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Error estimates for an operator-splitting method for incompressible flows

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Title: Error estimates for an operator-splitting method for incompressible flows
Authors: Blasco, J.1 jorge.blasco@upc.es, Codina, R.2 ramon.codina@upc.es
Source: Applied Numerical Mathematics. Oct2004, Vol. 51 Issue 1, p1-17. 17p.
Subjects: Partial differential equations, Numerical analysis, Fluid dynamics, Mathematical statistics
Abstract: In this paper we provide an error analysis of a fractional-step method for the numerical solution of the incompressible Navier–Stokes equations. Under mild regularity assumptions on the continuous solution, we obtain first order error estimates in the time step size, both for the intermediate and the end-of-step velocities of the method; we also give some error estimates for the pressure solution. [Copyright &y& Elsevier]
Copyright of Applied Numerical Mathematics is the property of Elsevier B.V. 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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Header DbId: egs
DbLabel: Engineering Source
An: 14249222
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Error estimates for an operator-splitting method for incompressible flows
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  Data: In this paper we provide an error analysis of a fractional-step method for the numerical solution of the incompressible Navier–Stokes equations. Under mild regularity assumptions on the continuous solution, we obtain first order error estimates in the time step size, both for the intermediate and the end-of-step velocities of the method; we also give some error estimates for the pressure solution. [Copyright &y& Elsevier]
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  Label:
  Group: Ab
  Data: <i>Copyright of Applied Numerical Mathematics is the property of Elsevier B.V. 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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      – Type: doi
        Value: 10.1016/j.apnum.2004.02.004
    Languages:
      – Code: eng
        Text: English
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        PageCount: 17
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    Subjects:
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Fluid dynamics
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      – SubjectFull: Mathematical statistics
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      – TitleFull: Error estimates for an operator-splitting method for incompressible flows
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            NameFull: Blasco, J.
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              M: 10
              Text: Oct2004
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              Y: 2004
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              Value: 51
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