KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Extreme Computing Research Center
Material Science and Engineering Program
Numerical Porous Media SRI Center (NumPor)
Office of the VP
Physical Science and Engineering (PSE) Division
Online Publication Date2016-05-26
Print Publication Date2016-08
Permanent link to this recordhttp://hdl.handle.net/10754/611201
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AbstractWe present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framework on PETSc, a high-performance library for the scalable solution of partial differential equations, which simplifies the development of large-scale scientific codes, provides a rich environment for prototyping, and separates parallelism from algorithm choice. We describe the implementation of PetIGA, and exemplify its use by solving a model nonlinear problem. To illustrate the robustness and flexibility of PetIGA, we solve some challenging nonlinear partial differential equations that include problems in both solid and fluid mechanics. We show strong scaling results on up to 40964096 cores, which confirm the suitability of PetIGA for large scale simulations.
CitationPetIGA: A framework for high-performance isogeometric analysis 2016 Computer Methods in Applied Mechanics and Engineering
SponsorsWe would like to acknowledge the open source software packages that made this work possible: PETSc , NumPy , matplotlib , IPython . We would like to thank Lina María Bernal Martinez, Gabriel Andres Espinosa Barrios, Federico Fuentes-Caycedo, Juan Camilo Mahecha Zambrano for their work on the hyper-elasticity implementation as a final project to the Non-linear Finite Element class taught by V.M. Calo and N. Collier for the Mechanical Engineering Department at Universidad de Los Andes in Bogotá, Colombia in July 2012. We would like to thank Adel Sarmiento Rodriguez for the visualization work on figures 12 and 13. This work is part of the European Union’s Horizon 2020 research and innovation programme of the Marie Skłodowska-Curie grant agreement No. 644602. This work was also supported by the Center for Numerical Porous Media at King Abdullah University of Science and Technology and Agencia Nacional de Promoción Científica y Tecnológica grants PICT 0938–13, PICT 2660–14 and PICT-E 0191–14.