Three-dimensional numerical simulation of tsunami waves based on the navier-stokes equations

A numerical algorithm of solving the three-dimensional system of Navier-Stokes equations to simulate free surface waves and flows with gravity is presented. The main problem here is to ensure that the gravity force is properly accounted in the presence of discontinuities in the medium density. The task is made more complicated due the use of unstructured computational grids with collocated placement of unknown quantities and splitting algorithms based on SIMPLE-type methods. To obtain correctly the hydrostatic pressure, it is suggested that the contribution of the gravitational force in the equation for pressure should be distinguished explicitly; the latter being calculated by using the solution of the two-phase medium gravitational balance problem. To ensure the balance of the gravity force and the pressure gradient in the case of rest an algorithm in which the pressure gradient in the equation of motion is replaced by a modification considering the gravitational force action is suggested. This method is demonstrated by the example of tsunami wave propagation in the real water area of the World Ocean. © 2017 - TSUNAMI SOCIETY INTERNATIONAL.

Авторы
Kozelkov A.1, 2 , Efremov V.3 , Kurkin A. 2, 4 , Pelinovsky E.2, 5 , Tarasova N.1 , Strelets D.6
Редакторы
-
Издательство
Tsunami Society
Номер выпуска
4
Язык
Английский
Страницы
183-196
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
-
Том
36
Год
2017
Организации
  • 1 Russian Federal Nuclear Center, All-Russian Scientific Research Institute of Experimental Physics, Sarov, Russian Federation
  • 2 Nizhny Novgorod State Technical University named after R. E. Alekseev, Nizhny Novgorod, Russian Federation
  • 3 Joint Stock Company ‘Instrument Engineering Design Bureau named after Academician A.G. Shipunov’, Tula, Russian Federation
  • 4 Institute of Space Technologies, Peoples’ Friendship University of Russia, Moscow, Russian Federation
  • 5 Institute of Applied Physics, Nizhny Novgorod, Russian Federation
  • 6 Moscow Aviation Institute, Moscow, Russian Federation
Ключевые слова
-
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5168/