Time-periodic incompressible flow simulation using non-linear frequency domain approach

The capability of nonlinear reduced frequency domain (NLFD) approach in predicting the flow field of time-periodic incompressible flow is investigated. The efficient NLFD method uses Fourier series representation in time considering the assumption of solution periodicity and the resulting nonlinear...

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Main Authors: M. H. Shojaeefard, A. Khorampanahi, M. Kharati Koopaee
Format: Article
Language:English
Published: Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek 2017-01-01
Series:Tehnički Vjesnik
Subjects:
Online Access:https://hrcak.srce.hr/file/277432
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author M. H. Shojaeefard
A. Khorampanahi
M. Kharati Koopaee
author_facet M. H. Shojaeefard
A. Khorampanahi
M. Kharati Koopaee
author_sort M. H. Shojaeefard
collection DOAJ
description The capability of nonlinear reduced frequency domain (NLFD) approach in predicting the flow field of time-periodic incompressible flow is investigated. The efficient NLFD method uses Fourier series representation in time considering the assumption of solution periodicity and the resulting nonlinear equations are solved using pseudo-spectral approach. In this manner, the desired periodic solution can directly be obtained without the need to solve the initial transient part. Thus, without loss of generality a considerable computational cost reduction can be achieved in comparison with the common time-accurate methods. In the present algorithm (INLFD) the NLFD approach is used to solve the flow field in an incompressible formulation and the validation is performed using some periodic test cases with analytical solutions. The results show that capturing only a limited number of temporal modes can provide an accurate estimation of the flow field. Finally, the computational costs of the INLFD and a time-accurate method are also compared which demonstrate the efficiency of the INLFD method in representing nonlinear flow field physics by savings in computational time up to 50 percent.
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spelling doaj.art-18aae48a51164dea81b86fe697504be12024-04-15T14:25:27ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392017-01-012451307131410.17559/TV-20150707172830Time-periodic incompressible flow simulation using non-linear frequency domain approachM. H. Shojaeefard0A. Khorampanahi1M. Kharati Koopaee2Faculty of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran, 168461Faculty of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran, 168461Faculty of Mechanical Engineering, Shitaz University of Technology, Modares Blv., Shiraz, Iran, 715571The capability of nonlinear reduced frequency domain (NLFD) approach in predicting the flow field of time-periodic incompressible flow is investigated. The efficient NLFD method uses Fourier series representation in time considering the assumption of solution periodicity and the resulting nonlinear equations are solved using pseudo-spectral approach. In this manner, the desired periodic solution can directly be obtained without the need to solve the initial transient part. Thus, without loss of generality a considerable computational cost reduction can be achieved in comparison with the common time-accurate methods. In the present algorithm (INLFD) the NLFD approach is used to solve the flow field in an incompressible formulation and the validation is performed using some periodic test cases with analytical solutions. The results show that capturing only a limited number of temporal modes can provide an accurate estimation of the flow field. Finally, the computational costs of the INLFD and a time-accurate method are also compared which demonstrate the efficiency of the INLFD method in representing nonlinear flow field physics by savings in computational time up to 50 percent.https://hrcak.srce.hr/file/277432incompressible flownon-linear reduced frequencypressure Poissonpseudo-spectraltime-periodic
spellingShingle M. H. Shojaeefard
A. Khorampanahi
M. Kharati Koopaee
Time-periodic incompressible flow simulation using non-linear frequency domain approach
Tehnički Vjesnik
incompressible flow
non-linear reduced frequency
pressure Poisson
pseudo-spectral
time-periodic
title Time-periodic incompressible flow simulation using non-linear frequency domain approach
title_full Time-periodic incompressible flow simulation using non-linear frequency domain approach
title_fullStr Time-periodic incompressible flow simulation using non-linear frequency domain approach
title_full_unstemmed Time-periodic incompressible flow simulation using non-linear frequency domain approach
title_short Time-periodic incompressible flow simulation using non-linear frequency domain approach
title_sort time periodic incompressible flow simulation using non linear frequency domain approach
topic incompressible flow
non-linear reduced frequency
pressure Poisson
pseudo-spectral
time-periodic
url https://hrcak.srce.hr/file/277432
work_keys_str_mv AT mhshojaeefard timeperiodicincompressibleflowsimulationusingnonlinearfrequencydomainapproach
AT akhorampanahi timeperiodicincompressibleflowsimulationusingnonlinearfrequencydomainapproach
AT mkharatikoopaee timeperiodicincompressibleflowsimulationusingnonlinearfrequencydomainapproach