Numerical investigation of long-wave breaking on even bottom with linear friction

Abstract

Breaking of long-wave propagation on even bottom with linear friction is investigated numerically in this paper. This investigation is based on the very interesting analytical results obtained by Wu and Tian [1]. The governing equations have been discretised by MacCormack method which is an explicit, two-level and two-step method with second order accuracy for both space and time. Various numerical simulations have been conducted in order to find the breaking criterion. Interestingly, we found that the breaking criterion in this work is different from the breaking criterion obtained in aforementioned reference. The new breaking criterion is half of the breaking criterion which is previously obtained.

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