Paper Information

Journal:   JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)   December 2003 , Volume 37 , Number 3 (81); Page(s) 323 To 334.
 
Paper: 

SEMI-IMPLICIT SEMI-LAGRANGIAN INTEGRATION SCHEME FOR THE SHALLOW WATER EQUATIONS

 
 
Author(s):  ESFAHANIAN V., ASHRAFI KH.
 
* 
 
Abstract: 

A semi-Lagrangian algorithm is associated with semi-implicit method in the integration of the shallow water equations. The resulting numerical algorithm is unconditionally stable. To obtain accurate results from a semi-Lagrangian integration scheme, it is necessary to choose the order of interpolation carefully. Cubic interpolation is used and it is a good compromise between accuracy and computational cost. The semi-Lagrangian semi-implicit scheme is applied to the shallow water equations with two kinds of boundary conditions, velocity component type or geopotential height type. When the boundary values are imposed on the velocity component some new relations are obtained using governing equations to solve geopotential height equation numerically. The integral invariants of the shallow water equations, i.e., mass, total energy and entropy are well conserved, ensuring that a realistic nonlinear structure is obtained.

 
Keyword(s): 
 
References: 
  • ندارد
 
  Persian Abstract Yearly Visit 184
 
Latest on Blog
Enter SID Blog