TY - JOUR
T1 - Computations of shallow water equations with high-order central-upwind schemes on triangular meshes
AU - Xie, Wen Xian
AU - Cai, Li
AU - Feng, Jian Hu
AU - Xu, Wei
PY - 2005/11/1
Y1 - 2005/11/1
N2 - New high-order central-upwind schemes on triangular meshes are proposed to approximate the solutions of shallow water equations. The nonuniform width of the different local Riemann fans is calculated more accurately, and the new central-upwind schemes are of simplicity, universality and robustness. At the same time, due to the central-upwind schemes are combined with new reconstructions based on adaptive least squares, the schemes have the almost non-oscillatory behavior. The numerical results show the desired accuracy, high-resolution, and robustness of our methods.
AB - New high-order central-upwind schemes on triangular meshes are proposed to approximate the solutions of shallow water equations. The nonuniform width of the different local Riemann fans is calculated more accurately, and the new central-upwind schemes are of simplicity, universality and robustness. At the same time, due to the central-upwind schemes are combined with new reconstructions based on adaptive least squares, the schemes have the almost non-oscillatory behavior. The numerical results show the desired accuracy, high-resolution, and robustness of our methods.
KW - Balance laws
KW - Central-upwind schemes
KW - Hyperbolic conservation laws
KW - Shallow water equations
KW - Triangular meshes
UR - https://www.scopus.com/pages/publications/26844480292
U2 - 10.1016/j.amc.2004.11.027
DO - 10.1016/j.amc.2004.11.027
M3 - 文章
AN - SCOPUS:26844480292
SN - 0096-3003
VL - 170
SP - 296
EP - 313
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -