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2011.36: Fast Implicit Solvers using Stabilized Mixed Approximation

2011.36: Qifeng Liao and David Silvester (2011) Fast Implicit Solvers using Stabilized Mixed Approximation.

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Abstract

This paper concerns a new class of robust and efficient methods for solving the Navier-Stokes equations for unsteady incompressible flow. In previous work (Kay et al. SIAM J. Sci. Comput. 2010; 32:111-128) we established the effectiveness of an implicit time integrator using a stabilized trapezoid rule with an explicit Adams-Bashforth method for error control. The role of the stability of the spatial approximation on the overall accuracy of the implicit solution algorithm is the primary focus here. In particular, the relationship between spatial stabilization and temporal solution accuracy is assessed computationally for the case of the lowest order conforming mixed approximation.

Item Type:MIMS Preprint
Uncontrolled Keywords:Stabilized finite element approximation, Navier-Stokes, implicit time stepping
Subjects:MSC 2000 > 65 Numerical analysis
MSC 2000 > 76 Fluid mechanics
MIMS number:2011.36
Deposited By:professor david silvester
Deposited On:09 May 2011

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