Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

Pressure stabilization of finite element approximations of time-dependent incompressible flow problems

Barrenechea, Gabriel and Blasco, Jordi (2007) Pressure stabilization of finite element approximations of time-dependent incompressible flow problems. Computer Methods in Applied Mechanics and Engineering, 197 (1-4). pp. 219-231.

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

This paper we develop and analyze pressure stabilized, finite element methods for the solution of the transient Stokes problem, which is a linear model problem of transient incompressible flow. A model for the bubble enrichment is proposed to stabilize the numerical solution and an implicit backward Euler method is considered for the time approximation. Different methods are obtained depending on whether bubbles are allowed to evolve with time or they are considered quasi-static. Stability estimates are provided for the two methods considered, both for the velocity and the pressure solutions. Numerical results obtained on test cases are also given, which confirm the theoretical stability results.