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

Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations


© 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.
Original languageEnglish (US)
Title of host publicationNumerical Mathematics and Advanced Applications - ENUMATH 2013
PublisherSpringer Nature
Number of pages9
ISBN (Print)9783319107042
StatePublished - Oct 31 2014
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: Partially supported by NSF grant DMS-1254618 and award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


Dive into the research topics of 'Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping'. Together they form a unique fingerprint.

Cite this