Forecasting water waves and currents : a space-time approach


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Ambati, Vijaya Raghav (2008) Forecasting water waves and currents : a space-time approach. thesis.

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Abstract:Forecasting water waves and currents in near shore and off shore regions of
the seas and oceans is essential to maintain and protect our environment
and man made structures. In wave hydrodynamics, waves can be classified
as shallow and deep water waves based on its water depth. The mathe-
matical models of these waves are shallow water and free surface gravity
water wave equations which describe the hydrodynamics of waves and cur-
rents near shore and off shore regions of seas and oceans. The complexity
in these models exist as moving boundaries whose position depends on the
solution of the governing equations. For shallow water waves, it is the shore
line boundary where the water depth falls dry and for deep water waves,
it is the free surface which separates the sea or ocean from atmospheric
air. It is often difficult to solve these wave equations analytically while
solving them numerically in an efficient and accurate way is a challenging
task because of the moving boundaries. The numerical challenges are two
fold: one is to develop a numerical method which is accurate and efficient
for deforming grids and the other is to design a numerical algorithm for
the grid adaptation following the moving boundaries. In this thesis, we
aimed at first developing space-time discontinuous Galerkin finite element
schemes for shallow water and free surface gravity water wave equations
which are accurate and efficient for deforming grids.
Item Type:Thesis
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/58694
Official URL:http://dx.doi.org/10.3990/1.9789036526326
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