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应用有限体积法离散三维Euler方程,选用三步显式格式进行时间推进求解;并通过当地时间步长、残值光顺、焓修正等方法加速收敛。对一维波动方程的von Neumann稳定性分析说明这种三步格式的最大Courant数是2。对三角翼跨音速大迎角流动的数值分析表明文中的三步格式及焓修正方法优于人们经常采用的四步、五步格式以及焓阻尼技术。
The finite volume method is used to discretize the three-dimensional Euler equation, and the three-step explicit format is adopted to solve the problem in time. The convergence is accelerated by local time steps, salvage of residuals and modification of enthalpy. Analysis of the von Neumann stability of a one-dimensional wave equation shows that the maximum Courant number for this three-step scheme is two. Numerical analysis of the delta wing transonic flow at high angle of attack shows that the three-step format and the enthalpy correction method are superior to the commonly used four-step, five-step format and enthalpy damping technology.