An efficient flux-vector-splitting implicit scheme for 2-D internal flow

A one-step flux-vector-splitting implicit scheme has been developed successfully for solving the two-dimensional Euler and Navier-Stokes equations for internal compressible flow. A new approach is developed to construct a simple implicit scheme without approximate factorization and coefficient block...

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Main Author:	Liu, Shenzhi.
Other Authors:	Ng, Eddie Yin Kwee
Format:	Theses and Dissertations
Language:	English
Published:	2009
Subjects:	DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Online Access:	http://hdl.handle.net/10356/19879
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-19879
record_format	dspace
spelling	sg-ntu-dr.10356-198792023-03-11T16:58:23Z An efficient flux-vector-splitting implicit scheme for 2-D internal flow Liu, Shenzhi. Ng, Eddie Yin Kwee School of Mechanical and Production Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics A one-step flux-vector-splitting implicit scheme has been developed successfully for solving the two-dimensional Euler and Navier-Stokes equations for internal compressible flow. A new approach is developed to construct a simple implicit scheme without approximate factorization and coefficient block-diagonal system of equations. This results in a significant improvement in computational efficiency as compared to the well-known Beam-Warming and Steger implicit factored schemes. This is because the present approach has the advantageous characteristics in the creation of higher order numerical implicit terms. The current method is spatially second-order accurate, fully conservative and implemented using general coordinate transformations for treating complex geometries. The scheme shows good convergence rate and accuracy in capturing the shock waves. Master of Engineering (MPE) 2009-12-14T07:00:00Z 2009-12-14T07:00:00Z 1995 1995 Thesis http://hdl.handle.net/10356/19879 en NANYANG TECHNOLOGICAL UNIVERSITY 95 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 Liu, Shenzhi. An efficient flux-vector-splitting implicit scheme for 2-D internal flow
description	A one-step flux-vector-splitting implicit scheme has been developed successfully for solving the two-dimensional Euler and Navier-Stokes equations for internal compressible flow. A new approach is developed to construct a simple implicit scheme without approximate factorization and coefficient block-diagonal system of equations. This results in a significant improvement in computational efficiency as compared to the well-known Beam-Warming and Steger implicit factored schemes. This is because the present approach has the advantageous characteristics in the creation of higher order numerical implicit terms. The current method is spatially second-order accurate, fully conservative and implemented using general coordinate transformations for treating complex geometries. The scheme shows good convergence rate and accuracy in capturing the shock waves.
author2	Ng, Eddie Yin Kwee
author_facet	Ng, Eddie Yin Kwee Liu, Shenzhi.
format	Theses and Dissertations
author	Liu, Shenzhi.
author_sort	Liu, Shenzhi.
title	An efficient flux-vector-splitting implicit scheme for 2-D internal flow
title_short	An efficient flux-vector-splitting implicit scheme for 2-D internal flow
title_full	An efficient flux-vector-splitting implicit scheme for 2-D internal flow
title_fullStr	An efficient flux-vector-splitting implicit scheme for 2-D internal flow
title_full_unstemmed	An efficient flux-vector-splitting implicit scheme for 2-D internal flow
title_sort	efficient flux-vector-splitting implicit scheme for 2-d internal flow
publishDate	2009
url	http://hdl.handle.net/10356/19879
_version_	1761781566702354432

An efficient flux-vector-splitting implicit scheme for 2-D internal flow

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