利用近年来发展的对数构型方法,通过有限增量过程引入稳定化机制,提出对数构型压力稳定分步算法,显著降低每个迭代步的计算量,避免对构型张量梯度的差分近似.引入压力稳定化机制,不仅避开了LBB条件的限制、允许待求变量采用等低阶插值,且显著地增强了算法稳定性.黏弹性流体圆柱绕流问题的数值模拟表明,对数构型压力稳定分步算法具有优良的稳定性和精度.
Based on log-conformation method developed recently,a log-conformation-based fractional step algorithm with stabilization mechanism is proposed by virtue of the finite increment calculus(FIC) process.The algorithm remarkably reduces computational cost within each iteration step compared with existed coupled solution schemes.Meanwhile it bypasses finite difference approximation for gradient of conformation tensor.As FIC process is introduced as pressure stabilization mechanism,restrictions on u-p interpolations imposed by LBB compatibility conditions are circumvented and equal-lower-order interpolations for u-p are allowed to apply.Numerical simulations for cylinder flow show excellent stabilization and accuracy of the proposed algorithm.