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Refinement Indicator for Dynamic-Mesh Adaption in Three-Dimensional Shallow-Water Equation Modeling
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.
Refinement Indicator for Dynamic-Mesh Adaption in Three-Dimensional Shallow-Water Equation Modeling
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.
Refinement Indicator for Dynamic-Mesh Adaption in Three-Dimensional Shallow-Water Equation Modeling
Savant, Gaurav (author) / Trahan, Corey J. (author) / Berger, Charlie (author) / McAlpin, Jennifer T. (author) / McAlpin, Tate O. (author)
2017-11-16
Article (Journal)
Electronic Resource
Unknown
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