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Dostęp zamkniętyMPDATA: Third-order accuracy for variable flows
| dc.abstract.en | This paper extends the multidimensional positive definite advection transport algorithm (MPDATA) to third-order accuracy for temporally and spatially varying flows. This is accomplished by identifying the leading truncation error of the standard second-order MPDATA, performing the Cauchy–Kowalevski procedure to express it in a spatial form and compensating its discrete representation—much in the same way as the standard MPDATA corrects the first-order accurate upwind scheme. The procedure of deriving the spatial form of the truncation error was automated using a computer algebra system. This enables various options in MPDATA to be included straightforwardly in the third-order scheme, thereby minimising the implementation effort in existing code bases. Following the spirit of MPDATA, the error is compensated using the upwind scheme resulting in a sign-preserving algorithm, and the entire scheme can be formulated using only two upwind passes. Established MPDATA enhancements, such as formulation in generalised curvilinear coordinates, the nonoscillatory option or the infinite-gauge variant, carry over to the fully third-order accurate scheme. A manufactured 3D analytic solution is used to verify the theoretical development and its numerical implementation, whereas global tracer-transport benchmarks demonstrate benefits for chemistry-transport models fundamental to air quality monitoring, forecasting and control. A series of explicitly-inviscid implicit large-eddy simulations of a convective boundary layer and explicitly-viscid simulations of a double shear layer illustrate advantages of the fully third-order-accurate MPDATA for fluid dynamics applications. |
| dc.affiliation | Uniwersytet Warszawski |
| dc.contributor.author | Pawłowska, Hanna |
| dc.contributor.author | Waruszewski, Maciej |
| dc.date.accessioned | 2024-01-25T13:05:43Z |
| dc.date.available | 2024-01-25T13:05:43Z |
| dc.date.issued | 2018 |
| dc.description.finance | Nie dotyczy |
| dc.description.volume | 359 |
| dc.identifier.doi | 10.1016/J.JCP.2018.01.005 |
| dc.identifier.issn | 0021-9991 |
| dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/113029 |
| dc.identifier.weblink | https://www.sciencedirect.com/science/article/pii/S0021999118300159 |
| dc.language | eng |
| dc.pbn.affiliation | earth and related environmental sciences |
| dc.relation.ispartof | Journal of Computational Physics |
| dc.relation.pages | 361-379 |
| dc.rights | ClosedAccess |
| dc.sciencecloud | nosend |
| dc.subject.en | Multidimensional advection |
| dc.subject.en | High-order schemes |
| dc.subject.en | Nonoscillatory schemes |
| dc.subject.en | Modified equation |
| dc.subject.en | Tracer transport |
| dc.title | MPDATA: Third-order accuracy for variable flows |
| dc.type | JournalArticle |
| dspace.entity.type | Publication |