Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC

The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed...

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Príomhchruthaitheoir: Georg Schiebl, Mark
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Foilsithe / Cruthaithe: KIT Scientific Publishing 2022
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author Georg Schiebl, Mark
author_browse Georg Schiebl, Mark
author_facet Georg Schiebl, Mark
author_sort Georg Schiebl, Mark
collection Directory of Open Access Books
description The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed. Moreover, the GENERIC-based structure-preserving numerical methods are extended to the context of large-strain thermoelasticity and thermo-viscoelasticity.
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institution Directory of Open Access Books
language eng
publishDate 2022
publishDateRange 2022
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spelling doab-20.500.12854ir-783892025-07-30T11:56:42Z Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC Georg Schiebl, Mark Finite Elemente Methode Thermo-Viskoelastizität Molekulardynamik GENERIC Strukturerhaltende Raum-Zeit Integration thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed. Moreover, the GENERIC-based structure-preserving numerical methods are extended to the context of large-strain thermoelasticity and thermo-viscoelasticity. 2022-02-19T04:01:07Z 2022-02-19T04:01:07Z 2022-02-18T15:02:41Z 2022 book ONIX_20220218_9783731511175_13 OCN: 1308756923 2363-4936 https://library.oapen.org/handle/20.500.12657/52952 9783731511175 https://directory.doabooks.org/handle/20.500.12854/78389 eng Schriftenreihe des Instituts für Mechanik, Karlsruher Institut für Technologie open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/52952/1/9783731511175.pdf https://library.oapen.org/bitstream/20.500.12657/52952/1/9783731511175.pdf https://library.oapen.org/bitstream/20.500.12657/52952/1/9783731511175.pdf https://library.oapen.org/bitstream/20.500.12657/52952/1/9783731511175.pdf KIT Scientific Publishing KIT Scientific Publishing 10.5445/KSP/1000136011 10.5445/KSP/1000136011 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731511175 AG Universitätsverlage KIT Scientific Publishing 240 Karlsruhe open access
spellingShingle Finite Elemente Methode
Thermo-Viskoelastizität
Molekulardynamik
GENERIC
Strukturerhaltende Raum-Zeit Integration
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building
Georg Schiebl, Mark
Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC
title Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC
title_full Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC
title_fullStr Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC
title_full_unstemmed Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC
title_short Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC
title_sort thermodynamically consistent space time discretization of non isothermal mechanical systems in the framework of generic
topic Finite Elemente Methode
Thermo-Viskoelastizität
Molekulardynamik
GENERIC
Strukturerhaltende Raum-Zeit Integration
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building
topic_facet Finite Elemente Methode
Thermo-Viskoelastizität
Molekulardynamik
GENERIC
Strukturerhaltende Raum-Zeit Integration
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building
url ONIX_20220218_9783731511175_13
work_keys_str_mv AT georgschieblmark thermodynamicallyconsistentspacetimediscretizationofnonisothermalmechanicalsystemsintheframeworkofgeneric