Surface wave predictions in weakly nonlinear directional seas |
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| Institution: | 1. Department of Mathematics, University of Oslo, PO Box 1053 Blindern, NO-0316 Oslo, Norway;2. Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway;3. Signal Theory and Communications Department, Superior Polytechnic School, University of Alcalá, Alcalá de Henares, 28805 Madrid, Spain;1. DTU Mechanical Engineering, Technical University of Denmark, Kgs. Lyngby, Denmark;2. Centre for Autonomous Marine Operations and Systems, NTNU AMOS, Trondheim, Norway;1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116023, China;2. Department of Ocean Engineering, Texas A&M University, Galveston and College Station, TX, 77554, USA;1. Department of Mathematics, University of Oslo, PO Box 1053, Blindern, NO-0316 Oslo, Norway;2. Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway;3. Signal Theory and Communications Department, Superior Politechnic School, University of Alcalá, Alcalá de Henares, 28805 Madrid, Spain;1. Baylor University, Departments of Geosciences and Mechanical Engineering, One Bear Place #97354, Waco, TX 76798-2534, USA;2. University of Notre Dame, Department of Chemical and Biomolecular Engineering, Notre Dame, IN 46556-5637, USA;3. IBM Research, Dublin, Ireland |
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| Abstract: | We have employed laboratory and numerical experiments in order to investigate propagation of waves in both long and short-crested wave fields in deep water. For long-crested waves with steepness, ? = kcac = 0.1 (a fairly extreme case), reliable prediction can be performed with the modified nonlinear Schrödinger equation up to about 40 characteristic wavelengths. For short-crested waves the accuracy of prediction is strongly reduced with increasing directional spread. |
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