Symplectic Method for Stokes flow in Closed Sectorial Domain

【Author】

G.P.Wang 1,2,G.J.Li 3,L.Chen 4 1 School of Civil and Safety Engineering,Dalian Jiaotong University,Dalian 116028,China 2 State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,China 3 Zhengzhou Science Research & design Institute State Administration of Grain Reserve,Zhengzhou 450053,China 4 School of Civil Engineering and Architecture,Henan University of Technology,Zhengzhou 450052,China

【Abstract】

In this paper,the symplectic method is presented for solving Stokes flow in closed sectorial domain.The dual equations are built by variational principle,in which the velocities and stresses are dual variables in the symplectic space.The solution of the problem can be expanded by eigensolutions,and the expansion coefficients are determined via ortho-normalization relations of the eigensolutions.The velocities and stresses of the case are obtained directly with this method,which can be applied in some other low Reynolds problem too.

【Keywords】

Stokes flow,symplectic eigenvalues,symplectic eigensolutions,ortho-normalization relations

References

To explore the background and basis of the node document

Springer Journals Database

Total: 8 articles

  • [1] S. A. Khuri, Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions, SIAM Journal on Applied Mathematics,
  • [2] Shankar PN, Fluid mechanics in the driven cavity, Annu.Rev.Fluid Mech,
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  • [4] Joseph,D.D.,Sturges,L, The convergence of biorthogonal series for biharmonic and Stokes flow edge problems: Part II, SIAM J. Appl. Math, SIAM Journal on Applied Mathematics (SIAM Journal on Applied Mathematics)

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