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A comparison of adjoint and data-centric verification techniques

Cyr, Eric C.; Shadid, John N.; Smith, Thomas M.; Pawlowski, Roger

This document summarizes the results from a level 3 milestone study within the CASL VUQ effort. We compare the adjoint-based a posteriori error estimation approach with a recent variant of a data-centric verification technique. We provide a brief overview of each technique and then we discuss their relative advantages and disadvantages. We use Drekar::CFD to produce numerical results for steady-state Navier Stokes and SARANS approximations. 3

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TYPE SAND Report YEAR 2013
DOIOSTI

Stabilization and scalable block preconditioning for the Navier-Stokes equations

Journal of Computational Physics

Shadid, John N.; Tuminaro, Raymond S.

This study compares several block-oriented preconditioners for the stabilized finite element discretization of the incompressible Navier-Stokes equations. This includes standard additive Schwarz domain decomposition methods, aggressive coarsening multigrid, and three preconditioners based on an approximate block LU factorization, specifically SIMPLEC, LSC, and PCD. Robustness is considered with a particular focus on the impact that different stabilization methods have on preconditioner performance. Additionally, parallel scaling studies are undertaken. The numerical results indicate that aggressive coarsening multigrid, LSC and PCD all have good algorithmic scalability. Coupling this with the fact that block methods can be applied to systems arising from stable mixed discretizations implies that these techniques are a promising direction for developing scalable methods for Navier-Stokes. © 2011.

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TYPE Journal Article YEAR 2012
OSTIScopus
Results 176–200 of 290
Results 176–200 of 290