Abstract
Interest in transoceanic tsunami wave propagation has been revived recently. By adopting the World Geodetic System 1984 Earth model, this article presents a method to solve shallow-water long-wave equations on an ellipsoidal surface. Method of characteristics on a regular grid coupled with Strang-type splitting results in finite difference schemes with order (2, 2) accuracy both in space and time. Discontinuous solution (traveling shock wave) which may represent one kind of tsunami bore-propagating bore front step is discussed.
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