Exact Solutions to Shallow Water Equations for a Water Oscillation Problem in an Idealized Basin and Their Use in Verifying Some Numerical Algorithms
Publication type: Journal Article
Publication date: 2019-07-01
scimago Q4
wos Q4
SJR: 0.207
CiteScore: 0.8
Impact factor: 0.5
ISSN: 19954239, 19954247
Numerical Analysis
Abstract
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.
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Matskevich N. A. et al. 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. No. 3. pp. 234-250.
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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. No. 3. pp. 234-250.
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TY - JOUR
DO - 10.1134/s1995423919030030
UR - https://doi.org/10.1134/s1995423919030030
TI - Exact Solutions to Shallow Water Equations for a Water Oscillation Problem in an Idealized Basin and Their Use in Verifying Some Numerical Algorithms
T2 - Numerical Analysis and Applications
AU - Matskevich, N A
AU - Chubarov:, L B
PY - 2019
DA - 2019/07/01
PB - Pleiades Publishing
SP - 234-250
IS - 3
VL - 12
SN - 1995-4239
SN - 1995-4247
ER -
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BibTex (up to 50 authors)
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@article{2019_Matskevich,
author = {N A Matskevich and L B Chubarov:},
title = {Exact Solutions to Shallow Water Equations for a Water Oscillation Problem in an Idealized Basin and Their Use in Verifying Some Numerical Algorithms},
journal = {Numerical Analysis and Applications},
year = {2019},
volume = {12},
publisher = {Pleiades Publishing},
month = {jul},
url = {https://doi.org/10.1134/s1995423919030030},
number = {3},
pages = {234--250},
doi = {10.1134/s1995423919030030}
}
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MLA
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Matskevich, N. A., et al. “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, vol. 12, no. 3, Jul. 2019, pp. 234-250. https://doi.org/10.1134/s1995423919030030.