Abstract
We describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier-Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 117-131 |
| Number of pages | 15 |
| Journal | Journal of Computational Science |
| Volume | 18 |
| DOIs | |
| State | Published - Oct 11 2016 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledgements: This publication was made possible in part by a National Priorities Research Program grant 7-1482-1-278 from the Qatar National Research Fund (a member of The Qatar Foundation), by the European Union's Horizon 2020 Research and Innovation Program of the Marie Skłodowska-Curie grant agreement No. 644602 and the Center for Numerical Porous Media at King Abdullah University of Science and Technology (KAUST). L. Dalcin was partially supported by Agencia Nacional de Promoción Científica y Tecnológica grants PICT 2014–2660 and PICT-E 2014–0191. The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES.