Thus study demonstrates the advantages of a recently-developed irregular-grid modelingtechnique (Nolte, 1996). This technique can model irregular interfaces more accuratelythan a standard regular-grid finite-difference method. I show this by comparison of bothmethods for a simple model containing a sloping interface. While the discrete approximation to the sloping interface results in numerical inaccuracies for the finite-difference method, the irregular-grid technique produces superior results. I then show that the method can also be applied to a free surface with irregular topography, suggesting that it may be a valuable alternative to existing finite-difference free-surface algorithms.
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