Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping
KAUST Grant NumberKUS-C1-016-04
Online Publication Date2014-10-31
Print Publication Date2015
Permanent link to this recordhttp://hdl.handle.net/10754/598869
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Abstract© Springer International Publishing Switzerland 2015. In this paper, we design and study two modifications of the first order standard pressure increment projection scheme for the Stokes system. The first scheme improves the existing schemes in the case of open boundary condition by modifying the pressure increment boundary condition, thereby minimizing the pressure boundary layer and recovering the optimal first order decay. The second scheme allows for variable time stepping. It turns out that the straightforward modification to variable time stepping leads to unstable schemes. The proposed scheme is not only stable but also exhibits the optimal first order decay. Numerical computations illustrating the theoretical estimates are provided for both new schemes.
CitationBonito A, Guermond J-L, Lee S (2014) Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping. Numerical Mathematics and Advanced Applications - ENUMATH 2013: 623–631. Available: http://dx.doi.org/10.1007/978-3-319-10705-9_61.
SponsorsPartially supported by NSF grant DMS-1254618 and award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).