skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

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.

Authors:
 [1];  [2];  [3];  [4]; ORCiD logo [5];  [6]
  1. King Abdullah Univ. of Science and Technology (KAUST), Thuwal, (Saudi Arabia)
  2. Federal Univ. of the State of Rio de Janeiro (Brazil)
  3. Basque Center for Applied Mathematics, Bilbao (Spain)
  4. King Abdullah Univ. of Science and Technology (KAUST), Thuwal, (Saudi Arabia); Univ. Nacional del Litoral, Santa Fe (Argentina)
  5. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  6. Curtin Univ., Perth, WA (Australia); Commonwealth Scientific and Industrial Research Organization (CSIRO), Kensington WA (Australia)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1429197
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Computational Science
Additional Journal Information:
Journal Volume: 18; Journal Issue: C; Journal ID: ISSN 1877-7503
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; isogeometric analysis; discrete differential forms; structure-preserving discrete spaces; multi-field discretizations; PetIGA; high-performance computing

Citation Formats

Sarmiento, Adel, Cortes, Adriano, Garcia, Daniel, Dalcin, Lisandro, Collier, Nathaniel O., and Calo, Victor. PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces. United States: N. p., 2016. Web. doi:10.1016/j.jocs.2016.09.010.
Sarmiento, Adel, Cortes, Adriano, Garcia, Daniel, Dalcin, Lisandro, Collier, Nathaniel O., & Calo, Victor. PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces. United States. doi:10.1016/j.jocs.2016.09.010.
Sarmiento, Adel, Cortes, Adriano, Garcia, Daniel, Dalcin, Lisandro, Collier, Nathaniel O., and Calo, Victor. Fri . "PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces". United States. doi:10.1016/j.jocs.2016.09.010. https://www.osti.gov/servlets/purl/1429197.
@article{osti_1429197,
title = {PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces},
author = {Sarmiento, Adel and Cortes, Adriano and Garcia, Daniel and Dalcin, Lisandro and Collier, Nathaniel O. and Calo, Victor},
abstractNote = {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.},
doi = {10.1016/j.jocs.2016.09.010},
journal = {Journal of Computational Science},
number = C,
volume = 18,
place = {United States},
year = {2016},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

Save / Share: