scholarly journals Conservative Semi-Lagrangian Scheme Applied to One-Dimensional Shallow Water Equations

2007 ◽  
Vol 18 (4) ◽  
pp. 777 ◽  
Author(s):  
Wen-Yih Sun
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
One Dimensional ◽  
Lagrangian Scheme

Semi-Lagrangian exponential time-integration method for the shallow water equations on the cubed sphere grid

2020 ◽  
Vol 35 (6) ◽  
pp. 355-366
Author(s):  
Vladimir V. Shashkin ◽  
Gordey S. Goyman
Keyword(s):  
Shallow Water ◽  
Gravity Waves ◽  
Shallow Water Equations ◽  
Time Integration ◽  
Standard Test ◽  
Integration Scheme ◽  
Test Problems ◽  
Cubed Sphere ◽  
Lagrangian Scheme ◽  
Inertia Gravity Waves

AbstractThis paper proposes the combination of matrix exponential method with the semi-Lagrangian approach for the time integration of shallow water equations on the sphere. The second order accuracy of the developed scheme is shown. Exponential semi-Lagrangian scheme in the combination with spatial approximation on the cubed-sphere grid is verified using the standard test problems for shallow water models. The developed scheme is as good as the conventional semi-implicit semi-Lagrangian scheme in accuracy of slowly varying flow component reproduction and significantly better in the reproduction of the fast inertia-gravity waves. The accuracy of inertia-gravity waves reproduction is close to that of the explicit time-integration scheme. The computational efficiency of the proposed exponential semi-Lagrangian scheme is somewhat lower than the efficiency of semi-implicit semi-Lagrangian scheme, but significantly higher than the efficiency of explicit, semi-implicit, and exponential Eulerian schemes.

Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms

2014 ◽  
Vol 178 (3) ◽  
pp. 278-298 ◽  
Author(s):  
Yu. A. Chirkunov ◽  
S. Yu. Dobrokhotov ◽  
S. B. Medvedev ◽  
D. S. Minenkov
Keyword(s):  
Exact Solutions ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
One Dimensional ◽  
Nonlinear Shallow Water Equations

scholarly journals 1D/1D+2D integrated model for urban inundation calculation and application for Nhieu Loc – Thi Nghe basin (HCM city)

2014 ◽  
Vol 17 (1) ◽  
pp. 47-59
Author(s):  
Hong Thi My Tran ◽  
Giang Song Le
Keyword(s):  
Mathematical Model ◽  
Shallow Water ◽  
Finite Volume Method ◽  
Shallow Water Equations ◽  
Overland Flow ◽  
Integrated Model ◽  
One Dimensional ◽  
Saint Venant Equations ◽  
2D Flow ◽  
Volume Method

This paper presents a mathematical model for detailed calculate the flooding flow in NhieuLoc – ThiNghe basin. The flow in sewers is considered as one-dimensional while overland flow is modeled using the 1D+2D integrated model. 1D flow was calculated from the Saint – Venant equations and 2D flow was calculated from the shallow water equations. The finite volume method was used. The linkage of models was received a necessary consideration. The application for NhieuLoc – ThiNghe basin case showed that the model could respond to the practical requirements.

Sign in / Sign up

Export Citation Format

Share Document