JOURNAL ARTICLE

Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions.

  • Published In: IMA Journal of Numerical Analysis, 2023, v. 43, n. 2. P. 1061 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Sun, Ting; Zheng, Chunxiong 3 of 3

Abstract

This article focuses on solving the exterior Stokes system in three-dimensional unbounded domains using the artificial boundary method. It introduces an operator formulation of the exact Dirichlet-to-Neumann (DtN) mapping and employs the Chebyshev best rational approximation of the square root function to derive a highly accurate and computationally efficient approximate DtN mapping, avoiding the need for eigen-decomposition via vectorial spherical harmonics. Auxiliary variables are introduced to reformulate the problem into an augmented saddle point system, which is solved using a block preconditioner and iterative methods. Numerical experiments involving flows generated by moving and rotating spheres demonstrate the method’s optimal convergence rates and computational efficiency.

Additional Information

  • Source:IMA Journal of Numerical Analysis. 2023/03, Vol. 43, Issue 2, p1061
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0272-4979
  • DOI:10.1093/imanum/drab106
  • Accession Number:162753552
  • Copyright Statement:Copyright of IMA Journal of Numerical Analysis is the property of Oxford University Press / USA 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.)

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