Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates

摘要: Various sophisticated finite element models for surface water flow based on the shallow equations exist in literature. Gray, Kolar, Luettich, Lynch, and Westerink have developed a hydrodynamic model generalized wave continuity equation (GWCE) formulation formulated Galerkin procedure combining GWCE with nonconservative momentum equations. Numerical experiments suggest that this method is robust accurate suppresses spurious oscillations which plague other models. We analyze slightly modified uses conservative (CME). For GWCE-CME system of equations, we present continuous-time priori error estimate an $\asl^{2}$ projection.