Numerical simulation of atmospheric flow on variable grids using the Galerkin finite element method.

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Author
Hinsman, Donald E.
Date
1983-03Advisor
Williams, R.T.
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Show full item recordAbstract
A hypothesis is made that the Galerkin Finite Element
Method (GFEM) offers a viable option to the traditional
Finite Difference Method (FDM) for numerical weather prediction. The shallow water barotropic primitive equations are
the forecast equations for all experiments. The hypothesis
is tested by observing simple, analytic, atmospheric wave
propagation on uniform and variable mesh grids. Second, a
strongly forced solution simulating small scale nonlinear
interactions is evaluated for both the GFEM and FDM.
Finally, a variable, moving grid for a GFEM model is
compared to a uniform, higher resolution GFEM model for a
strong vortex in a mean flow. The GFEM shows a better
propagation for simple atmospheric waves and better prediction
to a forced nonlinear solution than the FDM model. A
moving variable grid follows an area of strong gradients
while not generating noise in the transition zone.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
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