Difference between revisions of "ITHACA-SEM"

Revision as of 11:51, 21 June 2019

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).

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

Contact

Martin Hess

@@ Line 33: / Line 33: @@
 *  [[User:Hessm| M. Hess]], A. Quaini, G. Rozza. "<span class="plainlinks">[https://arxiv.org/abs/1901.03708 Reduced Basis Model Order Reduction for Navier-Stokes equations in domains with walls of varying curvature]</span>", 2019, submitted.
-*  [[User:Hessm| M. Hess]], A. Alla, A. Quaini, G. Rozza, M. Gunzburger. "<span class="plainlinks">[https://arxiv.org/abs/1807.08851 A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions]</span>", 2018, submitted.
+*  [[User:Hessm| M. Hess]], A. Alla, A. Quaini, G. Rozza, M. Gunzburger. "<span class="plainlinks">[https://www.sciencedirect.com/science/article/pii/S0045782519301896 A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions]</span>", Comput. Methods Appl. Mech. Engrg., 351:379-403, 2019. "<span class="plainlinks">[https://arxiv.org/abs/1807.08851 ArXiv preprint]</span>"
 *  [[User:Hessm| M. Hess]], A. Quaini, G. Rozza. "<span class="plainlinks">[https://arxiv.org/abs/1812.11051 A Spectral Element Reduced Basis Method for Navier-Stokes Equations with Geometric Variations]</span>", 2018, submitted.