|
Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties
I. A. Solntsev, S. A. Karabasov Central Aerohydrodynamic Institute after Prof. N.E. Zhukovsky
Abstract:
In this study we develop modification of the high-resolution CABARET scheme for rotating meshes surrounded by an external fixed zone. CABARET is second-order in space
and time conservative/characteristic scheme with compact stencil which has lowdissipative and low-dispersive properties and is non-oscillatory for calculations involving
non-linear flow problems with a wide range of frequencies in computational aeroacoustics. To expand this method for rotor-stator interaction problem, an approximation
of non-inertial terms in rotating zones for conservative steps is added, and appropriate
modification of characteristic step on the sliding interface is developed. An evolutionary
approach, which ensures the preservation of the fluxes of conservative variables through
the contact surface is implemented. The dispersion-improved version of the scheme with
an added anti-dispersion term expressed via a flux derivative is added as well as a modification of the non-linear flux correction algorithm with reduced dissipation. For testing,
the problem of acoustic wave propagation through rotating zones and sliding interfaces is
considered. It is shown that the developed CABARET method for rotating zones retains
the main characteristics of the baseline CABARET algorithm on fixed meshes.
Keywords:
CABARET conservative scheme, non-inertial terms, sliding interface.
Received: 15.02.2022 Revised: 15.02.2022 Accepted: 16.05.2022
Citation:
I. A. Solntsev, S. A. Karabasov, “Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties”, Matem. Mod., 34:7 (2022), 73–92; Math. Models Comput. Simul., 15:1 (2023), 125–137
Linking options:
https://www.mathnet.ru/eng/mm4392 https://www.mathnet.ru/eng/mm/v34/i7/p73
|
Statistics & downloads: |
Abstract page: | 197 | Full-text PDF : | 24 | References: | 50 | First page: | 9 |
|