Numerical computation of bend-flows using a modified 2D depth-averaged model in curvilinear coordinates

作者：Liu Yuling; Shao Shipeng; Liu Zhe; Wei Wenli^*

来源：Energy Education Science and Technology Part A: Energy Science and Research , 2014, 32(1): 133-138.

• Boundary-fitted coordinates
• Centrifugal acceleration
• Curvilinear coordinate systems
• Curvilinear gird
• Depth-averaged modeling
• Numerical computations
• Operator splitting method
• Transverse momenta

Flows in curved channels are influenced by the centrifugal acceleration, which results in the secondary flow and the super-elevation in water surface. It is necessary to include the three dimensional flow characteristics in the 2D numerical model to simulate more accurately flows in curved channels. The purpose of this study is to modify the commonly-used two-dimensional horizontal shallow water model in a curvilinear coordinate system by considering the transverse momentum exchanges caused by the secondary flows in channel bends. The adopted boundary-fitted coordinate technology can generate a curvilinear gird being orthogonal near the boundaries. The modified two- dimensional governing water equations in curvilinear coordinates were solved by the operator splitting method and finite difference method. By using the modified shallow water mathematical model, the behaviors of the flows through the sequent bends have been computed; and the computational results coincide well with the measured data.

• 出版日期2014