Abstract
This paper introduces a modified formula for geostrophic current. The method is based on utilization of the Volterra series expansion in the geostrophic current equation. The purpose of this method is to transform the time series JASON-1 satellite altimeter data into a real ocean surface current. Then, the Volterra kernel inversion used to acquire the sea surface current velocity. In doing so, the finite element model of Lax-Wendorff scheme used to determine the spatial variation of current flow. The results show that the new formula of geostrophic current is able to avoid the impact of Coriolis and geoid parameters. The second-order Volterra kernel illustrates an error standard deviation of 0.03, thus performing a better estimation of flow pattern as compared to first-order Volterra kernel. We conclude that modeling of sea surface current by using JASON-1 satellite altimeter data can be operationalized by using the new formula for geostrophic current.
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Marghany, M. (2009). Volterra – Lax-Wendroff Algorithm for Modelling Sea Surface Flow Pattern from Jason-1 Satellite Altimeter Data. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science VI. Lecture Notes in Computer Science, vol 5730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10649-1_1
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DOI: https://doi.org/10.1007/978-3-642-10649-1_1
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