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 ...
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 ...
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, ...
accuracy and efficiency.The main finding of this paper is that the combination of ADER with MOOD generally outperforms the one of ADER and WENO either because at given accuracy MOOD is less expensive(memory and/or CPU time),or because it is more accurate for a given grid resolution.A large...
one- and two-dimensional benchmark problems show that the new scheme has a little bit higher resolution compared with the recently developed sixth-order WENO-Z6 scheme, and it is more efficient than the classical fifth-order WENO-JS5 scheme and the recently developed sixth-order WENO6-S ...
This new scheme has the advantages of a small number of stencils and high spectral resolution. Different from the classic WENO scheme [1,2], the linear weights of the new CRUS-WENO scheme can be any positive numbers whose sum is one, which greatly reduces the calculation cost. Furthermore,...