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