Refinement Indicator for Dynamic-Mesh Adaption in Three-Dimensional Shallow-Water Equation Modeling
Publication: Journal of Hydraulic Engineering
Volume 144, Issue 2
Abstract
One of the basic articles of discretization-based numerical modeling of three-dimensional shallow water equations is the spatial convergence of the mesh utilized. The process of creating a spatially converged mesh involves refining the mesh until the solution for the quantity of interest does not change within some user-defined tolerance. This process is cumbersome in three-dimensions, and in the absence of a spatially converged mesh, the numerical results may be erroneous. This technical note introduces a norm of the three-dimensional continuity equation residual-based refinement indicator to flag regions of the mesh requiring refinement. The method is implemented through -adaption in a finite-element method–based code and results of this implementation are presented.
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Information
Published In
Journal of Hydraulic Engineering
Volume 144 • Issue 2 • February 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Feb 27, 2017
Accepted: Jun 27, 2017
Published online: Nov 16, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 16, 2018
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