使用WENO格式求解流体力学中的激波问题
上传时间： 2016-11-16
上传用户：hullow
利用5阶精度的WENO方法求解欧拉方程，里面有源代码和说明文档，具体可参考论文Efficient Implementation of Weighted ENO Schemes。
上传时间： 2017-03-25
上传用户：小眼睛LSL
CFD/空间5阶WENO、时间3阶TVD R-K格式实例
上传时间： 2013-12-12
上传用户：从此走出阴霾
We introduce a sub-cell WENO reconstruction method to evaluate spatial derivatives in the high-order ADER scheme. The basic idea in our reconstruction is to use only r stencils to reconstruct the point-wise values of solutions and spatial derivatives for the 2r-1 th order ADER scheme in one dimension, while in two dimensions, the dimension-by-dimension sub-cell reconstruction approach for spatial derivatives is employed. Compared with the original ADER scheme of Toro and Titarev (2002) [2] that uses the direct derivatives of reconstructed polynomials for solutions to evaluate spatial derivatives, our method not only reduces greatly the computational costs of the ADER scheme on a given mesh, but also avoids possible numerical oscillations near discontinuities, as demonstrated by a number of one- and two-dimensional numerical tests. All these tests show that the 5th-order ADER scheme based on our sub-cell reconstruction method achieves the desired accuracy, and is essentially non-oscillatory and computationally cheaper for problems with discontinuities.
标签： 高精度格式
上传时间： 2016-01-13
上传用户：ccsdcczd
