31, 2004
Published online: Jun 1, 2005
Published in print: Jun 2005
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