High-order non-reflecting boundary conditions for dispersive waves in polar coordinates using spectral elements |
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Authors: | Joseph M Lindquist Beny Neta Francis X Giraldo |
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Institution: | Department of Applied Mathematics, Naval Postgraduate School, 833 Dyer Road, Monterey, CA 93943, United States |
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Abstract: | High-order non-reflecting boundary conditions are introduced to create a finite computational space and for the solution of dispersive waves using a spectral element formulation with 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 unbounded domain problems in polar coordinate systems. |
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Keywords: | Klein-Gordon equation Polar coordinates Advection Dispersion High-order Non-reflecting boundary condition Spectral elements |
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