Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows

Finite volume methods have been used to compute transonic flows by numerically solving the equations for a compressible fluid. The eigenvalues of this system of equations, however, renders the system stiff at low speed flows because the ratio of convective speed to the speed of sound is much reduced...

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Main Author: Liang, Peter Yee Siong.
Other Authors: Damodaran, Murali
Format: Theses and Dissertations
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/10356/19955
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-199552023-03-11T17:04:21Z Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows Liang, Peter Yee Siong. Damodaran, Murali School of Mechanical and Production Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics Finite volume methods have been used to compute transonic flows by numerically solving the equations for a compressible fluid. The eigenvalues of this system of equations, however, renders the system stiff at low speed flows because the ratio of convective speed to the speed of sound is much reduced as compared to the case of transonic flows. Stiffness in the system hampers the speed of convergence to the final steady-state solution of the iteration process, thereby destroying the computational efficiency of the numerical scheme at low Mach numbers. In order to overcome this stiffness issue, the time evolution of the equations can be altered by way of pre-conditioning methods without changing the steady-state behaviour of the original system of equations. Consequently, the resulting wave speeds in the solution domain become compatible with one another in magnitude and hence overcomes any disparity between the convective and acoustic speeds which would otherwise generate stiffness in the system. Master of Engineering (MPE) 2009-12-14T07:53:07Z 2009-12-14T07:53:07Z 1997 1997 Thesis http://hdl.handle.net/10356/19955 en NANYANG TECHNOLOGICAL UNIVERSITY 158 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Fluid mechanics
spellingShingle DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Liang, Peter Yee Siong.
Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows
description Finite volume methods have been used to compute transonic flows by numerically solving the equations for a compressible fluid. The eigenvalues of this system of equations, however, renders the system stiff at low speed flows because the ratio of convective speed to the speed of sound is much reduced as compared to the case of transonic flows. Stiffness in the system hampers the speed of convergence to the final steady-state solution of the iteration process, thereby destroying the computational efficiency of the numerical scheme at low Mach numbers. In order to overcome this stiffness issue, the time evolution of the equations can be altered by way of pre-conditioning methods without changing the steady-state behaviour of the original system of equations. Consequently, the resulting wave speeds in the solution domain become compatible with one another in magnitude and hence overcomes any disparity between the convective and acoustic speeds which would otherwise generate stiffness in the system.
author2 Damodaran, Murali
author_facet Damodaran, Murali
Liang, Peter Yee Siong.
format Theses and Dissertations
author Liang, Peter Yee Siong.
author_sort Liang, Peter Yee Siong.
title Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows
title_short Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows
title_full Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows
title_fullStr Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows
title_full_unstemmed Preconditioning of explicit finite volume compressible flow solvers to compute low Mach number flows
title_sort preconditioning of explicit finite volume compressible flow solvers to compute low mach number flows
publishDate 2009
url http://hdl.handle.net/10356/19955
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