Sha Desong, Guo Xinglin, Gu Yuanxian. An Implicit Solution of Bi-Penalty Approximation with Orthogonality Projection for the Numerical Simulation of Bingham Fluid Flow[J]. Applied Mathematics and Mechanics, 1998, 19(8): 678-688.
Citation:
Sha Desong, Guo Xinglin, Gu Yuanxian. An Implicit Solution of Bi-Penalty Approximation with Orthogonality Projection for the Numerical Simulation of Bingham Fluid Flow[J]. Applied Mathematics and Mechanics, 1998, 19(8): 678-688.
Sha Desong, Guo Xinglin, Gu Yuanxian. An Implicit Solution of Bi-Penalty Approximation with Orthogonality Projection for the Numerical Simulation of Bingham Fluid Flow[J]. Applied Mathematics and Mechanics, 1998, 19(8): 678-688.
Citation:
Sha Desong, Guo Xinglin, Gu Yuanxian. An Implicit Solution of Bi-Penalty Approximation with Orthogonality Projection for the Numerical Simulation of Bingham Fluid Flow[J]. Applied Mathematics and Mechanics, 1998, 19(8): 678-688.
State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China
An implicit algorithm of Bi-penalty approximation with orthogonality projection for the numerical simulation of Bingham fluid flow problems is proposed in this paper.A Newton fluid flow with two kinds of artificial viscosit y subjected to the inequality constraint is introduced to approximate the Bingham fluid flow.This approach can effectively simulate the Bingham fluid flow with floating rigid cores or fixing rigid cores.
John A.Tichym,Hydrodynamic lubrication theory for the Bingham plastic flow model,J.Rheol.,3(4)(1991),477-496.
[2]
G.迪沃,J.L.利瓮斯,《力学和物理学中的变分不等方程》,王耀东译,科学出版社(1987).
[3]
J.E.Stangroom,The Bingham plastic model of ER fluids and its implications,Proceedings of the Second International Conference on ER Fluids,Technomic,Lancaster,PA(1990),41-52.
[4]
Therese C.Jordan,Electrortheology,IEEE Transaction on Electrical Insulation,24(5)(1989)849-878.
[5]
Thomas J.R.Hughes,The Finite Element Method,Prentice-Hall,Inc.,Englewood Cliffs,New Jersey 07632(1987).
[6]
K.W.Wang,Y.S.Kim and D.B.Shea,Structural vibration control via electrorheological-fluid based actuator with adaptive viscous and frictional damping,J.Sound Vibration,177(2)(1994)227-237.