Investigation of the Stability and Convergence of Difference Schemes for the Three-dimensional Equations of the Atmospheric Boundary Layer

• Autorzy: Temirbekov A. N. , Urmashev B. A. , Gromaszek K.

Identyfikatory

DOI

10.24425/123538

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

atmospheric boundary layer equations; difference scheme; approximation error; stability; convergence algorithms; numerical solution

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: International Journal of Electronics and Telecommunications
• Rocznik: 2018
• Tom: Vol. 64, No. 3
• Strony: 391--396
• Opis fizyczny: Bibliogr. 22 poz., wykr.

Twórcy

autor

Temirbekov A. N.

• al-Farabi Kazakh National University, Almaty, Kazakhstan

autor

Urmashev B. A.

• al-Farabi Kazakh National University, Almaty, Kazakhstan

autor

Gromaszek K.

• Lublin University of Technology, Lublin, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).