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1. |
Treatment of non‐linearities in the numerical solution of the incompressible Navier–Stokes equations |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 409-426
P. F. Galpin,
G. D. Raithby,
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摘要:
AbstractThe solution of the full non‐linear set of discrete fluid flow equations is usually obtained by solving a sequence of linear equations. The type of linearization used can significantly affect the rate of convergence of the sequence to the final solution. The first objective of the present study was to determine the extent to which a full Newton–Raphson linearization of all non‐linear terms enhances convergence relative to that obtained using the ‘standard’ incompressible flow linearization. A direct solution procedure was employed in this evaluation. It was found that the full linearization enhances convergence, especially when grid curvature effects are important.The direct solution of the linear set is uneconomical. The second objective of the paper was to show how the equations can be effectively solved by an iterative scheme, based on a coupled‐equation line solver, which implicitly retains all the inter‐equation couplings. This solution method was found to be competitive with the highly refined segregated solution methods that represent the current sta
ISSN:0271-2091
DOI:10.1002/fld.1650060702
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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2. |
A finite element approximation of the unsteady two‐dimensional Navier–Stokes equations |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 427-443
F. N. Van De Vosse,
A. Śegal,
A. A. Van Steenhoven,
J. D. Janssen,
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摘要:
AbstractIn this paper a penalty finite element solution method for the unsteady Navier–Stokes equations for two‐dimensional incompressible flow is described. The performances of the Euler implicit (EI) and the Crank–Nicolson (CN) time integration methods are analysed. Special attention is payed to the undamped pressure oscillations which can occur when the Crank–Nicolson integration rule is used in combination with the penalty function method. Stability and convergence properties are illustrated by means of the computation of fully developed oscillating flow between two flat plates. Furthermore, the von Karman vortex street past a circular cylinder is computed to demonstrate the behaviour of the time integration schemes for a more complicated flow. It is concluded that the EI method has its advantages over the CN method with respect to the damping of numerical oscillations. However, for flows with an important convective contribution, where physically originated oscillations may be present, the CN method is pre
ISSN:0271-2091
DOI:10.1002/fld.1650060703
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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3. |
Synthesis of thermal effects in misaligned hydrodynamic journal bearings |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 445-458
J. O. Medwell,
D. T. Gethin,
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摘要:
AbstractThe analysis presented herein deals with the evaluation of pressure and temperature fields which are generated in thin fluid films of varying thickness. The particular problem of a misaligned journal bearing has been studied by solving simultaneously the Reynolds and energy equations, which also include the effects of viscous dissipation and the variation of fluid viscosity with temperature.The method has been used to predict pressure and temperature fields as well as global performance parameters for a typical journal bearing operation.
ISSN:0271-2091
DOI:10.1002/fld.1650060704
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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4. |
Performance of a multigrid calculation procedure in three‐dimensional sudden expansion flows |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 459-477
S. P. Vanka,
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摘要:
AbstractThe performance of a recently developed calculation procedure for steady incompressible flows is assessed in a variety of three‐dimensional sudden expansion type flows representative of those encountered in several types of industrial equipment. The calculation procedure, called here BLIMM (forblock‐implicitmultigridmethod), is based on a coupled solution of the three‐dimensional momentum and continuity equations in primitive variables, using the multigrid technique. Different Reynolds numbers and finite difference grids are considered for each flow situation. The rates of convergence and the computational times are reported for each
ISSN:0271-2091
DOI:10.1002/fld.1650060705
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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5. |
Mesh effects on the computation of non‐linear gravity waves of arbitrary discharge |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 479-493
E. F. Toro,
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摘要:
AbstractNumerical computations of non‐linear gravity waves are presented and the effects of mesh variations on the results are discussed.Waves are regarded as two‐parameter families (λ,A)Qof arbitrary dischargeQ, and computations are carried out using a new Kantorovich algorithm.Mesh effects are to a large extent dependent on the particular wave region under consideration. Three such regions are identified and typical examples are computed and discu
ISSN:0271-2091
DOI:10.1002/fld.1650060706
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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6. |
Conference diary |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 495-496
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ISSN:0271-2091
DOI:10.1002/fld.1650060707
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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7. |
Announcement |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page 496-496
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ISSN:0271-2091
DOI:10.1002/fld.1650060708
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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8. |
Masthead |
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International Journal for Numerical Methods in Fluids,
Volume 6,
Issue 7,
1986,
Page -
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PDF (89KB)
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ISSN:0271-2091
DOI:10.1002/fld.1650060701
出版商:John Wiley&Sons, Ltd
年代:1986
数据来源: WILEY
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