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本报告提供了二元全速势跨音速方程的一种数值解法。本方法的特点是放弃了繁杂的曲线座标系,而在简洁直观的直角座标系中,利用Jameson的旋转差分格式,并在物面边界上采用速势内嵌场,建立全流场的差分方程。二元翼型的样例计算表明本方法和其他全速势方程的数值解法具有同等的精度。对物面外形作一次附面层位移厚度修正后的算例表明计算结果和试验结果符合较好。 本方法比起采用曲线座标系的方法,更易推广到三元流。
This report provides a numerical solution to the binary full-speed transonic equations. The characteristic of this method is to abandon the cumbersome curvilinear coordinate system. In the simple and intuitive rectangular coordinate system, Jameson’s rotation difference scheme is used and the velocity-field embedded field is used on the object-surface boundary to establish a full-flow field Difference equation. The example of binary airfoil shows that this method has the same accuracy as the numerical solution of other full potential equations. An example of the thickness change of the thickness of the interface layer after the appearance of the object surface shows that the calculation result is in good agreement with the test result. Compared with the method of using curvilinear coordinate system, this method is easier to generalize to ternary flow.