Abstract
An approach to the time integration of the Navier–Stokes equations for a compressible heat-conducting gas is developed. According to this approach, the solution algorithm is split into a convective and a diffusion stage. The convective stage represents an explicit Godunov-type scheme. The diffusion stage is addressed using the Chebyshev explicit iterative scheme. The resulting scheme ensures the fulfillment of the fundamental conservation laws at the difference level, and its algorithmic structure is well suited for parallelization.
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ACKNOWLEDGMENTS
The authors are grateful to A.V. Gorobets and P.V. Bakhvalov for their help with this work and for valuable comments.
Funding
This work was supported by the Russian Science Foundation (project no. 17-71-30014).
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Zhukov, V.T., Novikova, N.D. & Feodoritova, O.B. An Approach to Time Integration of the Navier–Stokes Equations. Comput. Math. and Math. Phys. 60, 272–285 (2020). https://doi.org/10.1134/S0965542520020128
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DOI: https://doi.org/10.1134/S0965542520020128