Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws (Q2903001)

The paper deals with the numerical solution of conservation laws, namely the compressible Euler equations, with the aid of the finite volume technique. The authors develop the so-called TeCNO scheme, which represents a combination of ENO (essentially nonoscillatory) reconstruction and the entropy conservation. Such scheme is constructed and analysed, the third order of accuracy and the entropy stability are proven. Finally, several experiments using the TeCNO scheme up to 5th order are presented. The experiments indicate the accuracy and robustness of the numerical method.