Convergence analysis of a space-time approximation to a two-dimensional system of shallow water equations

2004 ◽  
Vol 83 (8) ◽  
pp. 757-785 ◽  
Author(s):  
Stefania Ferrari
2011 ◽  
Vol 101-102 ◽  
pp. 392-395
Author(s):  
Ji Lun Miao ◽  
Xiao Xin Fei ◽  
Cheng Lin Huang

A new horizontal two-dimensional mathematic scheme namely space-time Conservation Element and Solution Element (CE-SE) is introduced in this paper. The CE-SE method has some features which space and time are unified and treated on the same footing, both local and global flux are enforced conservation. The proposed model is applied to solve the 2-D shallow water equations in the triangular mesh, and tested by using the field data in Yangzi River. It shows that the hydraulics characters in natural rivers which are with complex boundaries and topography can be well simulated by using this new method.


Water ◽  
2021 ◽  
Vol 13 (16) ◽  
pp. 2152
Author(s):  
Gonzalo García-Alén ◽  
Olalla García-Fonte ◽  
Luis Cea ◽  
Luís Pena ◽  
Jerónimo Puertas

2D models based on the shallow water equations are widely used in river hydraulics. However, these models can present deficiencies in those cases in which their intrinsic hypotheses are not fulfilled. One of these cases is in the presence of weirs. In this work we present an experimental dataset including 194 experiments in nine different weirs. The experimental data are compared to the numerical results obtained with a 2D shallow water model in order to quantify the discrepancies that exist due to the non-fulfillment of the hydrostatic pressure hypotheses. The experimental dataset presented can be used for the validation of other modelling approaches.


1998 ◽  
Vol 32 (10) ◽  
pp. 1116-1118
Author(s):  
N. S. Averkiev ◽  
A. M. Monakhov ◽  
A. Yu. Shik ◽  
P. M. Koenraad

1988 ◽  
Vol 61 (10) ◽  
pp. 1214-1217 ◽  
Author(s):  
Isaac Freund ◽  
Michael Rosenbluh ◽  
Richard Berkovits ◽  
Moshe Kaveh

2008 ◽  
Vol 31 (19) ◽  
pp. 3297-3308 ◽  
Author(s):  
Paola Dugo ◽  
Francesco Cacciola ◽  
Miguel Herrero ◽  
Paola Donato ◽  
Luigi Mondello

2021 ◽  
pp. 105152
Author(s):  
Victor Michel-Dansac ◽  
Christophe Berthon ◽  
Stéphane Clain ◽  
Françoise Foucher

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