A New Mapped WENO Scheme Using Order-Preserving Mapping

Existing mapped WENO schemes can hardly prevent spurious oscillations while preserving high resolutions at long output times. We reveal in this paper the essential reason for such phenomena. It is actually caused by that mapping function these not preserve order of nonlinear weights stencils. The may be increased non-smooth stencils and decreased smooth then indicated to require set functions Order-Preserving schemes. Therefore, we propose a new scheme with order-preserving which exhibits remarkable advantage over references. For time simulations, has capacity attain avoid near discontinuities meanwhile.