Investigation of the stability and convergence of difference schemes for the three-dimensional equations of the atmospheric boundary layer
Artykuł w czasopiśmie
MNiSW
15
Scopus, WOS
| Status: | |
| Autorzy: | Temirbekov Almas N., Urmashev Baydaulet A., Gromaszek Konrad |
| Dyscypliny: | |
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| Rok wydania: | 2018 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 3 |
| Wolumen/Tom: | 64 |
| Strony: | 391 - 396 |
| Web of Science® Times Cited: | 4 |
| Scopus® Cytowania: | 8 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | TAK |
| Licencja: | |
| Sposób udostępnienia: | Otwarte czasopismo |
| Wersja tekstu: | Ostateczna wersja opublikowana |
| Czas opublikowania: | W momencie opublikowania |
| Data opublikowania w OA: | 23 sierpnia 2018 |
| Abstrakty: | angielski |
| In this article we construct a finite-difference scheme for the three-dimensional equations of the atmospheric boundary layer. The solvability of the mathematical model is proved and quality properties of the solutions are studied. A priori estimates are derived for the solution of the differential equations. The mathematical questions of the difference schemes for the equations of the atmospheric boundary layer are studied. Nonlinear terms are approximated such that the integral term of the identity vanishes when it is scalar multiplied. This property of the difference scheme is formulated as a lemma. Main a priori estimates for the solution of the difference problem are derived. Approximation properties are investigated and the theorem of convergence of the difference solution to the solution of the differential problem is proved. |
