Computational Technologies and Mathematical Models for Research, Engineering and Education

Almaty, Kazakhstan, September, 18-20, 2002

Abstracts

Mathematical Modelling

ON ACCURACY OF THE CALCULATION OF DUNAMICS CHARACTERISTICS OF LONG WAVES WITH THEIR RUNUP ON NON-UNIFORM SLOPES.

Fedotova Z.I., Chubarov L.B.

Institute of Computational Technologies SB RAS (Novosibirsk)

In the work the approaches to numerical modeling of dynamics of long waves in a coastal zone of sea water areas are described. The attention to these tasks is caused by that runup of long waves of a various origin on a coast frequently causes catastrophic consequences. In a coastal region most interesting and difficult for modeling are the processes of runup of waves on a coast and subsequent reflection. With the solving of a task of such type various ways of simplification of a configuration of a coastal line and bathymetry frequently are applied.
Authors have investigated the question on an admissibility of various model situations. For reception of quantitative results there are used both one-dimensional and two-dimensional cases (piecewise-linear slopes and a conic island in the centre of a flat basin). In particular, is shown, that with significant nonlinearity of process such ways of simplification of geometry of a coastal zone as replacement of a slope by a vertical impenetrable wall or the smoothing of bottom surface may result in significant errors in calculation of runup values and time characteristics of arrival of waves.

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Note. Abstracts are published in author's edition

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