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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems - Couverture souple
Synopsis
Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Lecture Notes in Engineering, 7)
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Springer, 1984
ISBN 10 : 3540136460
ISBN 13 : 9783540136460
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Lecture Notes in Engineering, 7)
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Lecture Notes in Engineering, 7)
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Lecture Notes in Engineering, 7)
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems (Lecture Notes in Engineering, 7)
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
Edité par
Springer Berlin Heidelberg Aug 1984, 1984
ISBN 10 : 3540136460
ISBN 13 : 9783540136460
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Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field. 180 pp. Englisch. N° de réf. du vendeur 9783540136460
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
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Etat : New. Print on Demand pp. 180 21 Figures, 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 51018204
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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
Edité par
Springer Berlin Heidelberg, 1984
ISBN 10 : 3540136460
ISBN 13 : 9783540136460
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation technique. N° de réf. du vendeur 4882271
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