Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping

Handle URI:
http://hdl.handle.net/10754/598869
Title:
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping
Authors:
Bonito, Andrea; Guermond, Jean-Luc; Lee, Sanghyun
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.
Citation:
Bonito 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.
Publisher:
Springer Science + Business Media
Journal:
Numerical Mathematics and Advanced Applications - ENUMATH 2013
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
31-Oct-2014
DOI:
10.1007/978-3-319-10705-9_61
Type:
Book Chapter
ISSN:
1439-7358; 2197-7100
Sponsors:
Partially supported by NSF grant DMS-1254618 and award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBonito, Andreaen
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorLee, Sanghyunen
dc.date.accessioned2016-02-25T13:42:46Zen
dc.date.available2016-02-25T13:42:46Zen
dc.date.issued2014-10-31en
dc.identifier.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.en
dc.identifier.issn1439-7358en
dc.identifier.issn2197-7100en
dc.identifier.doi10.1007/978-3-319-10705-9_61en
dc.identifier.urihttp://hdl.handle.net/10754/598869en
dc.description.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.en
dc.description.sponsorshipPartially supported by NSF grant DMS-1254618 and award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherSpringer Science + Business Mediaen
dc.titleModified Pressure-Correction Projection Methods: Open Boundary and Variable Time Steppingen
dc.typeBook Chapteren
dc.identifier.journalNumerical Mathematics and Advanced Applications - ENUMATH 2013en
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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