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Numerical Simulation of Oscillatory Convection in Low-Pr Fluids

A GAMM Workshop

  • Book
  • © 1990

Overview

Editors:
  1. Bernard Roux

    1. Université d’Aix-Marseille II, Marseille, France

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Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM, volume 27)

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Table of contents (42 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Introduction

      • Bernard Roux
      Pages 1-2

  3. Benchmark Definition

    1. Benchmark Definition

      • Bernard Roux
      Pages 3-8

  4. Finite Difference Methods

    1. Front Matter

      Pages 9-9
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    2. Fine Mesh Solutions Using Stream Function-Vorticity Formulation

      • M. Behnia, G. de Vahl Davis
      Pages 11-18

    3. A Comparison of Velocity-Vorticity and Stream Function-Vorticity Formulations for Pr=0

      • M. Behnia, G. de Vahl Davis, F. Stella, G. Guj
      Pages 19-24

    4. Buoyancy-driven oscillatory flows in shallow cavities filled with low-Prandtl number fluids

      • H. Ben Hadid, B. Roux
      Pages 25-34

    5. A Finite-Difference Method with Direct Solvers for Thermally-Driven Cavity Problems

      • S. Biringen, G. Danabasoglu, T. K. Eastman
      Pages 35-42

    6. Contribution to the Gamm Workshop

      • O. Daube, S. Rida
      Pages 43-48

    7. Low Prandtl Number Convection in a Shallow Cavity

      • G. Desrayaud, Y. Le Peutrec, G. Lauriat
      Pages 49-56

    8. Numerical Simulation of Oscillatory Convection in Low Prandtl Number Fluids with the TURBIT Code

      • G. Grötzbach
      Pages 57-64

    9. Marangoni Flows in a Cylindrical Liquid Bridge of Silicon

      • Nicholas D. Kazarinoff, Joseph S. Wilkowski
      Pages 65-73

    10. Numerical Simulation of Oscillatory Convection in a Low Prandtl Fluid

      • I. Maekawa, Y. Doi
      Pages 74-81

    11. Steady-State Natural Convection in a Rectangular Cavity Filled with Low Prandtl Number Fluids

      • A. A. Mohamad, R. Viskanta
      Pages 82-89

    12. Numerical Simulation of Oscillatory Convection in Low Prandtl Number Fluids Using Aqua Code

      • H. Ohshima, H. Ninokata
      Pages 90-97

    13. Pressure correction splitting methods for the computation of oscillatory free convection in low Pr fluids

      • J. H. M. ten Thije Boonkkamp
      Pages 98-107

    14. Influence of Thermocapillarity on the Oscillatory Convection in Low Pr Fluids

      • D. Villers, J. K. Platten
      Pages 108-115

  5. Finite Volume Methods

    1. Front Matter

      Pages 161-161
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    2. Numerical Simulation of Oscillatory Convection in Low Pr-Fluids

      • C. Cuvelier, A. Segal, C. Kassels
      Pages 119-127

    3. An Implicit Pressure Velocity Algorithm Applied to Oscillatory Convection in Low Prandtl Fluid

      • J. L. Estivalèzes, H. C. Boisson, A. Kourta, P. Chassaing, H. Ha Minh
      Pages 128-135
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Keywords

About this book

For the last ten years, there has been an ever-increasing awareness that fluid motion and transport processes influenced by buoyancy are of interest in many fields of science and technology. In particular, a lot of research has been devoted to the oscillatory behaviour of metallic melts (low-Pr fluids) due to the very crucial impact of such flow oscillations on the quality of growing crystals, semi-conductors or metallic alloys, for advanced technology applications. Test cases on the 2D oscillatory convection in differentially heated cavities containing low-Pr fluids have been defined by the organizing committee, and proposed to the community in 1987. The GAMM-Worshop was attended by 55 scientists from 12 countries, in Oct. 1988 in Marseille (France). Twenty-eight groups contributed to the mandatory cases coming from France (12), other European countries (7) and other countries: USA, Japan and Australia (9). Several groups also presented solutions of various related problems such as accurate determination of the threshold for the onset of oscillations, thermocapillary effect in open cavities, and 3D simulations. Period doubling, quasi- periodic behaviour, reverse transition and hysteresis loops have been reported for high Grashof numbers in closed cavities. The workshop was also open to complementary contributions (5), from experiments and theory (stability and bifurcation analysis). The book contains details about the various methods employed and the specific results obtained by each contributor.

Editors and Affiliations

  • UniversitĂ© d’Aix-Marseille II, Marseille, France

    Bernard Roux

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