Implicit numerical multidimensional heat-conduction algorithm parallelization and acceleration on a graphics card

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F16%3APU118531" target="_blank" >RIV/00216305:26210/16:PU118531 - isvavai.cz</a>

Výsledek na webu

<a href="http://mit.imt.si/Revija/izvodi/mit162/pohanka.pdf" target="_blank" >http://mit.imt.si/Revija/izvodi/mit162/pohanka.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.17222/mit.2014.128" target="_blank" >10.17222/mit.2014.128</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Implicit numerical multidimensional heat-conduction algorithm parallelization and acceleration on a graphics card

Popis výsledku v původním jazyce

Analytical solutions are much less computationally intensive than numerical ones, and moreover, they are more accurate because they do not contain numerical errors; however, they can only describe a small group of simple heat-conduction prob- lems. A numerical simulation of heat conduction is often used as it is able to describe complex problems, but its computational time is much longer, especially for unsteady multidimensional models with temperature-dependent material properties. After a discretization using the implicit scheme, the heat-conduction problem can be described with N non-linear equations, where N is the large number of the elements of the discretized model. This set of equations can be efficiently solved with an iteration of the line-by-line method, based on the heat-flux superposition, although the computational procedure is strictly serial. This means that no parallel computation can be done, which is strictly required when a graphics card is used to accelerate the computation. This paper describes a multidimensional numerical model of unsteady heat conduction solved with the line-by-line method and a modification of this method for a highly parallel computation. An enormous increase in the speed is demonstrated for the modified line-by-line method accelerated on the graphics card, and the durations of the computations for various mesh sizes are compared with the original line-by-line method.

Název v anglickém jazyce

Implicit numerical multidimensional heat-conduction algorithm parallelization and acceleration on a graphics card

Popis výsledku anglicky

Analytical solutions are much less computationally intensive than numerical ones, and moreover, they are more accurate because they do not contain numerical errors; however, they can only describe a small group of simple heat-conduction prob- lems. A numerical simulation of heat conduction is often used as it is able to describe complex problems, but its computational time is much longer, especially for unsteady multidimensional models with temperature-dependent material properties. After a discretization using the implicit scheme, the heat-conduction problem can be described with N non-linear equations, where N is the large number of the elements of the discretized model. This set of equations can be efficiently solved with an iteration of the line-by-line method, based on the heat-flux superposition, although the computational procedure is strictly serial. This means that no parallel computation can be done, which is strictly required when a graphics card is used to accelerate the computation. This paper describes a multidimensional numerical model of unsteady heat conduction solved with the line-by-line method and a modification of this method for a highly parallel computation. An enormous increase in the speed is demonstrated for the modified line-by-line method accelerated on the graphics card, and the durations of the computations for various mesh sizes are compared with the original line-by-line method.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20501 - Materials engineering

Projekt

<a href="/cs/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Materiali in tehnologije

ISSN

1580-2949

e-ISSN

1580-3414

Svazek periodika

50

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SI - Slovinská republika

Počet stran výsledku

5

Strana od-do

183-187

Kód UT WoS článku

000375628600003

EID výsledku v databázi Scopus

2-s2.0-84981350559