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在有限体积法的基础上 ,提出了几种基于 Cartesian坐标系下的空间显式、隐式高阶离散格式和高阶解重构算法。采用高阶紧致滤波替代二阶、四阶人工耗散抑制 Euler方程计算中的非线性高频振荡现象。以 Sculley涡在二维均匀无粘流场中的非定常传输为算例 ,分析了不同格式的耗散误差和相误差
Based on the finite volume method, several explicit and implicit high-order discrete-time schemes and high-order deconstruction algorithms based on Cartesian coordinate system are proposed. The high-order compact filter is used to replace the second-order and fourth-order artificial dissipation to suppress nonlinear high-frequency oscillation in the Euler equation. Taking the unsteady transfer of Sculley vortex in a two-dimensional homogeneous non-viscous flowfield as an example, the dissipation errors and phase errors in different formats are analyzed