High-order non-reflecting boundary conditions for dispersive waves in polar coordinates using spectral elements
Lindquist, Joseph M.
Giraldo, Francis X.
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High-order non-reflecting boundary conditions are introduced to crerate a finite computational space and for the solution of dispersive waves using a spectral element formulation wit high-order time integration. Numerical examples are used to demonstrate the synergy of using high-order spatial time, and boundary discretization. We show that by balancing all numerical errors involved, high-order accuracy can be achieved for unbunded domain problems in polar coordinate systems.