NDLI: Comparison of additional second-order terms in finite-difference Euler equations and regularized fluid dynamics equations

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Computational Mathematics and Mathematical Physics : Volume 57

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On the theory of singular optimal controls in dynamic systems with control delay

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Time step selection for the numerical solution of boundary value problems for parabolic equations

Time-independent reaction–diffusion equation with a discontinuous reactive term

Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics

Comparison of additional second-order terms in finite-difference Euler equations and regularized fluid dynamics equations

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Sound field suppression in a waveguide equipped with a transverse packet resonator

Upper bound for the length of functions over a finite field in the class of pseudopolynomials

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Comparison of additional second-order terms in finite-difference Euler equations and regularized fluid dynamics equations

Content Provider	Springer Nature Link
Author	Ovsyannikov, V. M.
Copyright Year	2017
Abstract	In recent years, an area of research in computational mathematics has emerged that is associated with the numerical solution of fluid flow problems based on regularized fluid dynamics equations involving additional terms with velocity, pressure, and body force. The inclusion of these functions in the additional terms has been physically substantiated only for pressure and body force. In this paper, the continuity equation obtained geometrically by Euler is shown to involve second-order terms in time that contain Jacobians of the velocity field and are consistent with some of the additional terms in the regularized fluid dynamics equations. The same Jacobians are contained in the inhomogeneous right-hand side of the wave equation and generate waves of pressure, density, and sound. Physical interpretations of the additional terms used in the regularized fluid dynamics equations are given.
Starting Page	876
Ending Page	880
Page Count	5
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	57
Issue Number	5
e-ISSN	15556662
Language	English
Publisher	Pleiades Publishing
Publisher Date	2017-06-11
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	regularized fluid dynamics equations Euler’s finite-difference continuity equation Jacobians wave equation Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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