连续流区非线性本构模型及求解算法研究与实验验证  

Numerical investigation and experimental validation of nonlinear constitutive models with solving algorithms in continuum flows

作　　者：曾舒华 赵文文[1] 江中正 陈伟芳[1] ZENG Shuhua;ZHAO Wenwen;JIANG Zhongzheng;CHEN Weifang(School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]浙江大学航空航天学院,杭州310027

出　　处：《航空动力学报》2024年第3期115-126,共12页Journal of Aerospace Power

基　　金：国家自然科学基金(12002306,U20B2007);国家数值风洞项目(NNW2019ZT3-A08)。

摘　　要：结合数值模拟和风洞试验技术,在高超声速连续流条件下对非线性耦合本构关系(NCCR)模型和由量纲分析推导得到的简化广义动力学(SGH)模型开展研究。基于小型高超声速风洞试验系统,在不同来流条件下对类HB2(hypervelocity ballistic model 2)标模和钝锥模型的气动力和物面压力进行了风洞试验测量。同时在三维有限体积框架下,分别采用分裂算法和耦合算法的NCCR模型、SGH模型对试验工况下的标模开展数值计算。结果表明:NCCR模型和SGH模型得到的气动力系数和物面压力均与Navier-Stokes(NS)方程解一致,并与风洞试验数据吻合较好;采用分裂算法的NCCR模型在类HB2头部膨胀拐角处预测的摩阻/热流系数明显低于NS方程解,而采用耦合算法的NCCR模型解与NS方程基本一致。计算结果和实验数据对比表明,NCCR模型和SGH模型在高超声速连续流中的准确性得到充分验证,此外,NCCR模型的分裂算法在三维高速流动中的适用性需进一步完善。Combined with numerical simulation and wind tunnel test technology,the nonlinear coupled constitutive relations(NCCR)model and the simplified generalized hydrodynamic(SGH)model derived by dimensional analysis in hypersonic continuum flows were studied.Based on the hypersonic wind tunnel test system,the aerodynamic force and surface pressure of the type hypervelocity Ballistic 2(HB2)standard model and the blunt cone were measured under different flow conditions.Meanwhile,under the three-dimensional finite volume framework,the NCCR model with decomposed and undecomposed algorithm and SGH model were used for numerical investigation of the flight models under the test conditions.Result showed that,the aerodynamic force and surface pressure obtained by NCCR model and SGH model were consistent with the solutions of Navier-Stokes(NS)equations as well as the data measured in the wind tunnel.However,the friction/heat flux coefficients predicted by NCCR model with decomposed algorithm at the expansion corner of head of type HB2 were lower than those of NS equations,while the NCCR model with undecomposed algorithm was consistent with NS solver.The computational results and experimental data showed that the accuracy of NCCR model and SGH model in hypersonic continuous flow was validated,and the applicability of decomposed algorithm of NCCR model in three-dimensional high-speed flows shall be further improved.

关 键 词：高超声速流动 风洞试验 非线性耦合本构关系 耦合算法 分裂算法 量纲分析 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]