Adaptive Artificial Viscosity Entropy Stable Scheme for T wo-Dimension Hyperbolic Conservation Laws
GONG Cheng-qi
Abstract：When using entropy conservative schemes to solve the equations of hyperbolic conservation laws , we can add some appropriate artificial viscosity to make the scheme meet the entropy stable conditions.Adaptive artificial viscosity can adjust its own amount according to the character of solution.In this paper , we add adap-tive artificial viscosity to entropy conservative schemes to meet the entropy stable conditions , and then adjust the coefficient C to achieve high resolution.Finally, we compare this method with entropy -stable ERoe and high-resolution EYee scheme to show the characteristics of the new method.
Keywords：hyperbolic conservation lawsadaptive artificial viscosityentropy stablehigh resolution
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 56-61 )