PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces
Journal Article
·
· Journal of Computational Science
- King Abdullah Univ. of Science and Technology (KAUST), Thuwal, (Saudi Arabia)
- Federal Univ. of the State of Rio de Janeiro (Brazil)
- Basque Center for Applied Mathematics, Bilbao (Spain)
- King Abdullah Univ. of Science and Technology (KAUST), Thuwal, (Saudi Arabia); Univ. Nacional del Litoral, Santa Fe (Argentina)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Curtin Univ., Perth, WA (Australia); Commonwealth Scientific and Industrial Research Organization (CSIRO), Kensington WA (Australia)
We describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, 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.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1429197
- Journal Information:
- Journal of Computational Science, Vol. 18, Issue C; ISSN 1877-7503
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 25 works
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