Analytical and numerical analysis of tides and salinities in estuaries; part I: tidal wave propagation in convergent estuaries

2011 ◽  
Vol 61 (11) ◽  
pp. 1719-1741 ◽  
Author(s):  
Leo C. van Rijn
Author(s):  
Z. Y. Song ◽  
C. Cheng ◽  
F. M. Xu ◽  
J. Kong

Based on the analytical solution of one-dimensional simplified equation of damping tidal wave and Heuristic stability analysis, the precision of numerical solution, computational time and the relationship between the numerical dissipation and the friction dissipation are discussed with different numerical schemes in this paper. The results show that (1) when Courant number is less than unity, the explicit solution of tidal wave propagation has higher precision and requires less computational time than the implicit one; (2) large time step is allowed in the implicit scheme in order to reduce the computational time, but the precision of the solution also reduce and the calculation precision should be guaranteed by reducing the friction factor: (3) the friction factor in the implicit solution is related to Courant number, presented as the determined friction factor is smaller than the natural value when Courant number is larger than unity, and their relationship formula is given from the theoretical analysis and the numerical experiments. These results have important application value for the numerical simulation of the tidal wave.


2007 ◽  
Vol 337 (3-4) ◽  
pp. 249-257 ◽  
Author(s):  
Yuqiang Xia ◽  
Hailong Li ◽  
Michel C. Boufadel ◽  
Qiaona Guo ◽  
Guohui Li

Author(s):  
S Z Zhao ◽  
X Y Xu ◽  
M W Collins

In this paper, the authors extend their study of wall mechanics given in Part 1 to the overall problem of fluid-solid interactions in arterial flows. Fluid-solid coupling has become a specific topic in computational methods and applied mechanics. In this review, firstly, the effects of elasticity of blood vessels on wave propagation and local flow patterns in large arteries are discussed. Then, numerical techniques are reviewed together with the alternative coupled methods available in fluid—wall models. Finally, a novel numerical algorithm combining two commercial codes for coupled solid/fluid problems is presented. As a consequence of the present studies, wall effects are now able to be included in predictions of haemodynamics in a clinical context.


2015 ◽  
Vol 57 (3) ◽  
pp. 1550008-1-1550008-29 ◽  
Author(s):  
Min Su ◽  
Peng Yao ◽  
Zheng B. Wang ◽  
Chang K. Zhang ◽  
Marcel J. F. Stive

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