Open Access
Translator Disclaimer
2012 An embedded boundary method for the Navier–Stokes equations on a time-dependent domain
Gregory Miller, David Trebotich
Commun. Appl. Math. Comput. Sci. 7(1): 1-31 (2012). DOI: 10.2140/camcos.2012.7.1

Abstract

We present a new conservative Cartesian grid embedded boundary method for the solution of the incompressible Navier–Stokes equations in a time-dependent domain. It is a Godunov-projection fractional step scheme in which hyperbolic advection and a variety of implicit and explicit Helmholtz operations are performed on time-stationary domains. The transfer of data from one fixed domain to another uses third-order interpolation. The method is second order accurate in L1 and first order in L. The algorithm is verified on flow geometries with prescribed boundary motion.

Citation

Download Citation

Gregory Miller. David Trebotich. "An embedded boundary method for the Navier–Stokes equations on a time-dependent domain." Commun. Appl. Math. Comput. Sci. 7 (1) 1 - 31, 2012. https://doi.org/10.2140/camcos.2012.7.1

Information

Received: 12 January 2011; Revised: 1 July 2011; Accepted: 19 September 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1273.35215
MathSciNet: MR2893419
Digital Object Identifier: 10.2140/camcos.2012.7.1

Subjects:
Primary: 35Q30 , 35R37 , 65M08

Keywords: embedded boundary , finite volume , moving domain , Navier–Stokes

Rights: Copyright © 2012 Mathematical Sciences Publishers

JOURNAL ARTICLE
31 PAGES


SHARE
Vol.7 • No. 1 • 2012
MSP
Back to Top