【作者】 杜成；

【导师】 王革；

【作者基本信息】 哈尔滨工程大学 ， 热能工程， 2009， 硕士

【摘要】 当激波经过两种不同密度流体的界面时,界面获得一个有限速度,界面上的扰动随时间发展,最终导致两种流体强烈混合的现象称为Richtmyer-Meshkov(R-M)不稳定性。界面不稳定性的研究,因其应用背景和学术价值,在近二十多年受到了极大重视,国内外对此做了大量的研究实验。在界面不稳定性的数值研究中,核心是对运动的物质界面的精确描述。本文用MGFM方法定义虚拟流节点参数,采用二阶TVD-WAF格式结合HLLC求解器求解Euler方程得到流场参数分布,应用五阶WENO的空间离散以及三阶TVD Runge-Kutta的时间离散求解Level set方程捕捉物质界面。应用该方法对激波与物质界面相互作用系列问题进行了数值模拟,并给出了物质界面的演化过程。根据数值模拟结果,主要针对物质界面两边密度比以及物质界面形状对物质界面演化的影响进行比较分析,同时还对扰动增长率进行了具体分析。数值模拟结果表明,该方法在能精确捕捉到物质界面,并且高分辨率的捕获激波、物质界面和各类间断的相互作用。更多还原

【Abstract】 A wide variety of fluid motions can be generated, following the interaction of a shock wave with an interface separating two fluids of different properties. Any perturbation initially present on the interface will, in most cases, be amplified following the refraction of the shock. This class of problems is generally referred to as the Richtmyer-Meshkov(R-M) instability. In the last two decades the R-M instability have attracted the attention of many researchers all over the world for its application background and academic value. The key point in the research of the instability is how to capture exactly the contact interface. In this paper, modified ghost fluid method(MGFM) was used to define node parameter of ghost fluid,and combined second-order TVD-WAF scheme with Riemann solver HLLC was applied to solve Euler equation for the distribution of flow field parameters. To capture the material interface, fifth-order WENO for spatial discretization and third-order TVD Runge-Kutta for time discretization were combine to solve the level set equation. The numerical simulation was accomplished with the methods mentioned above to study the interaction of shock wave with the material interface, the developing process of the material interface induced by shock wave was descrised in detail, for different density ratio and shapes of interface. The growth for amplification of perturbation was analysied with linear theord numerical method. The interaction between shock wave and the material interfac are accurately captured with high resolution.更多还原