Record Details

Numerical Simulation of Convection Dominated Flows using High Resolution Spectral Method

Electronic Theses of Indian Institute of Science

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Field Value
 
Title Numerical Simulation of Convection Dominated Flows using High Resolution Spectral Method
 
Creator Vijay Kumar, V
 
Subject Numerical Simulation
Convection
High Resolution Spectroscopy
Rayleigh Bernard Convection
Fluid Flow - Numerical Simulation
Spatial Discretization
Poisson Solver
Navier Stokes Solver
Fluid Flow Solver
Fluid Dynamics
Taylor Couette Flow
Fluid Mechanics
 
Description A high resolution spectrally accurate three-dimensional flow solver is developed in order to simulate convection dominated fluid flows. The governing incompressible Navier Stokes equations along with the energy equation for temperature are discretized using a second-order accurate projection method which utilizes Adams Bashforth and Backward Differentiation formula for temporal discretization of the non-linear convective and linear viscous terms, respectively. Spatial discretization is performed using a Fourier/Chebyshev spectral method. Extensive tests on three-dimensional Taylor Couette flow are performed and it is shown that the method successfully captures the different states ranging from formation of Taylor vortices to wavy vortex regime. Next, the code is validated for convection dominated flows through a comprehensive comparison of the results for two dimensional Rayleigh Benard convection with the theoretical and experimental results from the literature. Finally, fully parallel simulations, with efficient utilization of computational resources and memory, are performed on a model three-dimensional axially homogeneous Rayleigh Benard convection problem in order to explore the high Rayleigh number flows and to test the scaling of global properties.
 
Contributor Shukla, R K
 
Date 2018-03-19T06:25:58Z
2018-03-19T06:25:58Z
2018-03-19
2013
 
Type Thesis
 
Identifier http://hdl.handle.net/2005/3282
http://etd.ncsi.iisc.ernet.in/abstracts/4144/G25606-Abs.pdf
 
Language en_US
 
Relation G25606