Models are developed for a state-of-the-art time-domain ship motion program to predict ship motions during flooding and green water on deck events. Water mass from the flooding and green water is incorporated into the dynamic equations of motion using time-dependent mass and moment of inertia terms. Green water on deck includes three subproblems: the problem of water shipping on deck, the problem of motion of water trapped on the deck, and the problem of water escaping off the deck. This research looks at the first two suproblems, both of which involve shallow water wave theory. Glimms method, also called the Random Choice Method, and the Flux Difference Splitting Method are both investigated as solution techniques for the motion of water on deck. This work provides a tool to estimate ship damaged stability and examine the effects of progressive flooding.


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