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An Efficient Two-Level Method for SolvingIncompressible Navier-Stokes Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年03期
Page:
157-162
Research Field:
·数学·
Publishing date:

Info

Title:
An Efficient Two-Level Method for SolvingIncompressible Navier-Stokes Equations
Author(s):
Du Binbin; Huang Jianguo
School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China
Keywords:
Arrow-Hurwicz method; incompressible Navier-Stokes equations; two-level method; Oseen scheme
PACS:
O24
DOI:
10.3969/j.issn.1001-4616.2019.03.021
Abstract:
This paper proposes a two-level Arrow-Hurwicz(A-H)method(simply called the m-A-H-1-Oseen method)for solving incompressible Navier-Stokes(N-S)equations. The incompressible N-S equations are first solved by the A-H method to obtain a numerical solution on a coarse mesh. Next,the desired numerical solution is obtained by solving the Oseen scheme,which is derived on a fine mesh by linearizing the original equations using the coarse solution,leading to the required two-level method. The convergence analysis is developed systematically.

References:

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Last Update: 2019-09-30