Numerical integration of the improper integrals that are found in mathematical models of aerodynamics

Mathematics


Аuthors

Smirnov V. U.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

Abstract

Improper integrals by Hadamard that are found in mathematical models of aerodynamics and other problems of mathematical physics are studied. The integral arising at an evaluation of a velocity from a discrete rotational segment in a control point, arranged inside of a rotational stream is considered. Other integrals that are found in problems of numerical modeling of an aerodynamic interference are considered also. Expressions for integrals by Hadamard that doesn't contain derivatives under an integral convenient for a numerical integration are obtained. Procedure of a numerical integration of improper integrals is obtained also and recommendations on its application in mathematical models are given.


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