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

作者：Sarmiento A F^*; Cortes A M A; Garcia D A; Dalcin L; Collier N; Calo V M

来源：Journal of Computational Science, 2017, 18: 117-131.

DOI：10.1016/j.jocs.2016.09.010

• Isogeometric analysis
• Discrete differential forms
• Structure-preserving discrete spaces
• Multi-field discretizations
• PetIGA
• High-performance computing

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.

• 出版日期2017-1
• 单位CSIRO