Investigation of Godunov Flux Against Lax Friedrichs' Flux for the RKDG Methods on the Scalar Nonlinear Conservation Laws Using Smoothness Indicator
Adamou M. Fode

The importance of smoothness indicator is well known in the numerical computation of hyperbolic conservation laws. The main aim is to compare and contrast Godunov flux with that of Lax-Friedrich's using smoothness indicator. We will only explore the case of smooth solutions. An example is offered to show how both fluxes behave under the TVD-RKDG scheme.

Full Text: PDF     DOI: 10.15640/arms.v2n2a3