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本文开发了一套基于非结构网格的间断有限元方法(DG)程序,并对与单元形状无关的斜率限制器进行了研究。此程序支持多种网格类型,能够方便应用于具有混合单元的非结构网格,具有处理复杂几何结构的能力,为研究叶轮机械内部复杂流动现象提供了有效的研究工具。本文利用该程序对若干典型无黏和黏性问题进行数值模拟,结果表明,该程序具有较高的可信度,能够处理具有混合单元的非结构网格,并给出良好的数值模拟结果。
In this paper, a discontinuous finite element method (DG) program based on unstructured grid has been developed, and the slope limiter, which is independent of the shape of the unit, has been studied. This program supports a variety of mesh types and can be easily applied to unstructured meshes with hybrid elements. It has the ability to handle complex geometries and provides an effective research tool for the study of complex flow phenomena in impeller machinery. In this paper, some typical non-sticky and viscous problems are numerically simulated using this program. The results show that this program has high reliability and can handle unstructured meshes with mixed elements and gives good numerical simulation results.