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Investigation of two‐dimensional channel flow with a partially compliant wall using finite volume–finite difference approach
Author(s) -
Zhang X.,
Ajaykumar R.,
Sudharsan N. M.,
Kumar K.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1022
Subject(s) - finite volume method , flow (mathematics) , smoothing , finite difference method , mathematics , computational fluid dynamics , finite difference , navier–stokes equations , channel (broadcasting) , mechanics , finite element method , mathematical analysis , geometry , computer science , physics , compressibility , thermodynamics , computer network , statistics
Abstract This paper presents a numerical simulation of steady two‐dimensional channel flow with a partially compliant wall. Navier–Stokes equation is solved using an unstructured finite volume method (FVM). The deformation of the compliant wall is determined by solving a membrane equation using finite difference method (FDM). The membrane equation and Navier–Stokes equation are coupled iteratively to determine the shape of the membrane and the flow field. A spring analogy smoothing technique is applied to the deformed mesh to ensure good mesh quality throughout the computing procedure. Numerical results obtained in the present simulation match well with that in the literature. Copyright © 2005 John Wiley & Sons, Ltd.