- PII
- 10.31857/S2686954322600677-1
- DOI
- 10.31857/S2686954322600677
- Publication type
- Status
- Published
- Authors
- Volume/ Edition
- Volume 509 / Issue number 1
- Pages
- 17-22
- Abstract
- For the first time, bicompact schemes are generalized to non-stationary Navier–Stokes equations for a compressible heat-conducting fluid. The proposed schemes have an approximation of the fourth order in space and the second order in time, are absolutely stable (in the frozen-coefficients sense), conservative, and efficient. One of the new schemes is tested on several two-dimensional problems. It is shown that when the mesh is refined, the scheme converges with an increased third order. A comparison is made with the WENO5-MR scheme. The superiority of the chosen bicompact scheme in resolving vortices and shock waves, as well as their interaction, is demonstrated.
- Keywords
- вязкая жидкость уравнения Навье–Стокса высокоточные схемы компактные схемы бикомпактные схемы
- Date of publication
- 17.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 13
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