扫描有限元法求解二元喷管的三维可压粘性流场

SWEEP FINITE ELEMENT SOLVER FOR 3-D VISCOUS COMPRESSIBLE FLOW IN RECTANGULAR NOZZLE

发展了一种二元喷管流场计算的三维Ｎ－Ｓ方程扫描有限元方法，给出了Ｎ－Ｓ方程中二阶导数项新的离散方法，以及更完善、简洁的扫描有限元方程的表达式。开发了相应的计算程序，用所发展的方法对二维平面收扩喷管、两种大宽高比的二元喷管及其圆变方转接段的三维粘性流场进行了计算，计算结果表明本方法具有较宽广的适用范围。

A numerical anlysis method of three-dimensional compressible viscous flow has been developed for a rectangular exhaust nozzle in which the shape of the circular-to-rectangular duct changes abruptly and its flowfield is very complex.Therefore,the sweep finite element method proposed by the second author in 1983 is employed since the governing equations are directly used to establish the element equation.In this paper,a hexahedral element of 27 nodes is adopted for spacial discretization,and applied to a C-D nozzle flowfield and several transition duct and nozzle flow fields.The results are in good agreement with the experimental data,and indicate the effectiveness and accuracy of the method.