PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
For researchers in computational fluid dynamics and isogeometric analysis, this toolbox provides a general multi-field discretization tool, though it is an incremental improvement over existing PetIGA.
The paper presents PetIGA-MF, a high-performance toolbox for isogeometric discrete differential forms based on B-splines, and demonstrates its accuracy and robustness by solving viscous flow problems (Darcy, Stokes, Brinkman, Navier-Stokes) with optimal convergence rates.
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.