Computing Stokes flows in periodic channels via rational approximation DOI Creative Commons
Yidan Xue

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Journal Year: 2025, Volume and Issue: 481(2313)

Published: May 1, 2025

Rational approximation has proven to be a powerful method for solving two-dimensional fluid problems. At small Reynolds numbers, Stokes flows can represented by two analytic functions, known as Goursat functions. (Xue et al. 2024 SIAM J. Sci. Comput . 46 , A1214–A1234 (doi:10.1137/23m1576876)) recently introduced the lightning-adaptive Antoulas–Anderson (AAA) rational algorithm computing in general domains approximating functions using In this paper, we introduce new periodic channels trigonometric with poles placed via AAA-least squares (Costa & Trefethen 2023 European Congress of Mathematics (ed. A Hujdurović), pp. 511–534 (doi:10.4171/8ecm/16)) conformal map domain boundary. We apply Poiseuille and Couette problems between various channel geometries, where solutions are computed at least six-digit accuracy less than 1 s. The applicability is highlighted computation dynamics particles unsteady flows.

Language: Английский

Computing Stokes flows in periodic channels via rational approximation DOI Creative Commons
Yidan Xue

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Journal Year: 2025, Volume and Issue: 481(2313)

Published: May 1, 2025

Rational approximation has proven to be a powerful method for solving two-dimensional fluid problems. At small Reynolds numbers, Stokes flows can represented by two analytic functions, known as Goursat functions. (Xue et al. 2024 SIAM J. Sci. Comput . 46 , A1214–A1234 (doi:10.1137/23m1576876)) recently introduced the lightning-adaptive Antoulas–Anderson (AAA) rational algorithm computing in general domains approximating functions using In this paper, we introduce new periodic channels trigonometric with poles placed via AAA-least squares (Costa & Trefethen 2023 European Congress of Mathematics (ed. A Hujdurović), pp. 511–534 (doi:10.4171/8ecm/16)) conformal map domain boundary. We apply Poiseuille and Couette problems between various channel geometries, where solutions are computed at least six-digit accuracy less than 1 s. The applicability is highlighted computation dynamics particles unsteady flows.

Language: Английский

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