FELIX-2.0: New version of the finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation

Main Author: Ballantyne, John
Other Authors: Regnier, D., Dubray, N., Verrière, M., Schunck, N.
Format: Dataset
Terbitan: Mendeley , 2018
Subjects:
Online Access: https:/data.mendeley.com/datasets/t8b4h9g88r
ctrlnum 0.17632-t8b4h9g88r.1
fullrecord <?xml version="1.0"?> <dc><creator>Ballantyne, John</creator><title>FELIX-2.0: New version of the finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation</title><publisher>Mendeley</publisher><description>The time-dependent generator coordinate method (TDGCM) is a powerful method to study the large amplitude collective motion of quantum many-body systems such as atomic nuclei. Under the Gaussian Overlap Approximation (GOA), the TDGCM leads to a local, time-dependent Schr&#xF6;dinger equation in a multi-dimensional collective space. In this paper, we present the version 2.0 of the code FELIX that solves the collective Schr&#xF6;dinger equation in a finite element basis. This new version features: (i) the ability to solve a generalized TDGCM+GOA equation with a metric term in the collective Hamiltonian, (ii) support for new kinds of finite elements and different types of quadrature to compute the discretized Hamiltonian and overlap matrices, (iii) the possibility to leverage the spectral element scheme, (iv) an explicit Krylov approximation of the time propagator for time integration instead of the implicit Crank&#x2013;Nicolson method implemented in the first version, (v) an entirely redesigned workflow. We benchmark this release on an analytic problem as well as on realistic two-dimensional calculations of the low-energy fission of 240Pu and 256Fm. Low to moderate numerical precision calculations are most efficiently performed with simplex elements with a degree 2 polynomial basis. Higher precision calculations should instead use the spectral element method with a degree 4 polynomial basis. We emphasize that in a realistic calculation of fission mass distributions of 240Pu, FELIX-2.0 is about 20 times faster than its previous release (within a numerical precision of a few percents). The previous version of this program (AEYZ_v1_0) may be found at http://dx.doi.org/10.1016/j.cpc.2015.11.013</description><subject>Computational Physics</subject><contributor>Regnier, D.</contributor><contributor>Dubray, N.</contributor><contributor>Verri&#xE8;re, M.</contributor><contributor>Schunck, N.</contributor><type>Other:Dataset</type><identifier>10.17632/t8b4h9g88r.1</identifier><rights>GNU Public License Version 3</rights><rights>http://www.gnu.org/licenses/gpl-3.0.en.html</rights><relation>https:/data.mendeley.com/datasets/t8b4h9g88r</relation><date>2018-02-06T14:59:17Z</date><recordID>0.17632-t8b4h9g88r.1</recordID></dc>
format Other:Dataset
Other
author Ballantyne, John
author2 Regnier, D.
Dubray, N.
Verrière, M.
Schunck, N.
title FELIX-2.0: New version of the finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation
publisher Mendeley
publishDate 2018
topic Computational Physics
url https:/data.mendeley.com/datasets/t8b4h9g88r
contents The time-dependent generator coordinate method (TDGCM) is a powerful method to study the large amplitude collective motion of quantum many-body systems such as atomic nuclei. Under the Gaussian Overlap Approximation (GOA), the TDGCM leads to a local, time-dependent Schrödinger equation in a multi-dimensional collective space. In this paper, we present the version 2.0 of the code FELIX that solves the collective Schrödinger equation in a finite element basis. This new version features: (i) the ability to solve a generalized TDGCM+GOA equation with a metric term in the collective Hamiltonian, (ii) support for new kinds of finite elements and different types of quadrature to compute the discretized Hamiltonian and overlap matrices, (iii) the possibility to leverage the spectral element scheme, (iv) an explicit Krylov approximation of the time propagator for time integration instead of the implicit Crank–Nicolson method implemented in the first version, (v) an entirely redesigned workflow. We benchmark this release on an analytic problem as well as on realistic two-dimensional calculations of the low-energy fission of 240Pu and 256Fm. Low to moderate numerical precision calculations are most efficiently performed with simplex elements with a degree 2 polynomial basis. Higher precision calculations should instead use the spectral element method with a degree 4 polynomial basis. We emphasize that in a realistic calculation of fission mass distributions of 240Pu, FELIX-2.0 is about 20 times faster than its previous release (within a numerical precision of a few percents). The previous version of this program (AEYZ_v1_0) may be found at http://dx.doi.org/10.1016/j.cpc.2015.11.013
id IOS7969.0.17632-t8b4h9g88r.1
institution Universitas Islam Indragiri
affiliation onesearch.perpusnas.go.id
institution_id 804
institution_type library:university
library
library Teknologi Pangan UNISI
library_id 2816
collection Artikel mulono
repository_id 7969
city INDRAGIRI HILIR
province RIAU
shared_to_ipusnas_str 1
repoId IOS7969
first_indexed 2020-04-08T08:22:18Z
last_indexed 2020-04-08T08:22:18Z
recordtype dc
_version_ 1686587559311835136
score 17.538404