粗糙管道流动问题的非线性伽辽金有限元计算

Nonlinear Gaakrkin Finite Element Computation of Turbulent Flow in the Roughpipe

粗糙管道中的流动问题在工程中是随处可见的。由于“粗糙”这一复杂条件使管道内的流动也呈现复杂状况。多年来，许多学者都致力于如何能更好地对粗糙管道中的流动问题做数值计算。本文采用非线性Ｇａｌｅｒｋｉｎ有了限元方法来摸拟粗糙管道中的不可压粘性流动，为减少计算量，同时还使用加罚方法，完成了大量不同粗糙度和在不同Ｒｅｙｎｏｌｄｓ数情况下的数值试验，计算结果与理论分析相吻合。

The flow problem in a roughpipe is a matter of common practice in engineering.In this paper the nonlinear Galerkin finite element has been used to simulate the viscous incompressible fluid flow in roughpipes.A lot of numerical experiments has been completedd for different roughness and Reynolds numbers.And the computational results show good agreement with the theory analysis.