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Сибирские электронные математические известия, 2014, том 11, страницы C.115–C.120
(Mi semr558)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Труды конференций
Fast algorithm for calculation of the moving tsunami wave height
O. I. Krivorotko Novosibirsk State University, Pirogova street 2, 630090, Novosibirsk, Russia
Аннотация:
One of the most urgent problems of mathematical tsunami
modeling is estimation of a tsunami wave height while a wave approaches
to the coastal zone. There are two methods for solving this problem,
namely, Airy–Green formula in one-dimensional case
$$
S^{(l)}(x)=S^{(l)}(0)\cdot\root4\of{H(0)/H(x)},
$$
and numerical solution of an initial-boundary value problem for linear
shallow water equations (LSWE) that depends on three variables. The
main difficulty problem of tsunami modeling is a very big size of the
computational domain. The calculation of the solution of LSWE (the
function of three variables) in this domain requires large computing
resources. We construct a new algorithm to solve numerically the problem
of determining the moving tsunami wave height for linear source which
is based on kinematic-type approach and analytical representation of
fundamental solution of LSWE. We get the expression of the moving
tsunami wave height for the point source and demonstrate connections
between tsunami amplitude for point, linear and arbitrary sources.
Ключевые слова:
shallow water equations, eikonal equation, tsunami wave height, finite-difference scheme.
Поступила 15 мая 2014 г., опубликована 25 декабря 2014 г.
Образец цитирования:
O. I. Krivorotko, “Fast algorithm for calculation of the moving tsunami wave height”, Сиб. электрон. матем. изв., 11 (2014), C.115–C.120
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr558 https://www.mathnet.ru/rus/semr/v11/p115
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