This article is cited in 1 paper

Numerical algorithm for solving Prandtl equations with induced pressure in periodic case

R. K. Gaydukov

National Research University «Higher School of Economics», Moscow, Russia

Abstract: A viscous liquid flow along a semi-infinite plate with small periodic irregularities on the surface was considered for large Reynolds numbers. The flow near the plate is described by Prandtl equations with induced pressure which are non-classical PDE, because they contain a limiting term. The main goal is to construct a numerical algorithm for solving these equations with periodic boundary conditions. The results of numerical modeling of the flow are presented.

Key words: double-deck structure, averaging, Prandtl equations with induced pressure, periodic perturbations, numerical modeling.

MSC: 35Q35, 65N06, 76N20

Received: 13.05.2021
Revised: 21.10.2021
Accepted: 27.01.2022

DOI: 10.15372/SJNM20220201

 English version: Numerical Analysis and Applications, 2022, 15:2, 79–89

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