On the Application of Shallow Water Theory to Modeling Wave Flows with Hydraulic Bores

被引:2
作者
Ostapenko, V. V. [1 ]
机构
[1] Russian Acad Sci, Siberian Branch, Lavrentyev Inst Hydrodynam, Nobosibirsk, Russia
关键词
shallow water theory; integral conservation laws; hydraulic bores; local hydrostatic approximation; EQUATIONS;
D O I
10.1134/S0015462818060071
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The basic conservation laws of the shallow water theory are deduced from the multidimensional integral conservation laws of mass and total impulse describing the flow of ideal incompressible fluid over the horizontal bottom. This derivation is based on the concept of the local hydrostatic approximation which generalizes the long wave approximation and is used to justify the application of the shallow water theory to modeling wave flows of fluid with hydraulic bores.
引用
收藏
页码:19 / 33
页数:15
相关论文
共 50 条
[21]   A Numerical Framework for Pollutant Transport in Shallow-Water Flows: Application to the Niger River in Bamako [J].
Samake, Abdoulaye ;
Alassane, Mahamadou ;
Mahamane, Amadou .
JOURNAL OF APPLIED MATHEMATICS, 2025, 2025 (01)
[22]   Beyond Shallow Water: Appraisal of a numerical approach to hydraulic jumps based upon the Boundary Layer theory [J].
De Vita, Francesco ;
Lagree, Pierre-Yves ;
Chibbaro, Sergio ;
Popinet, Stephane .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2020, 79 :233-246
[23]   TWO SHALLOW-WATER TYPE MODELS FOR VISCOELASTIC FLOWS FROM KINETIC THEORY FOR POLYMERS SOLUTIONS [J].
Narbona-Reina, Gladys ;
Bresch, Didier .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2013, 47 (06) :1627-1655
[24]   A Hybrid Second Order Scheme for Shallow Water Flows [J].
Martinez-Gavara, A. ;
Donat, R. .
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 48 (1-3) :241-257
[25]   STABILITY OF SHEAR SHALLOW WATER FLOWS WITH FREE SURFACE [J].
Chesnokov, A. A. ;
El, G. A. ;
Gavrilyuk, S. L. ;
Pavlov, M. V. .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2017, 77 (03) :1068-1087
[26]   FINITE VOLUMES FOR THE SIMULATION OF UNSTEADY SHALLOW WATER FLOWS [J].
Garcia-Navarro, P. ;
Murillo, J. .
PROCEEDINGS OF THE XVIII INTERNATIONAL CONFERENCE ON COMPUTATIONAL METHODS IN WATER RESOURCES (CMWR 2010), 2010, :19-58
[27]   Projection finite volume method for shallow water flows [J].
Benkhaldoun, Fayssal ;
Sari, Saida ;
Seaid, Mohammed .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 118 :87-101
[28]   Justification of Shallow-Water Theory [J].
Ostapenko, V. V. .
DOKLADY PHYSICS, 2018, 63 (01) :33-37
[29]   Numerical simulation of Rossby wave in shallow water [J].
Sun, Wen-Yih ;
Sun, Oliver M. .
COMPUTERS & FLUIDS, 2013, 76 :116-127
[30]   FINITE-VOLUME MULTI-STAGE SCHEME FOR ADVECTION-DIFFUSION MODELING IN SHALLOW WATER FLOWS [J].
Guo, W. -D. ;
Lai, J. -S. ;
Lin, G. -F. ;
Lee, F. -Z. ;
Tan, Y. -C. .
JOURNAL OF MECHANICS, 2011, 27 (03) :415-430