Abstract
A new mapped infinite wave envelope element is developed to model two-dimensional unbounded water wave problems in conjunction with wave finite elements. The infinite elements may be used on the exterior of an ellipse or other shapes. Examples are implemented to test the model for the two special cases of circular and elliptical cylinder diffraction problems. Comparisons are made between the analytical and finite/infinite element solutions. The errors are small, around 2% for a very coarse mesh and decrease to around 0.5% when the wave envelope infinite elements are located reasonably far from the diffracting object, i.e. at a distance equal to the semi-major axis of the ellipse.
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