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Application of a finite element method to the barotropic primitive equations.

Donald Ernest Hinsman

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Abstract

A finite element application to the barotropic primitive equations is presented including theoretical development and the model used. Analytic initial data is generated in order to verify as well as possible the accuracy of the model. A comparison of the model with similar finite difference schemes shows that this finite element method exhibits better phase speed propagation than comparable second and fourth order finite differencing and is competitive in the size of the allowable time step.

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A finite element application to the barotropic primitive equations is presented including theoretical development and the model used. Analytic initial data is generated in order to verify as well as possible the accuracy of the model. A comparison of the model with similar finite difference schemes shows that this finite element method exhibits better phase speed propagation than comparable second and fourth order finite differencing and is competitive in the size of the allowable time step.

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Available abstract

A finite element application to the barotropic primitive equations is presented including theoretical development and the model used. Analytic initial data is generated in order to verify as well as possible the accuracy of the model. A comparison of the model with similar finite difference schemes shows that this finite element method exhibits better phase speed propagation than comparable second and fourth order finite differencing and is competitive in the size of the allowable time step.

Key concepts: Finite element method, Barotropic fluid, Mathematics, Calculus (dental), Mathematical analysis, Primitive equations, Applied mathematics, Computer science

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