Chen Da-peng, Zhao Zhong. A Weighted Penalty Finite Element Method for the Analysis of Power-Law Fluid Flow Problems[J]. Applied Mathematics and Mechanics, 1990, 11(4): 279-282.
 Citation: Chen Da-peng, Zhao Zhong. A Weighted Penalty Finite Element Method for the Analysis of Power-Law Fluid Flow Problems[J]. Applied Mathematics and Mechanics, 1990, 11(4): 279-282.

# A Weighted Penalty Finite Element Method for the Analysis of Power-Law Fluid Flow Problems

• Publish Date: 1990-04-15
• In this paper, a new finite element method for the flow analysis of the viscous incompressible power-law fluid is proposed by the use of penalty-hybrid/mixed finite element formulation and by the introduction of an alternative perturbation, which is weighted by viscosity, of the continuity equation. A numerical example is presented to exhibit the efficiency of the method.
•  [1] Miyazaki,M.,Some finite element formulations for flow analysis of power-law fluid,Comp.Mech.(eds G.Yagawa and S.N.Atluri),Springer Verlag(1986). [2] Bercovier,M.,M.Engelman and J.Borman,Numerical simulation of non-Newtonian blood flow models by a finite element method,Computing Methods in Applied Sciences and Engineering(eds R.Glowinsky and J.L.Lions),North-Holland Publishing Company(1980). [3] Carey,G.F.and J.T.Oden,Finite Elements Fluid Mechanics,Prentice-Hall Inc.(1986). [4] Crochet,M.T.,A.R.Davies and K.Walters,Numerical Simulation of Non-Newtonian Flow,Elsevier(1984). [5] 陈大鹏、赵忠,用于分析Stoke:问题的加罚杂交/混合模型,第二届全国近代数学与力学讨论会,上海(1987). [6] Chen,D.P.and Z.Zhao,A penalty-hybrid finite element method for the analysis of Stokes flow,Comp.Mech.(eds S.N.Atluri and G.Yagawa),Springer Verlag(1988). [7] Chen,D.P.and Z.Zhao,A new finite element scheme for Navier-Stokes problems,(to appear) [8] Nakazawa,S.and O.C.Zienkiewicz,Finite element analysis of flow and coupled heat transfer in polymeric fluids,Numerical Methods for Coupled Problems(eds E.Hinton et al.),Pineridge Press,Swansea,U.K.(1981).

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