A multigrid accelerated high-order pressure correction compact scheme for incompressible Navier-Stokes solvers

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dc.contributor.author Mandikas, Vassilios G.
dc.contributor.author Mathioudakis, Emmanuel N.
dc.contributor.author Kozyrakis, G. V.
dc.contributor.author Ekaterinaris, John A.
dc.contributor.author Kampanis, Nikolaos A.
dc.date.accessioned 2014-10-14T15:26:07Z
dc.date.available 2014-10-14T15:26:07Z
dc.date.issued 2014-09-02
dc.identifier.isbn 978-960-8475-22-9
dc.identifier.uri http://lib.amcl.tuc.gr/handle/triton/69
dc.description.abstract A high-order accurate compact finite-difference numerical scheme, based on multigrid techniques, is constructed on staggered grids in order to develop an efficient incompressible Navier-Stokes solver. The enforcement of the incompressibility condition by solving a Poisson-type equation at each time step is commonly accepted to be the most computationally demanding part of the global pressure correction procedure of a numerical method. Since the efficiency of the overall algorithm depends on the Poisson solver, a multigrid acceleration technique coupled with compact high-order descretization scheme is implemented to accelerate the iterative procedure of the pressure updates and enhance computational efficiency. The employment of geometric multigrid techniques on staggered grids has an intrinsic difficulty, since the coarse grids do not constitute part of the finer grids. Appropriate boundary closure formulas are developed for the cell-centered pressure approximations of the boundary conditions. Performance investigations demonstrate that the proposed multigrid algorithm can significantly accelerate the numerical solution process, while retaining the high order of accuracy of the numerical method even for high Reynolds number flows. en_US
dc.language.iso en en_US
dc.publisher AMCL/TUC en_US
dc.subject Global pressure correction en_US
dc.subject Poisson type equation en_US
dc.subject Incompressible Navier-Stokes equations en_US
dc.subject High-order compact schemes en_US
dc.subject staggered grids en_US
dc.subject Geometric MultiGrid techniques en_US
dc.title A multigrid accelerated high-order pressure correction compact scheme for incompressible Navier-Stokes solvers en_US
dc.type Article en_US

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  • NumAn2014 Proceedings
    Proceedings of the 6th International Conference on Numerical Analysis (NumAn2014)

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