Picture of a black hole

Strathclyde Open Access research that creates ripples...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of research papers by University of Strathclyde researchers, including by Strathclyde physicists involved in observing gravitational waves and black hole mergers as part of the Laser Interferometer Gravitational-Wave Observatory (LIGO) - but also other internationally significant research from the Department of Physics. Discover why Strathclyde's physics research is making ripples...

Strathprints also exposes world leading research from 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.