PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces

Sarmiento, A.; Côrtes, A.; Garcia, D.; Dalcin, L.; Collier, N.; Calo, Victor

doi:10.1016/j.jocs.2016.09.010

Access Status

Fulltext not available

Authors

Sarmiento, A.

Côrtes, A.

Garcia, D.

Dalcin, L.

Collier, N.

Calo, Victor

Date

2017

Type

Journal Article

Metadata

Show full item record

Citation

Sarmiento, A. and Côrtes, A. and Garcia, D. and Dalcin, L. and Collier, N. and Calo, V. 2017. PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces. Journal of Computational Science. 18: pp. 117-131.

Source Title

Journal of Computational Science

DOI

10.1016/j.jocs.2016.09.010

ISSN

1877-7503

School

Department of Applied Geology

URI

http://hdl.handle.net/20.500.11937/50904

Collection

Curtin Research Publications

Abstract

© 2016 Elsevier B.V.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.