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

Sarmiento, Adel; Cortes, Adriano; Garcia, Daniel; Dalcin, Lisandro; Collier, Nathaniel O.; Calo, Victor

doi:10.1016/j.jocs.2016.09.010

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

Journal Article · Fri Oct 07 00:00:00 EDT 2016 · Journal of Computational Science

DOI:https://doi.org/10.1016/j.jocs.2016.09.010· OSTI ID:1429197

Sarmiento, Adel ^[1]; Cortes, Adriano ^[2]; Garcia, Daniel ^[3]; Dalcin, Lisandro ^[4]; ^[5]; Calo, Victor ^[6]

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.

View Accepted Manuscript (DOE)

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, Journal Name: Journal of Computational Science Journal Issue: C Vol. 18; ISSN 1877-7503

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Dispersion-optimized quadrature rules for isogeometric analysis: Modified inner products, their dispersion properties, and optimally blended schemes Puzyrev, Vladimir; Deng, Quanling; Calo, Victor Computer Methods in Applied Mechanics and Engineering, Vol. 320 https://doi.org/10.1016/j.cma.2017.03.029	journal	June 2017
Refined isogeometric analysis for generalized Hermitian eigenproblems Hashemian, Ali; Pardo, David; Calo, Victor M. Computer Methods in Applied Mechanics and Engineering, Vol. 381 https://doi.org/10.1016/j.cma.2021.113823	journal	August 2021
A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems: A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems Coley, Christopher; Benzaken, Joseph; Evans, John A. Numerical Linear Algebra with Applications, Vol. 25, Issue 3 https://doi.org/10.1002/nla.2145	journal	January 2018
Immersogeometric Analysis of Bioprosthetic Heart Valves, Using the Dynamic Augmented Lagrangian Method Hsu, Ming-Chen; Kamensky, David Frontiers in Computational Fluid-Structure Interaction and Flow Simulation https://doi.org/10.1007/978-3-319-96469-0_5	book	January 2018

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97 MATHEMATICS AND COMPUTING
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discrete differential forms
high-performance computing
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structure-preserving discrete spaces

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