Investigating Castillo-Grone's Mimetic Difference Operators in Development of Geophysical Fluid Dynamics Models Implemented on GPGPUs by Mohammad Abouali. Abouali, M. Ph.D. Thesis, 2014.
Investigating Castillo-Grone's Mimetic Difference Operators in Development of Geophysical Fluid Dynamics Models Implemented on GPGPUs by Mohammad Abouali [pdf]Paper  Investigating Castillo-Grone's Mimetic Difference Operators in Development of Geophysical Fluid Dynamics Models Implemented on GPGPUs by Mohammad Abouali [link]Website  abstract   bibtex   
This research investigates the performance of Castillo-Grone's Mimetic (CGM) difference operators in 2D and 3D fully curvilinear grids. A software package is provided that assists the user in generating Laplacian operator in fully curvilinear grids using higher order CGM operators. Furthermore, a stability analysis is performed using von Neumann's analysis to understand the behavior of these operators in solving advection equation. A shallow water equation solver is provided that harnesses the power of the general ...

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