Tytuł artykułuInvestigation of the Stability and Convergence of Difference Schemes for the Three-dimensional Equations of the Atmospheric Boundary Layer
Tytuł czasopismaInternational Journal of Electronics and Telecommunications
Słowa kluczoweatmospheric boundary layer equations ; difference scheme ; approximation error ; stability ; convergence algorithm ; numerical solution
Wydział PANNauki Techniczne
AbstraktIn 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.
WydawcaPolish Academy of Sciences Committee of Electronics and Telecommunications
TypArtykuły / Articles
IdentyfikatorISSN 2081-8491 (until 2012) ; eISSN 2300-1933 (since 2013)