【摘要】 对 Bingham流体给出了罚函数逼近和正交投影的隐式求解方法 ,把 Bingham流体处理为粘塑性体 ,利用对粘塑性体的求解 ,在有限元法的实施中 ,采用了减缩和选择积分技术以克服压力的“自锁”问题 ;使用一维变带宽存储的 Pre-Bi-CG法和 Newton-Raphson方法求解非对称的非线性方程组 ;在时间域内使用无条件稳定的后 Euler时间积分格式 ,有效地模拟了 Bingham流体的流动问题更多还原

【Abstract】 An implicit algorithm of penalty approximation with orthogonality projection for the numerical simulation of Bingham fluid flow problems is proposed in this paper. A visco plasticity model is introduced to approximate the Bingham fluid flow. In the finite element method, the reduced and selected integration method is adopted to overcome the “locking” phenomena. In the numerical method, the Pre Bi CG and the Newton Raphson iteration are used for solving unsymmetrical nonlinear equations in which vector storage scheme can be applied. In the time domain, the back Euler time integration with unconditional stable is employed. This approach can effectively simulate the Bingham fluid flow with floating rigid cores or fixing cores.更多还原