Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem

T. Gallouët, R. Herbin, D. Maltese and A. Novotny

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 137, issue C, 325-349

Abstract: We prove in this paper the convergence of the marker-and-cell (MAC) scheme for the discretization of the semi-stationary compressible Stokes equations on two or three dimensional Cartesian grids. Existence of a solution to the scheme is stated, followed by estimates on approximate solutions, which yields the convergence of the approximate solutions, up to a subsequence, and in an appropriate sense. We then prove that the limit of the approximate solutions satisfies the mass balance and mass momentum equations, as well as the equation of state, which is the main difficulty of this study.

Keywords: Compressible fluids; Navier–Stokes equations; Cartesian grids; Marker-and-cell scheme; Convergence (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475416301963
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:137:y:2017:i:c:p:325-349

DOI: 10.1016/j.matcom.2016.10.003

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().