数值模拟二元喷管的三维可压粘性流场

Numerical Analysis of ThreeDimensional Viscous Compressible Flowfields of Rectangular Nozzle

发展了一种用扫描有限元素法求解二元喷管内部湍流流场的数值模拟方法，并提出了ＮＳ方程中二阶导数项新的离散方法，推导了更完善、更简洁的扫描有限元方程的表达式。用本文发展的方法对二维平面收扩喷管、两个大宽高比的二元喷管（宽高比分别为７和４）及其圆转方转接段的三维粘性流场等算例的计算结果表明，该方法具有较宽广的适用范围，有较高的应用和研究价值。

In this paper, an approach is advanced to simulate the inner turbulent folwfields of rectangular nozzle with the sweep finite element method. A new discretization method for the second derivatives in NS (NavierStokes) equations is presented and the formulations of the sweep finite element equations, which are better and simpler than previous formulations, are derived. With this approach, some examples are calculated, including the flowfields of the 2D CD (ConvergentDivergent) nozzle, the rectangular nozzle and the circulartorectangular transition duct with width to height ratio of 4 and 7. The results are in good agreement with experimental data and indicate the efficiency and accuracy of the method.