Abstract: Entropy stable schemes based on physical concepts guarantee the dissipation of total entropy.They are unnecessarily entropy-fixed and effectively avoid unphysical phenomena such as expansion shock and negative pressure.By inserting limiters and using high order reconstructions at cell interfaces,a high resolution entropy stable scheme is proposed.Several numerical experiments demonstrate that the scheme is robust,accurate and essentially non-oscillations.

Key words: entropy stable schemes, conservation laws, high resolution, limiter