Numerical Simulation of Oscillatory Convection in Low-Pr Fluids

Benchmark Definition.- 1. Finite Difference Methods.- Fine Mesh Solutions Using Stream Function-Vorticity Formulation.- A Comparison of Velocity-Vorticity and Stream Function-Vorticity Formulations for Pr=0.- Buoyancy-Driven Oscillatory Flows in Shallow Cavities Filled With Low-Prandtl Number Fluids.- A Finite-Difference Method With Direct Solvers for Thermally-Driven 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.- Steady-State 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.- Pressure Correction Splitting Methods for the Computation of Oscillatory Free Convection in Low Pr Fluids.- Influence of Thermocapillarity on the Oscillatory Convection in Low-Pr Fluids.- 2. Finite Volume Methods.- Numerical Simulation of Oscillatory Convection in Low-Pr 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 Heat-Transfer 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 Three-Dimensional Finite Element Simulations of Buoyancy-Driven Convection in a Confined Pr=0.015 Liquid Layer.- Two and Three-Dimensional Study of Convection in Low Prandtl Number Fluids.- Numerical Simulation of Oscillatory Convection in Low Prandtl Fluids.- 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 Pseudo-Spectral Chebyshev Algorithm on a Staggered Grid.- Spectral Calculations of Convection in Low-Pr Fluids.- Spectral Method for Two-Dimensional Time-Dependent Pr?0 Convection.- Steady-State Solution of a Convection Benchmark Problem by Multidomain Chebyshev Collocation.- 5. Synthesis.- Synthesis of Finite Difference Methods.- Synthesis of the Results With the Finite-Volume Method.- Analysis of Finite Element Results.- Analysis of Spectral Results.- General Synthesis of the Numerical Results.- 6. Stability Results.- Linear and Non-Linear Analysis of the Hadley Circulation.- 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.