Author(s): C. E. Pinilla; S. Bouhairie; L. W. Tan; V. H. Chu
Linked Author(s): Vincent H. Chu
Keywords: No Keywords
Abstract: The unphysical oscillations in the numerical solution of the shallow-water equations are controlled using a minimal intervention (MI) strategy. Fluxes are computed using the local velocity rather than using the Riemann solvers based on the hyperbolic equations. The values on the faces of the finite volumes are limited on a staggered grid by imposing the Downwind Weighting Factor constraints. The intervention for Total variation Diminishing (TVD) is made only on the missing qx*value when q x is updated using the x-momentum equation, and only on the missing qy* value when q y is updated using the y-momentum equation. The accuracy and the shock capturing capability of this MI strategy are verified by comparing the simulations with the exact solutions. The long-term stability of the computational strategy is ascertained as sub-critical and super-critical turbulent flows are successfully simulated by the method.
Year: 2009