Numerical modelling of unsteady high-speed compressible flows

非定常高速可压缩流的数值模拟

• 批准号: 298232-2009
• 负责人: Timofeev, Evgeny(Eugene)
• 金额: $ 2.62万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=525930
• 关键词: Numerical; modelling; unsteady; speed; compressible

The research program is concerned with essentially unsteady high-speed multi-dimensional compressible flows, which are much less explored in compressible fluid dynamics than steady phenomena and, likewise, accurate and efficient numerical methods and codes for them are few in number. New numerical methods and computer codes specifically tailored for unsteady, multi-scale, multi-fluid flows with spatially-localized features (shock waves, contact surfaces, boundary layers, vortices etc.) will be developed on the basis of the previous work by the principal investigator on locally adaptive unstructured finite-volume Euler (inviscid) solvers for non-reacting gas mixtures. Three major generalizations are to be undertaken: (1) For unsteady viscous flows at high Reynolds numbers in which viscosity effects are confined to shock fronts, boundary layers and separation zones, contact surfaces; (2) For mixtures of fluids with various equations of state (Tait, JWL etc.) (3) For nonlinear acoustics problems in heterogenous media. The research program will encompass the following application areas: (I) Basic studies of shock wave reflections, in particular on the influence of viscosity and heat conductivity on shock wave reflections; (II) Starting of air inlets of hypersonic air-breathing engines (scramjets), including recenlty proposed innovative techniques (diapgragm rupture, accelerative starting); (III) Flow dynamics in gas/explosive systems. (a) Channel effect problem (when an explosive layer is detonated inside a planar or axisymmetrical channel) which has many applications in mining, aerospace, high-pressure physics and other fields; (b) Different concepts of hypervelocity launchers in which the enormous energy densities of high explosives is used to accelerate projectiles to hypervelocities, which can be applied to high-speed impact tests (e.g. when testing satellite bumper shields); (IV) Non-linear waves in heterogenous media. In this area the developed computational method will be used for simulations of wave phase conjugation in acoustics with practical applications in echography of biological tissues, non-destructive testing, magneto-acoustics etc.

该研究项目涉及本质上非定常的高速多维可压缩流动，与定常现象相比，可压缩流体动力学中对可压缩流体动力学的研究要少得多，同样，针对它们的准确和高效的数值方法和代码也很少。专门为具有空间局部化特征(激波、接触面、边界层、涡流等)的非定常、多尺度、多流体流动量身定做的新的数值方法和计算机代码。将在首席研究员关于用于非反应气体混合物的局部自适应非结构有限体积欧拉(INISCID)解算器的先前工作的基础上开发。(1)对于高雷诺数的非定常粘性流动，其中粘性效应仅限于激波前锋、边界层和分离区、接触面；(2)对于具有各种状态方程(Tait、JWL等)的流体混合物；(3)对于非均匀介质中的非线性声学问题。该研究计划将包括以下应用领域：(I)冲击波反射的基础研究，特别是关于粘度和导热系数对冲击波反射的影响的基础研究；(Ii)高超声速吸气式发动机(超燃冲压发动机)进气口的启动，包括最近提出的创新技术(爆裂、加速启动)；(Iii)气体/爆炸系统中的流动动力学。(A)通道效应问题(当爆炸层在平面或轴对称通道内被引爆时)，它在采矿、航空航天、高压物理和其他领域有许多应用；(B)超高速发射器的不同概念，其中利用高能炸药的巨大能量密度将炮弹加速到超高速，这可用于高速撞击试验(例如，当测试卫星保险杠时)；(Iv)非均匀介质中的非线性波。在这一领域，所开发的计算方法将用于模拟声学中的波位相共轭，并在生物组织超声成像、无损检测、磁声学等方面有实际应用。