A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics

2012 ◽  
Vol 71 (5) ◽  
pp. 584-633 ◽  
Author(s):  
A. I. Delis ◽  
I. K. Nikolos





Author(s):  
A.V. Pisarev ◽  
◽  
S.S. Khrapov ◽  
E.O. Agafonnikova ◽  
A.V. Khoperskov ◽  
...  


2014 ◽  
Vol 45 (6) ◽  
pp. 1135
Author(s):  
A.K. Daoui ◽  
H. Triki ◽  
M. Mirzazadeh ◽  
A. Biswas


2020 ◽  
Vol 120 (3-4) ◽  
pp. 319-336
Author(s):  
Xintao Li ◽  
Shoujun Huang ◽  
Weiping Yan

This paper studies the wave-breaking mechanism and dynamical behavior of solutions near the explicit self-similar singularity for the two component Camassa–Holm equations, which can be regarded as a model for shallow water dynamics and arising from the approximation of the Hamiltonian for Euler’s equation in the shallow water regime.



2010 ◽  
Vol 32 (3-4) ◽  
pp. 132-142 ◽  
Author(s):  
A. Mohammadian ◽  
John Marshall




2009 ◽  
Vol 62 (3) ◽  
pp. 322-333 ◽  
Author(s):  
Alexandre Dutrifoy ◽  
Steven Schochet ◽  
Andrew J. Majda


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