Abstract
The optimal numerical realization of the energy balance equation in wind wave models is proposed. The scheme is separated into two parts: the numerical source term integration and the energy propagation numerical realization. The first one is based on a spreading numerical method. Semi-analytical solution is used for integration of source term, which includes the wind wave input, dissipation term and exact non-linear energy transfer function. The energy propagation numerical realization is based on the utilisation of the diffusive operator, which is implemented in the semi-Lagrangian numerical method. It gives opportunity to remove the garden-sprinkler effect of the energy balance equation solution for the case of wind wave propagation in the ocean. The new technique yields accurate results and has the additional advantage of being numerically stable, thereby allowing the use of a large time step (three hours and more). The method could be regarded as a general alternative for the numerical realization of energy balance equation in the models.
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Lavrenov, I.V. (2003). Optimal Numerical Realization of the Energy Balance Equation for Wind Wave Models. In: Sloot, P.M.A., Abramson, D., Bogdanov, A.V., Gorbachev, Y.E., Dongarra, J.J., Zomaya, A.Y. (eds) Computational Science — ICCS 2003. ICCS 2003. Lecture Notes in Computer Science, vol 2658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44862-4_20
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DOI: https://doi.org/10.1007/3-540-44862-4_20
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