计算力学学报2012，Vol.29Issue(1)：118-123,6.
单模态Richtmyer-Meshkov不稳定性数值模拟
Numerical simulations of the single-mode Richtmyer-Meshkov instability
摘要
Abstract
Adopting the VOF （volume of fluid） methodology and PPM （piecewise parabolic method）,a high precision numerical algorithm MVPPM （multi-viscous-fluid piecewise parabolic method） is pro- posed and applied to the compressible multi-viscous-fluid dynamics problems. Several two and three di- mensional single-mode Richtmyer-Meshkov instability models with different amplitude are numerically simulated by MVPPM. Comparisons between numerical and theoretical results show that both two di- mensional and three dimensional calculated amplitudes and growth rates of perturbed interface are con- sistent with the predictions of theory models, when the initial amplitude is relatively small to the initial wavelength. When the wavelength of initial perturbation preserves constant and the initial amplitude in- creases gradually, the calculated amplitude and growth rate of perturbed interface also increase. The three dimensional numerical results are identical with the two dimensional ones at the linear stage and larger than the two dimensional ones at the nonlinear stage for the perturbation with the same wavelength and amplitude, so the effects of nonlinearity and three dimensions play important role in the developing of RM instability.关键词
VOF方法/PPM方法/MVPPM方法/Richtmyer-Meshkov不稳定性Key words
VOF/PPM/MVPPM/Richtmyer-Meshkov instability分类
数理科学引用本文复制引用
王涛,柏劲松,李平..单模态Richtmyer-Meshkov不稳定性数值模拟[J].计算力学学报,2012,29(1):118-123,6.基金项目
国家自然科学基金（11072228,11002129）资助项目. （）
