Synopsis
ITHACA-SEM: In real Time Highly Advanced Computational Applications with Spectral Element Methods - Reduced Order Models for Nektar++ , is a C++ package for the Model Order Reduction that uses simulations from the spectral/hp element software Nektar++. It uses Eigen to perform the matrix decompositions required for parametric model order reduction. The GitHub repository is available here: ITHACA-SEM.
Requirements
The requirement is an installation of Nektar++ in version 4.4.0.
Features
As of Feb. 2019:
- currently limited to steady-state Navier-Stokes solutions
- allows using a variable Reynolds number (specified by the kinematic viscosity) as parameter
- perform offline simulation in ITHACA-SEM or use precomputed Nektar++ *.fld files as snapshot solutions
- computes a POD ROM
- computes ROM parameter sweeps
References
ITHACA-SEM has been used in the following publications, i.e., either the c++ version or a previous python3 version, which is now listed under 'deprecated' in the GitHub repo.
- M. Hess, G. Rozza. "A Spectral Element Reduced Basis Method in Parametric CFD". In: Radu F., Kumar K., Berre I., Nordbotten J., Pop I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham (2019). "ArXiv preprint"
- M. Hess, A. Quaini, G. Rozza. "Reduced Basis Model Order Reduction for Navier-Stokes equations in domains with walls of varying curvature", 2019, submitted.
- M. Hess, A. Alla, A. Quaini, G. Rozza, M. Gunzburger. "A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions", Comput. Methods Appl. Mech. Engrg., 351:379-403, 2019. "ArXiv preprint"
- M. Hess, A. Quaini, G. Rozza. "A Spectral Element Reduced Basis Method for Navier-Stokes Equations with Geometric Variations", 2018, submitted.
Links
GitHub repository: https://github.com/mathLab/ITHACA-SEM
Website: https://mathlab.sissa.it/ITHACA-SEM