用于有限体积法的中心WENO混合格式研究

本文通过理论推导得到了6阶中心格式与5阶WENO格式相结合的混合格式(CWENO6格式)，为了提高有限体积法中高精度格式的计算效率，引入了3阶MUSCL反卷积方法以取代传统有限体积法中的反卷积方法。通过不同的算例比较了CWENO6格式与WENO5格式的数值表现。结果表明，相比于传统的WENO5格式，在网格量相同的前提下，由于数值耗散较小，CWENO6格式对流动细节的描述更为准确，为有限体积法模拟三维多尺度复杂提供了一种更为有效的方法。

The research of central WENO hybrid schemes using the finite-volume method

This paper develops the Central-WENO hybrid schemes (CWENO6 schemes) based on the theory analysis. Whiling using the CWENO6 schemes in the finite volume method, we using the 3 order MUSCL deconvolution method instead of the origin 5 order WENO deconvolution method to decreasing the deconvolution computation cost. According to the numerical test, we find that: The CWENO6 schemes have more powerful ability to represent the details of the flow filed because of its low numerical dissipation comparing to the WENO5 schemes under the same computation mesh. Finally, we conclude that: The CWENO6 schemes is an efficient method for the simulation of multi-dimension complex flow using finite volume method.