Taking off Techniques of the Numerical Oscillations Which Occur in Numerical Analyses by Using a Difference Scheme for One Dimensional System of a Conservation Law

Abstract

Calculations of sub-and super-critical flows with unsteady hydraulic jump are important to investigate the planning or design of a river system. When we use the governing equation with conservative type and apply the defference method, the numerical oscillations have happened in the case of unsteady flow with discontinuities. Accordingly, in this paper, we will introduce the TVD-MacCormack scheme and analyze the surface water profile with the hydraulic jump. Finally, taking off techniques of the numerical oscillations are considered by using computed results for practical examples.