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arXiv · 1602.08727

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

A. F. Sarmiento·A. M. A. Cortes·D. A. Garcia·L. Dalcin·N. Collier·V. M. Calo
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Abstract

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.

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A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia, L. Dalcin, N. Collier, V. M. Calo. 2016-02-28. PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces. https://arxiv.org/abs/1602.08727

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