CAJ | 학술논문

对基于质量分数的Mie?Gruneisen状态方程多流体组份模型提出了新的数值方法。该模型保持混合流体的质量、动量、和能量守恒，保持各组份分质量守恒，在多流体组份界面处保持压力和速度一致。该模型是拟守恒型方程系统。对该模型系统的离散采用波传播算法。与直接对模型中所有守恒方程采用相同算法不同的是，在处理分介质质量守恒方程时，对波传播算法进行了修正，使之满足质量分数保极值原理。而不作修改的算法则不能保证质量分数在[0，1]范围。数值实验验证了该方法有效。
대기우질량분수적Mie?Gruneisen상태방정다류체조빈모형제출료신적수치방법。해모형보지혼합류체적질량、동량、화능량수항，보지각조빈분질량수항，재다류체조빈계면처보지압력화속도일치。해모형시의수항형방정계통。대해모형계통적리산채용파전파산법。여직접대모형중소유수항방정채용상동산법불동적시，재처리분개질질량수항방정시，대파전파산법진행료수정，사지만족질량분수보겁치원리。이불작수개적산법칙불능보증질량분수재[0，1]범위。수치실험험증료해방법유효。
We propose a new method for compressible multi?component flows with Mie?Gruneisen equation of state based on mass fraction. The model preserves conservation law of mass, momentum and total energy for mixture flows. It also preserves conservation of mass of all single components. Moreover, it prevents pressure and velocity from jumping across interface that separate regions of different fluid components. Wave propagation method is used to discretize this quasi?conservation system. Modification of numerical method is adopted for conservative equation of mass fraction. This preserves the maximum principle of mass fraction. The wave propagation method which is not modified for conservation equations of flow components mass, cannot preserve the mass fraction in the interval [0,1]. Numerical results confirm validity of the method.