Laminar Flow Patterns Around Three Side-By-Side Arranged Circular Cylinders Using Semi-Implicit Three-Step Taylor-Characteristic-Based-Split (3-TCBS) Algorithm

One limitation of the classical characteristic-based-split (CBS) algorithm is that its computational time step is relatively small because it is an explicit scheme with conditional stability. We present in this paper a semi-implicit form of a three-step Taylor-characteristic-based-split (3-TCBS) Gal...

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Veröffentlicht in:Engineering applications of computational fluid mechanics Jg. 7; H. 1; S. 1 - 12
Hauptverfasser: Han, Zhaolong, Zhou, Dai, Tu, Jiahuang
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hong Kong Taylor & Francis 2013
Taylor & Francis Ltd
Schlagworte:
Algorithms
characteristic based split
Circular cylinders
Computational fluid dynamics
Computing time
finite element method
Flow distribution
flow patterns
Fluid flow
Galerkin method
Incompressible flow
Incompressible fluids
Laminar flow
Reynolds number
three cylinders
ISSN:1994-2060, 1997-003X
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Abstract One limitation of the classical characteristic-based-split (CBS) algorithm is that its computational time step is relatively small because it is an explicit scheme with conditional stability. We present in this paper a semi-implicit form of a three-step Taylor-characteristic-based-split (3-TCBS) Galerkin fmite element (FE) method in the framework of incremental projection method to numerically solve incompressible fluid flow problems. First, the velocities are semi-implicitly estimated by a three-step process. The computational code is then verified by using the benchmark problems of lid-driven cavity and of flow around a fixed circular cylinder at Reynolds numbers in the laminar regime. Comparisons between the current method and the classical CBS algorithm show that the present 3- TCBS scheme can provide a larger time step with more accurate results. Then, this method is employed to investigate the problem of laminar flow over three cylinders which are arranged side-by-side. The Reynolds numbers range from 40 to 160 and the spacing ratios were set as 1.2, 1.4, 1.6, 1.8, 2.2, 2.5, 3.2, and 4.0. Eight different wake patterns were systematically categorized and their relationships with the Reynolds number and spacing ratio are presented.
AbstractList One limitation of the classical characteristic-based-split (CBS) algorithm is that its computational time step is relatively small because it is an explicit scheme with conditional stability. We present in this paper a semi-implicit form of a three-step Taylor-characteristic-based-split (3-TCBS) Galerkin fmite element (FE) method in the framework of incremental projection method to numerically solve incompressible fluid flow problems. First, the velocities are semi-implicitly estimated by a three-step process. The computational code is then verified by using the benchmark problems of lid-driven cavity and of flow around a fixed circular cylinder at Reynolds numbers in the laminar regime. Comparisons between the current method and the classical CBS algorithm show that the present 3- TCBS scheme can provide a larger time step with more accurate results. Then, this method is employed to investigate the problem of laminar flow over three cylinders which are arranged side-by-side. The Reynolds numbers range from 40 to 160 and the spacing ratios were set as 1.2, 1.4, 1.6, 1.8, 2.2, 2.5, 3.2, and 4.0. Eight different wake patterns were systematically categorized and their relationships with the Reynolds number and spacing ratio are presented.
Author Tu, Jiahuang
Han, Zhaolong
Zhou, Dai
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  email: zhoudai@sjtu.edu.cn
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Snippet One limitation of the classical characteristic-based-split (CBS) algorithm is that its computational time step is relatively small because it is an explicit...
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SubjectTerms Algorithms
characteristic based split
Circular cylinders
Computational fluid dynamics
Computing time
finite element method
Flow distribution
flow patterns
Fluid flow
Galerkin method
Incompressible flow
Incompressible fluids
Laminar flow
Reynolds number
three cylinders
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Title Laminar Flow Patterns Around Three Side-By-Side Arranged Circular Cylinders Using Semi-Implicit Three-Step Taylor-Characteristic-Based-Split (3-TCBS) Algorithm
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