Pregled bibliografske jedinice broj: 1126753
Full space‐time adaptive method based on collocation strategy and implicit multirate time stepping
Full space‐time adaptive method based on collocation strategy and implicit multirate time stepping // International journal for numerical methods in fluids, 93 (2021), 5; 1606-1626 doi:10.1002/fld.4944 (međunarodna recenzija, članak, znanstveni)
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Naslov
Full space‐time adaptive method based on collocation strategy and
implicit multirate time stepping
Autori
Malenica, Luka ; Gotovac, Hrvoje
Izvornik
International journal for numerical methods in fluids (0271-2091) 93
(2021), 5;
1606-1626
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
advection-diffusion ; advection dominated problems ; collocation approach ; multiresolution analysis
Sažetak
In this paper, we present a full space‐time Adaptive Fup Collocation Method (AFCM) for solving initial‐boundary value problems with particular application on advection‐dominated advection‐diffusion problems. The spatial adaptive strategy dynamically changes the computational grid at each global time step, while the adaptive time‐ marching algorithm uses different local time steps for different collocation points based on temporal accuracy criteria. Contrary to the existing space‐time adaptive methods that are based on explicit temporal discretization and scale‐dependent local time stepping, the presented method is implicit and resolves all spatial and temporal scales independently of each other. This means that smaller local time steps are used only for spatial zones where temporal solution changes are intensive, which are not necessarily the zones with finest spatial discretization. In this manner, the computationally efficient full space‐time adaptive strategy accurately resolves small‐scale features and controls numerical error and spurious oscillations. The efficiency and accuracy of AFCM are verified with some classical one‐ and two‐dimensional benchmark test cases.
Izvorni jezik
Engleski
Znanstvena područja
Građevinarstvo, Interdisciplinarne tehničke znanosti
POVEZANOST RADA
Projekti:
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Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus