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A FULLY CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THREE-DIMENSIONAL NAVIER–STOKES EQUATIONS IN CYLINDRICAL COORDINATES
- Authors: Gusev A.O1, Mazhorova O.S1
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Affiliations:
- Keldysh Institute of Applied Mathematics of RAS
- Issue: Vol 61, No 7 (2025)
- Pages: 919–940
- Section: NUMERICAL METHODS
- URL: https://journal-vniispk.ru/0374-0641/article/view/306916
- DOI: https://doi.org/10.31857/S0374064125070057
- EDN: https://elibrary.ru/FQXGIE
- ID: 306916
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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.
About the authors
A. O Gusev
Keldysh Institute of Applied Mathematics of RAS
Email: aogus@mail.ru
Moscow, Russia
O. S Mazhorova
Keldysh Institute of Applied Mathematics of RAS
Email: olgamazhor@mail.ru
Moscow, Russia
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