A1 - Temirbekov Almas N.
A1 - Urmashev Baydaulet A.
A1 - Gromaszek, Konrad
PB - Polish Academy of Sciences Committee of Electronics and Telecommunications
N2 - 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.
KW - atmospheric boundary layer equations
KW - difference scheme
KW - approximation error
KW - stability
KW - convergence algorithm
KW - numerical solution
T1 - Investigation of the Stability and Convergence of Difference Schemes for the Three-dimensional Equations of the Atmospheric Boundary Layer