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A semi-explicit multi-step method for solving incompressible navier-stokes equations

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Ryzhakov, PavelMés informacióMés informacióMés informació
Martí, Julio MarceloMés informacióMés informació
Document typeArticle
Defense date2018-01
PublisherMultidisciplinary Digital Publishing Institute
Rights accessOpen Access
Attribution 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution 3.0 Spain
Abstract
The fractional step method is a technique that results in a computationally-efficient implementation of Navier–Stokes solvers. In the finite element-based models, it is often applied in conjunction with implicit time integration schemes. On the other hand, in the framework of finite difference and finite volume methods, the fractional step method had been successfully applied to obtain predictor-corrector semi-explicit methods. In the present work, we derive a scheme based on using the fractional step technique in conjunction with explicit multi-step time integration within the framework of Galerkin-type stabilized finite element methods. We show that under certain assumptions, a Runge–Kutta scheme equipped with the fractional step leads to an efficient semi-explicit method, where the pressure Poisson equation is solved only once per time step. Thus, the computational cost of the implicit step of the scheme is minimized. The numerical example solved validates the resulting scheme and provides the insights regarding its accuracy and computational efficiency.
CitationRyzhakov, P., Marti, J. A semi-explicit multi-step method for solving incompressible navier-stokes equations. "Applied sciences", Gener 2018, vol. 8, núm. 1, p. 1-14. 
URIhttp://hdl.handle.net/2117/116385
DOI10.3390/app8010119
ISSN2076-3417
Publisher versionhttp://www.mdpi.com/2076-3417/8/1/119
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  • Departament d'Enginyeria Civil i Ambiental - Articles de revista [2.617]
  • DECA - Grup de Recerca del Departament d'Enginyeria Civil i Ambiental - Articles de revista [173]
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