一种二维谱体积方法的改进算法

he spectral volume method is a high-precision CFD calculation method that essentially resolves the grid dependence. Focused on the spectral volume method of the two-dimensional compressible Euler equation. A new cell partition method is proposed based on the Chebyshev polynomial, and a WENO-based Variable limiter method is established to develop the "trouble cells" marking method combining with the spectral volume and control volume. Two typical numerical examples of 15 supersonic compression wedge and NACA0012 transonic flow are used to do the verification. The results indicate that the new partitioning method has better accuracy compare with existing methods, and the marking method can effectively identify discontinuous areas. Finally, the SV method on coarse grid can achieve a good precision results equivalent to the common finite volume method under fine grids.