纳维-斯托克斯方程的正规化定向无边界条件：分析和数值研究

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-03-21 DOI:10.1016/j.amc.2025.129398

Pedro Nogueira, Ana L. Silvestre

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引用次数: 0

摘要

考虑具有均匀混合边界条件和外力作用的二维和三维稳定Navier-Stokes方程。经典的无操作（CDN）边界条件被正则化的定向无操作（RDDN）条件所取代，该条件取决于参数0<；δ≪1。在建立了具有RDDN条件的Navier-Stokes方程的适定性之后，证明了具有定向无行为（DDN）条件的Navier-Stokes方程的解具有δ→0的收敛性。通过二维数值模拟说明了RDDN条件与CDN和DDN条件的比较。当δ→0时的理论收敛结果也得到了数值结果的证实。

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Regularized directional do-nothing boundary conditions for the Navier-Stokes equations: Analytical and numerical study

We consider the steady 2D and 3D Navier-Stokes equations with homogeneous mixed boundary conditions and the action of an external force. The classical do-nothing (CDN) boundary condition is replaced by a regularized directional do-nothing (RDDN) condition which depends on a parameter

0 < δ ≪ 1

. After establishing the well-posedness of the Navier-Stokes equations with RDDN condition, we prove the convergence, as

δ \to 0

, to the solution of the Navier-Stokes equations with directional do-nothing (DDN) condition. The use of the RDDN condition in comparison with the CDN and DDN conditions is illustrated with 2D numerical simulations. The theoretical convergence result as

δ \to 0

is also confirmed by our numerical results.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.