【摘要】 从Rodi提出的代数应力模型出发 ,根据张量不变性函数理论 ,导出雷诺应力与平均速度梯度之间较通用的、含有速度梯度二次导数项的模型公式 .该模型中所需系数与ASM中的系数常数完全相同 .非线性本构方程为显式关系式 ,在体现了非线性关系的同时 ,又避免了求解应力的代数方程组难于收敛的困难更多还原

【Abstract】 On the basis of algebraic stress model proposed by Rodi, a universal non linear constitutive relation between the Reynolds stress and the mean velocity gradients which include the second order terms is formulated by applying tensor invariance theory in this paper. The coefficients in this model remain the same as that in ASM model. The explicit constitutive relation not only reflects non linear relation, but also ensures the convergence in solving the algebraic stress equation sets.更多还原