RAS MathematicsДифференциальные уравнения Differential Equations

  • ISSN (Print) 0374-0641
  • ISSN (Online) 3034-5030

A FULLY CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THREE-DIMENSIONAL NAVIER–STOKES EQUATIONS IN CYLINDRICAL COORDINATES

PII
S30345030S0374064125070057-1
DOI
10.7868/S3034503025070057
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 61 / Issue number 7
Pages
919-940
Abstract
The fully conservative finite volume discretization of the incompressible Navier–Stokes equations in cylindrical coordinates is constructed on a staggered grid. The proposed discretization ensures momentum conservation in a computational domain, and mass conservation within the control volumes for pressure, and velocity components. The energy conservation equation directly follows from the discrete momentum equation. Both conservative and non-conservative forms of convective terms are approximated. The proposed discrete counterpart of the vector Laplace operator is self-adjoint and negative definite.
Keywords
вязкая несжимаемая жидкость уравнение Навье–Стокса цилиндрическая система координат консервативная разностная схема метод конечных объёмов
Date of publication
07.12.2025
Year of publication
2025
Number of purchasers
0
Views
25

References

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