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On the Error Estimates of a New Operator Splitting Scheme for the Navier-Stokes Equations with Coriolis Force

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  • Chunjiang Shuai
  • Kaimin Teng
  • Hongen Jia

Abstract

An operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations with Coriolis force. Under some mild regularity assumptions on the continuous solution, error estimates and the stability analysis for the velocity and the pressure of the new operator splitting scheme are obtained. Some numerical results are presented to verify the theoretical predictions.

Suggested Citation

  • Chunjiang Shuai & Kaimin Teng & Hongen Jia, 2012. "On the Error Estimates of a New Operator Splitting Scheme for the Navier-Stokes Equations with Coriolis Force," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-23, December.
    • Handle: RePEc:hin:jnlmpe:105735
    DOI: 10.1155/2012/105735
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