A unified fractional-step, artificial compressibility and pressure-projection formulation for solving the incompressible Navier-Stokes equations

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dc.contributor.author Könözsy, László Z.
dc.contributor.author Drikakis, Dimitris
dc.date.accessioned 2017-03-09T10:16:22Z
dc.date.available 2017-03-09T10:16:22Z
dc.date.issued 2014-08-28
dc.identifier.citation Könözsy, L., Drikakis, D. A Unified fractional-step, artificial compressibility and pressure-projection formulation for solving the incompressible Navier-stokes equations (2014) Communications in Computational Physics, 16 (5), pp. 1135-1180. en_UK
dc.identifier.issn 1815-2406
dc.identifier.uri https://doi.org/10.4208/cicp.240713.080514a
dc.identifier.uri https://dspace.lib.cranfield.ac.uk/handle/1826/11587
dc.description.abstract This paper introduces a unified concept and algorithm for the fractionalstep (FS), artificial compressibility (AC) and pressure-projection (PP) methods for solving the incompressible Navier-Stokes equations. The proposed FSAC-PP approach falls into the group of pseudo-time splitting high-resolution methods incorporating the characteristics-based (CB) Godunov-type treatment of convective terms with PP methods. Due to the fact that the CB Godunov-type methods are applicable directly to the hyperbolic AC formulation and not to the elliptical FS-PP (split) methods, thus the straightforward coupling of CB Godunov-type schemes with PP methods is not possible. Therefore, the proposed FSAC-PP approach unifies the fully-explicit AC and semi-implicit FS-PP methods of Chorin including a PP step in the dual-time stepping procedure to a) overcome the numerical stiffness of the classical AC approach at (very) low and moderate Reynolds numbers, b) incorporate the accuracy and convergence properties of CB Godunov-type schemes with PP methods, and c) further improve the stability and efficiency of the AC method for steady and unsteady flow problems. The FSAC-PP method has also been coupled with a non-linear, full-multigrid and full approximation storage (FMG-FAS) technique to further increase the efficiency of the solution. For validating the proposed FSAC-PP method, computational examples are presented for benchmark problems. The overall results show that the unified FSAC-PP approach is an efficient algorithm for solving incompressible flow problems. en_UK
dc.language.iso en en_UK
dc.publisher Global Science Press en_UK
dc.rights Published by Global Science Press. This is the Author Accepted Manuscript. This article may be used for personal use only. The final published version is available online at 10.4208/cicp.240713.080514a. Please refer to any applicable publisher terms of use.
dc.subject Navier-Stokes equations en_UK
dc.subject characteristics-based Godunov-type scheme en_UK
dc.subject unified method en_UK
dc.title A unified fractional-step, artificial compressibility and pressure-projection formulation for solving the incompressible Navier-Stokes equations en_UK
dc.type Article en_UK
dc.identifier.cris 16751789


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