A hybrid spectral/finite-difference to transient free-surface flow inside thin symmetric cavities of longitudinally varying thickness

2005 ◽  
Vol 48 (1) ◽  
pp. 61-83
Author(s):  
Jie Zhang ◽  
Roger E. Khayat
Keyword(s):  
Free Surface ◽  
Finite Difference ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Varying Thickness

Modelling free-surface flow in water distribution systems with regulating gates

2020 ◽  
Author(s):  
Zhonghao Mao ◽  
Guanghua Guan ◽  
Zheli Zhu
Keyword(s):  
Free Surface ◽  
Finite Difference ◽  
Distribution Systems ◽  
Water Distribution ◽  
Finite Difference Methods ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Discretization Method ◽  
Saint Venant Equations ◽  
Difference Methods

<p>Canal automatic control is an important tool to improve the management level of water distribution systems, while an important method to evaluate the effect is controller is using numerical simulations. The free-surface flow in such system can be modelled using the Saint-Venant equations, while the regulating gates are usually treated as inner boundaries where gate discharge formula is adopted. In the previous research, the Saint-Venant equations are normally discretized using the implicit finite difference methods because of their accuracy and simplicity. However, it is difficult to incorporate the inner boundary conditions in the computation of implicit method. To circumvent this problem, this paper presents a hybrid discretization method, which adopts the state-of-art finite volume methods at regulating gates and finite difference methods elsewhere. This new discretization method can preserve the computational speed advantage of finite difference method and capture the wave propagation near the regulating gates. Which can provide reliable evidence for the design of controllers.</p>

scholarly journals Laminar free-surface flow into a vertical cylinder

1975 ◽  
Vol 3 (1) ◽  
pp. 51-68 ◽  
Author(s):  
Thomas G. Smith ◽  
J.O. Wilkes
Keyword(s):  
Free Surface ◽  
Vertical Cylinder ◽  
Free Surface Flow ◽  
Surface Flow
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