An explicit-iterative scheme for the time integration of the Navier–Stokes equations
V. T. Zhukov, O. B. Feodoritova, N. D. Novikova, A. P. Duben
Keldysh Institute of Applied Mathematics of RAS
A new integration algorithm is proposed for the time-dependent Navier–Stokes equations
of compressible flows. We propose operator splitting method to split the equations into
convection and diffusion parts which are solved successively at each time step. The convection part is solved by the Godunov method, the diffusion part is solved by the explicit-iteration Chebyshev scheme which has no stability restriction on the time-step size.
The resulting scheme ensures the fulfillment of the main conservation laws on arbitrary
unstructured grids. The explicit nature of the calculations ensures the efficiency of the
use of the scheme in various parallel technologies.
numerical simulation, Navier–Stokes equations, splitting method, Chebyshev explicit-iterative scheme.
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V. T. Zhukov, O. B. Feodoritova, N. D. Novikova, A. P. Duben, “An explicit-iterative scheme for the time integration of the Navier–Stokes equations”, Matem. Mod., 32:4 (2020), 57–74
Citation in format AMSBIB
\by V.~T.~Zhukov, O.~B.~Feodoritova, N.~D.~Novikova, A.~P.~Duben
\paper An explicit-iterative scheme for the time integration of the Navier--Stokes equations
\jour Matem. Mod.
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