A Stratified Dispersive Wave Model with High-Order Non-Reflecting Boundary Conditions
Joolen, Vince Van
MetadataShow full item record
A layered-model is introduced to approximate the effects of strat- ification on linearized shallow water equations. This time-dependent dispersive wave model is appropriate for describing geophysical (e.g. at- mospheric or oceanic) dynamics. However, computational models that embrace these very large domains that are global in magnitude can quickly overwhelm computer capabilities. The domain is there- fore truncated via artificial boundaries, and robust non-reflecting boundary conditions (NRBC) devised by Higdon are imposed. A scheme previously proposed by Neta and Givoli that easily discretizes high-order Higdon NRBC’s is used. The problem is solved by Finite Difference (FD) methods. Numerical examples follow the discussion.
Computers and Mathematics with Applications, 48, (2004), 1167–1180.