Инд. авторы:	Matskevich N.A., Chubarov L.B.
Заглавие:	Exact Solutions to Shallow Water Equations for a Water Oscillation Problem in an Idealized Basin and Their Use in Verifying Some Numerical Algorithms
Библ. ссылка:	Matskevich N.A., Chubarov L.B. Exact Solutions to Shallow Water Equations for a Water Oscillation Problem in an Idealized Basin and Their Use in Verifying Some Numerical Algorithms // Numerical Analysis and Applications. - 2019. - Vol.12. - Iss. 3. - P.234-250. - ISSN 1995-4239. - EISSN 1995-4247.
Внешние системы:	DOI: 10.1134/S1995423919030030; РИНЦ: 41636805; SCOPUS: 2-s2.0-85071735364; WoS: 000485274000003;
Реферат:	eng: We present some approaches to solving a problem of shallow water oscillations in a parabolic basin (including an extra case of a horizontal plane). Some requirements on the form of the solutions and effects of Earth's rotation and bottom friction are made. The resulting solutions are obtained by solving ODE systems. The corresponding free surfaces are first- or second-order ones. Some conditions of finiteness and localization of the flow are analyzed. The solutions are used to verify the numerical algorithm of the large-particle method. The efficiency of the method is discussed in tests on wave run-up on shore structures.
Ключевые слова:	wave run-up; WAVE RUN-UP; verification; large-particle method; numerical algorithms; ordinary differential equations; exact solutions; shallow water equations; mathematical modeling; bottom friction; Coriolis force; free surface;
Издано:	2019
Физ. характеристика:	с.234-250
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