Padé coefficients for the solution of the wave dispersion equation under ice |
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| Authors: | VM Arunachalam O Grande DB Muggeridge |
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| Institution: | Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John''s, Newfoundland A1B 3X5, Canada |
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| Abstract: | The equations governing the propagation of linear gravity waves in ice-covered waters of finite depth is delineated for the linear elastic deformation of the ice plates that are modeled as elastically supported. The possible limiting condition for the validity of the assumptions involved in the formulation of the problem is discussed. A solution procedure for the solution of the wave dispersion equation under ice is discussed and a set of coefficients synthesized using the properties of infinite series and Padé approximants. Direct application of these coefficients for the calculation of wave characteristics in ice-covered sea will eliminate the need for iterative procedure, and hence will reduce the computational time. The derived coefficients were used for the computation of the wave characteristics of laboratory simulated waves and compared with the values obtained through iteration and the error was found to be less than 2%. |
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