WENO schemesLow dissipationHybrid schemesHigh efficiencyFinite differenceTo enhance the performance of the third-order weighted essentially non-oscillatory (WENO) scheme on the four-point stencil, a new hybrid central-type scheme is proposed in this paper. Developments are conducted in the following ...
EFFICIENT IMPLEMENTATIONDIFFERENT INDICATORSIn this paper, a new kind of hybrid method based on the weighted essentially non-oscillatory (WENO) type reconstruction is proposed to solve hyperbolic conservation laws. Comparing the WENO schemes with/without hybridization, the hybrid one can resolve more ...
The particular advantage of the new constructing method is that it can improve the accuracy of WENO scheme near discontinuities. Numerical examples show that the new constructing method is very efficient and robust, and the new WENO scheme is more accurate than the original ones.Y.Q. Shen...
Mapped WENO methodnew strategyhyperbolic conservation lawsESSENTIALLY NONOSCILLATORY SCHEMESEFFICIENT IMPLEMENTATIONHIGH-ORDERFLOWThe mapping is a useful technique for improving the performance of WENO method. However, for the existed mapped WENO methods, two weaknesses still need to be overcome. First, ...
a set of numerical tests in 2D and 3D,but it also increases the stability of the overall scheme.A systematic comparison between classical unstructured ADER-WENO schemes and the new ADER-MOOD approach has been carried out for high-order schemes in space and time in terms of cost,robustness,...
Unlike the classical WENO schemes, the associated linear weights of the new scheme can be any positive numbers with the only requirement that their sum equals one. Further, a very simple smoothness indicator for the global stencil is proposed. The new scheme can achieve sixth-order accuracy in ...
Although these WENO schemes can achieve high-order accuracy, their stencils become wider and wider as the accuracy increases. As early as 1992, Lele [10] proposed a compact scheme that achieved high-order accuracy on smaller stencils. In 2001, Jiang et al. [11] innovatively proposed a ...