Use this URL to cite this publication: https://hdl.handle.net/20.500.14911/153070
ADI scheme for partially dimension reduced heat conduction models
Publication Type (CRIS)
Straipsnis Web of Science ir Scopus duomenų bazėje / Article in Web of Science and Scopus database (S1)
Publication Type (eLABa)
Straipsnis Web of Science DB / Web of Science DB article (S1)
VILNIUS TECH Research Priorities and Topics
Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes (FM0101)
Lithuanian Intelligent Specialization
Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies (L104)
Author(s)
| Author | Affiliation | |
|---|---|---|
Panassenko, Grigory Petrovitch | University of Lyon | Vilniaus universitetas |
Pileckas, Konstantinas | Vilniaus universitetas | |
Šumskas, Vytenis | Vilniaus universitetas |
Title
ADI scheme for partially dimension reduced heat conduction models
Raimondas Čiegis, Grigory Panasenko, Konstantinas Pileckas, Vytenis Šumskas
Is part of
Computers & mathematics with applications
Published In
| Year | Volume | Issue | Start Page | End Page |
|---|---|---|---|---|
2020 | 80 | 5 | 1275 | 1286 |
Publisher
Oxford, Kidlington : Elsevier
Publisher (trusted)
Referenced in Database(s)(DBs)
Extent
p. 1275-1286
URI
| URI | Access Rights |
|---|---|
| https://hdl.handle.net/20.500.14911/153070 | |
| https://www.sciencedirect.com/science/article/pii/S0898122120302613?via%3Dihub | Viso teksto dokumentas (prieiga prenumeratoriams) / Full Text Document (Access for Subscribers) |
| https://doi.org/10.1016/j.camwa.2020.06.012 | Viso teksto dokumentas (prieiga prenumeratoriams) / Full Text Document (Access for Subscribers) |
| DOI |
Cited references
12
Science / Art Area
Gamtos mokslai / Natural Sciences (N)
Field of Science / Art
Matematika / Mathematics (N001)
Abstract (en)
The ADI type finite volume scheme is constructed to solve the non-classical heat conduction equation. The original 3D model in a tube is reduced to a hybrid dimension model in a large part of the domain. Special interface conditions are defined between 3D and 1D parts. It is assumed that the solution satisfies radial symmetry conditions in 3D parts. The finite volume method is applied to approximate spatial differential operators and ADI splitting is used for time integration. It is proved that the ADI scheme is unconditionally stable. Efficient factorization algorithm is presented to solve the obtained systems of equations. Results of computational experiments confirm the theoretical error analysis.
Resource Type (COAR)
TextJournalJournal articleResearch article
Language
Anglų / English (en)
Country
Jungtinė Karalystė / United Kingdom of Great Britain and Northern Ireland (GB)
Owning collection
ISSN (of the container)
0898-1221
1873-7668
WOS
000557765800042
eLABa ID
64372318
Project(s)
European Social Fund
Research Council of Lithuania (LMTLT)