摘要
以Roe的近似Riemann解为基础,将源项按特征方向进行特征分解,建立了带源项浅水方程的通量平衡Go dunov求解格式。此格式具有迎风的性质并保证了变宽、非平底坡浅水方程计算的和谐性和存在底摩擦时的收敛性。通过实例验证了此法具有和谐、健全、通用性好、分辨率高等优点。
Based on the Roe's approximate Riemann solver, this paper presents the flux balance Godunov scheme for the shallow water equation with source terms. The decomposed source terms in the characteristic directions and the Roe's average method are used in the source terms. The numerical experiments are suggest that this method can keep the flux balance at the interface and make the scheme harmonious, robust and high in resolution.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2005年第3期373-379,共7页
Advances in Water Science
关键词
浅水方程
源项
黎曼解
溃坝
有限体积
通量平衡
shallow water
source terms
Riemann solver
dam break
finite volume method
flux balance
