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Neumann functions and image systems of the Laplacian in the spheroidal geometry
Title
Neumann functions and image systems of the Laplacian in the spheroidal geometry
Author
Edmiston, Robert
Date Created
2019
Subjects--Topical
Mathematics
Description
We apply the method of image charges from electrostatics to the study of the Neumannfunction for the Laplace operator, equivalent to the Green's function with a Neumannboundary condition imposed. Such an analysis has previously been given for the ...
THEORETICAL AND COMPUTATIONAL ANALYSIS OF SPECTRALLY HYPERVISCOUS MODELS OF TURBULENT FLOW
Title
THEORETICAL AND COMPUTATIONAL ANALYSIS OF SPECTRALLY HYPERVISCOUS MODELS OF TURBULENT FLOW
Author
Xiao, Chang
Date Created
2010
Subjects--Topical
Mathematics
Description
Computing turbulent flow is very difficult but forms the basis for computational experiments in Meteorology and Oceanography. To overcome the difficulty and complexity in turbulence computation, a spectrally hyperviscous version of Navier-Stokes e...
High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Title
High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Author
Wu, Jian
Date Created
2016
Subjects--Topical
Mathematics
Description
In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...