Space-time SUPG formulation of the shallow-water equations

作者：Takase Shinsuke; Kashiyama Kazuo^*; Tanaka Seizo; Tezduyar Tayfun E

来源：International Journal for Numerical Methods in Fluids, 2010, 64(10-12): 1379-1394.

DOI：10.1002/fld.2464

• shallow-water equations
• finite element method
• space-time method
• SUPG formulation
• shock-capturing parameter

We present a new space-time SUPG formulation of the shallow-water equations. In this formulation, we use a stabilization parameter that was introduced for compressible flows and a new shock-capturing parameter. In the context of two test problems, we evaluate the performance of the new shock-capturing parameter. We also evaluate the performance of the space-time SUPG formulation compared to the semi-discrete SUPG formulation, where the system of semi-discrete equations is solved with the central-difference (Crank-Nicolson) time-integration algorithm.

• 出版日期2010-12-30