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Numerical scheme for riser motion calculation during 3-D VIV simulation

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Title: Numerical scheme for riser motion calculation during 3-D VIV simulation
Authors: Huang, Kevin1 kevinhuang_01@tamu.edu, Chen, Hamn-Ching1, Chen, Chia-Rong2
Source: Journal of Fluids & Structures. Oct2011, Vol. 27 Issue 7, p947-961. 15p.
Subjects: Numerical analysis, Simulation methods & models, Differential equations, Finite differences, Equations of motion, Cross-flow (Aerodynamics), Computational fluid dynamics
Abstract: Abstract: This paper presents a numerical scheme for riser motion calculation and its application to riser VIV simulations. The discretisation of the governing differential equation is studied first. The top tensioned risers are simplified as tensioned beams. A centered space and forward time finite difference scheme is derived from the governing equations of motion. Then an implicit method is adopted for better numerical stability. The method meets von Neumann criteria and is shown to be unconditionally stable. The discretized linear algebraic equations are solved using a LU decomposition method. This approach is then applied to a series of benchmark cases with known solutions. The comparisons show good agreement. Finally the method is applied to practical riser VIV simulations. The studied cases cover a wide range of riser VIV problems, i.e. different riser outer diameter, length, tensioning conditions, and current profiles. Reasonable agreement is obtained between the numerical simulations and experimental data on riser motions and cross-flow VIV a/D. These validations and comparisons confirm that the present numerical scheme for riser motion calculation is valid and effective for long riser VIV simulation. [Copyright &y& Elsevier]
Copyright of Journal of Fluids & Structures is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 65233274
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  Data: Numerical scheme for riser motion calculation during 3-D VIV simulation
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  Data: <searchLink fieldCode="AR" term="%22Huang%2C+Kevin%22">Huang, Kevin</searchLink><relatesTo>1</relatesTo><i> kevinhuang_01@tamu.edu</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Hamn-Ching%22">Chen, Hamn-Ching</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Chen%2C+Chia-Rong%22">Chen, Chia-Rong</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluids+%26+Structures%22">Journal of Fluids & Structures</searchLink>. Oct2011, Vol. 27 Issue 7, p947-961. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Cross-flow+%28Aerodynamics%29%22">Cross-flow (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink>
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  Label: Abstract
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  Data: Abstract: This paper presents a numerical scheme for riser motion calculation and its application to riser VIV simulations. The discretisation of the governing differential equation is studied first. The top tensioned risers are simplified as tensioned beams. A centered space and forward time finite difference scheme is derived from the governing equations of motion. Then an implicit method is adopted for better numerical stability. The method meets von Neumann criteria and is shown to be unconditionally stable. The discretized linear algebraic equations are solved using a LU decomposition method. This approach is then applied to a series of benchmark cases with known solutions. The comparisons show good agreement. Finally the method is applied to practical riser VIV simulations. The studied cases cover a wide range of riser VIV problems, i.e. different riser outer diameter, length, tensioning conditions, and current profiles. Reasonable agreement is obtained between the numerical simulations and experimental data on riser motions and cross-flow VIV a/D. These validations and comparisons confirm that the present numerical scheme for riser motion calculation is valid and effective for long riser VIV simulation. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Fluids & Structures is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jfluidstructs.2011.06.010
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
        StartPage: 947
    Subjects:
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Simulation methods & models
        Type: general
      – SubjectFull: Differential equations
        Type: general
      – SubjectFull: Finite differences
        Type: general
      – SubjectFull: Equations of motion
        Type: general
      – SubjectFull: Cross-flow (Aerodynamics)
        Type: general
      – SubjectFull: Computational fluid dynamics
        Type: general
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      – TitleFull: Numerical scheme for riser motion calculation during 3-D VIV simulation
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            NameFull: Huang, Kevin
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            NameFull: Chen, Hamn-Ching
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            NameFull: Chen, Chia-Rong
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            – D: 01
              M: 10
              Text: Oct2011
              Type: published
              Y: 2011
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              Value: 27
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              Value: 7
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            – TitleFull: Journal of Fluids & Structures
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