摘要
采用间断有限元方法对非定常欠膨胀射流进行了数值模拟,将二维守恒方程的间断有限元方法发展到轴对称Euler方程,对欠膨胀射流问题进行了数值计算。计算结果表明,采用间断有限元方法能够有效地捕捉到包括激波、滑移线、涡环和多级马赫盘等复杂流场结构,与实验照片反映的流动特征吻合较好。此外,两个马赫盘的位置与其他数值结果和实验测量结果吻合很好,表明该方法具有很好的鲁棒性,对非定常欠膨胀燃气射流的数值模拟是有效的。
A discontinuous Galerkin finite element method （DG-FEM） is developed for solving the axisymmetric Euler equations based on two-dimensional conservation laws. The method is used to simulate the unsteady-state underexpanded axisymmetric jet. Several flow property distributions along the jet axis, including density, pres- sure and Mach number are obtained and the qualitative flowfield structures of interest are well captured using the proposed method, including shock waves, slipstreams, traveling vortex ring and multiple Mach disks. Two Mach disk locations agree well with computational and experimental measurement results. It indicates that the method is robust and efficient for solving the unsteady-state underexpanded axisymmetric jet.
关键词
射流
计算流体力学
多级马赫盘
涡环
间断有限元方法
jets
computational fluid dynamics
multiple Mach disks
vortex ring
discontinuous Galerkin finite element method
