RT Journal Article
ID 0fe38ad056a365f0
A1 Bourchtein, Andrei
A1 Bourchtein, Ludmila
T1 Improved Semi-Lagrangian Stabilizing Correction Scheme for Shallow Water Equations
JF International Journal for Multiscale Computational Engineering
JO JMC
YR 2006
FD 2006-09-27
VO 4
IS 3
SP 399
OP 409
AB An improved splitting method based on a stabilizing correction scheme is used for solving shallow water equations. Recently introduced by Douglas, Kim, and Lim, (Douglas, J., Kim, S., and Lim, H., Contemp. Math. 329:99-104, 2003), the technique is applied to reduce splitting errors. Accuracy and stability analysis showed that the developed scheme allows us to choose large time steps and it is more accurate when compared to the standard splitting method. The results of numerical experiments confirmed that the presented scheme has almost the same computational efficiency as the basic stabilizing correction method and continues to be accurate and stable for time steps up to 1 hr, when the primitive method fails.
PB Begell House
LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,2f8263727708f280,0fe38ad056a365f0.html