Analytical solution to a hydrodynamic model in an open uniform reservoir

被引：3
|
作者：
Thongtha, Kaboon [1 ,2 ]
Kasemsuwan, Jaipong [1 ]
机构：
[1] King Mongkuts Inst Technol Ladkrabang, Dept Math, Fac Sci, Bangkok 10520, Thailand
[2] CHE, Ctr Excellence Math, Si Ayutthaya Rd, Bangkok 10400, Thailand
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
separation of variables method; hydrodynamic model; open uniform reservoir; water elevation;
D O I：
10.1186/s13662-017-1205-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The hydrodynamic model is used to determine the water wave flow. In this research, a nondimensional form of a two-dimensional hydrodynamic model with generalized boundary condition g(x, t) and initial conditions for describing the elevation of water wave in an open uniform reservoir is proposed. The separation of variables method with mathematical induction is employed to find an analytical solution to the model. An example of flow calculations in an open uniform reservoir is also demonstrated.
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页数：9
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