An approach to time integration of the Navier-Stokes equations. (English. Russian original) Zbl 1456.76086
Comput. Math. Math. Phys. 60, No. 2, 272-285 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 2, 267-280 (2020).
Summary: 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.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76N06 | Compressible Navier-Stokes equations |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
Keywords:
physical process-based splitting; Chebyshev explicit iterative scheme; heat-conduction gas; differerence conservation lawReferences:
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