OPTIMIZED DUAL-TIME STEPPING TECHNIQUE FOR TIME-ACCURATE NAVIER-STOKES CALCULATIONS

作者: Mikhail Nyukhtikov , Natalia V. Smelova , Brian E. Mitchell , D. Graham Holmes

DOI: 10.1007/1-4020-4605-7_33

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摘要: This paper presents an optimized discretization of the time derivative term for dual-time stepping method. The proposed is second order accurate and has a lower level dissipation dispersion errors than conventional non-optimized discretization. Sample calculations demonstrate that scheme requires approximately 45-50% less steps per unsteady cycle compared to standard resolve flow within certain margin amplitude error. number can be reduced by 10-15% keep phase error when used. Since time-accurate are expensive, approach leads significant savings computational resources.

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