An essentially nonoscillatory high-order Padé-type (ENO-Padé) scheme (Q1604446)

A new high-order method for conservation laws is proposed, which combines the explicit ENO (essentially non-oscillatory) interpolation algorithm with the ideas of implicit cell-centered Padé schemes. The resulting linearly implicit method, called ENO-Padé scheme, is designed to eliminate the non-physical behavior of Padé schemes across discontinuities and to improve the accuracy of ENO schemes in smooth regions. Numerical experiments are presented for 2D scalar transport equations as well as for 1D and 2D compressible flows, and the new method are compared to other popular high-order schemes.