超声速和高超声速燃烧的数值研究

为了研究HLLC黎曼求解器在超声速和高超声速燃烧问题中的适用性,对4个典型算例进行了数值模拟。基于多组分方程的完全N-S方程,对时间项和空间项离散分别采用2阶Runge-kutta方法和HLLC格式,考虑了H_2/Air燃烧的详细化学反应机理,用有限速率化学反应模型模拟燃烧现象。对Sod激波管问题和高超声速钝体绕流进行数值模拟,分析了流场内密度、压力和激波位置;对超声速燃烧和高超声速钝体激波诱导燃烧进行数值模拟,分析了流场内组分特性。数值模拟结果与实验结果或相关文献的计算结果吻合良好,表明了HLLC黎曼求解器在模拟复杂化学非平衡流场中能够准确地分析复杂的物理现象且具有较广的应用范围。

Numerical Investigation of Supersonic and Hypersonic Combustion

Four typical examples were numerically simulated to investigate the validity of HLLC Riemann solver in the application of supersonic and hypersonic combustion.Based on the perfect Navier-Stokes equations of multi-component equations,the convection fluxes was calculated by the HLLC scheme,while two-stage Runge-Kutta iterative method was used for time discretization.The detailed chemical reaction of H2/Air was considered,and the finite-rate chemical-reaction model was applied to simulate the combustion.Sod shock-tube problems and hypersonic flow around blunt body were numerically simulated,and the flow-field density,pressure and shock-wave position were analyzed.The supersonic combustion and the combustion induced by hypersonic-blunt-body shock-wave were simulated,and the composition characteristics of flow field was analyzed.The numerical simulation results are in good agreement with the experimental results or the related literature.By the HLLC Riemann solver,the complex physical phenomena can be accurately analyzed,and the solver has wide application range in complex chemical non-equilibrium flow-field.