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140122  eng 
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a 9783322878779

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1 

a Roux, Bernard
e [editor]

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a Numerical Simulation of Oscillatory Convection in LowPr Fluids
h Elektronische Ressource
b A GAMM Workshop
c edited by Bernard Roux

250 


a 1st ed. 1990

260 


a Wiesbaden
b Vieweg+Teubner Verlag
c 1990, 1990

300 


a 365 p
b online resource

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0 

a Pressure Correction Splitting Methods for the Computation of Oscillatory Free Convection in Low Pr Fluids  Influence of Thermocapillarity on the Oscillatory Convection in LowPr Fluids  2. Finite Volume Methods  Numerical Simulation of Oscillatory Convection in LowPr Fluids  An Implicit Pressure Velocity Algorithm Applied to Oscillatory Convection in Low Prandtl Fluid  Oscillatory Natural Convection in a Long Horizontal Cavity  Contribution of the HeatTransfer Group at DELFT University  Numerical Simulation of Oscillatory Convection in Low Prandtl Fluids  3. Finite Element Methods  Application of the N3S Finite Element Code to Simulation of Oscillatory Convection in Low Prandtl Fluids  Two and ThreeDimensional Finite Element Simulations of BuoyancyDriven Convection in a Confined Pr=0.015 Liquid Layer  Two and ThreeDimensional Study of Convection in Low Prandtl Number Fluids  Numerical Simulation of Oscillatory Convection in Low Prandtl Fluids 

505 
0 

a Benchmark Definition  1. Finite Difference Methods  Fine Mesh Solutions Using Stream FunctionVorticity Formulation  A Comparison of VelocityVorticity and Stream FunctionVorticity Formulations for Pr=0  BuoyancyDriven Oscillatory Flows in Shallow Cavities Filled With LowPrandtl Number Fluids  A FiniteDifference Method With Direct Solvers for ThermallyDriven Cavity Problems  Contribution to the GAMM Workshop  Low Prandtl Number Convection in a Shallow Cavity  Numerical Simulation of Oscillatory Convection in Low Prandtl Number Fluids With the TURBIT Code  Marangoni Flows in a Cylindrical Liquid Bridge of Silicon  Numerical Simulation of Oscillatory Convection in a Low Prandtl Fluid  SteadyState Natural Convection in a Rectangular Cavity Filled With Low Prandtl Number Fluids  Numerical Simulation of Oscillatory Convection in Low Prandtl Number Fluids Using AQUA Code 

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0 

a The Solution of the Boussinesq Equations by the Finite Element Method  Numerical Simulation of Oscillatory Convection in Low Pr Fluids by Using the Galerkin Finite Element Method  4. Spectral Methods  Oscillatory Convection in Low Prandtl Fluids: A Chebyshev Solution With Special Treatment of the Pressure field  Contribution to the GAMM Workshop With a PseudoSpectral Chebyshev Algorithm on a Staggered Grid  Spectral Calculations of Convection in LowPr Fluids  Spectral Method for TwoDimensional TimeDependent Pr?0 Convection  SteadyState Solution of a Convection Benchmark Problem by Multidomain Chebyshev Collocation  5. Synthesis  Synthesis of Finite Difference Methods  Synthesis of the Results With the FiniteVolume Method  Analysis of Finite Element Results  Analysis of Spectral Results  General Synthesis of the Numerical Results  6. Stability Results  Linear and NonLinear Analysis of the Hadley Circulation 

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a A Bifurcation Analysis of Oscillatory Convection in Liquid Metals  7. Experimental Results  A Laboratory Study of Oscillations in Differentially Heated Layers of Mercury  Subharmonic Transitions in Convection in a Moderately Shallow Cavity  Convection in a Shallow Cavity  Conclusions  List of Participants  Support and Sponsoring Acknowledgements

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a Engineering Fluid Dynamics

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a Fluid mechanics

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a Physics and Astronomy

653 


a Computer simulation

653 


a Computer Modelling

653 


a Mathematical physics

653 


a Physics

653 


a Astronomy

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a Theoretical, Mathematical and Computational Physics

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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0 

a Notes on Numerical Fluid Mechanics and Multidisciplinary Design

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5 
0 
a 10.1007/9783322878779

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u https://doi.org/10.1007/9783322878779?nosfx=y
x Verlag
3 Volltext

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0 

a 620.1064

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a For the last ten years, there has been an everincreasing 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 (lowPr fluids) due to the very crucial impact of such flow oscillations on the quality of growing crystals, semiconductors or metallic alloys, for advanced technology applications. Test cases on the 2D oscillatory convection in differentially heated cavities containing lowPr fluids have been defined by the organizing committee, and proposed to the community in 1987. The GAMMWorshop was attended by 55 scientists from 12 countries, in Oct. 1988 in Marseille (France). Twentyeight 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
