论文标题
非线性耦合构型关系模型的多个溶液及其在非平衡流量计算中的整流
Multiple solutions of nonlinear coupled constitutive relation model and its rectification in non-equilibrium flow computation
论文作者
论文摘要
在这项研究中，首先观察到非线性耦合组成关系（NCCR）模型的多个溶液，并提出了一种识别物理溶液的方法。 Myong提出的NCCR模型是由欧盟的普遍流体动力方程构建的，旨在描述稀有流。 NCCR模型是复杂的非线性系统。在方案中已使用许多假设来求解NCCR方程。相应的数值方法可能与非物理解决方案和不稳定性有关。同时，由于数值离散化的不确定性，很难分析NCCR模型的身体准确性和稳定性。在这项研究中，提出了一种解决NCCR方程的新数值方法，并用于分析NCCR方程的性质。更具体地说，非线性方程将转换为单个变量的目标函数的解决方案。在此公式下，确定了NCCR系统的多个解决方案，并提出了拾取物理溶液的标准。因此，构建了用于求解NCCR方程的数值方案。在近连续体和低过渡方案中，有一系列的流量问题进行了较大的MACH数字，以验证提出方法的数值性能和NCCR模型的物理准确性。
In this study, the multiple solutions of Nonlinear Coupled Constitutive Relation (NCCR) model are firstly observed and a way for identifying the physical solution is proposed. The NCCR model proposed by Myong is constructed from the generalized hydrodynamic equations of Eu, and aims to describe rarefied flows. The NCCR model is a complicated nonlinear system. Many assumptions have been used in the schemes for solving the NCCR equations. The corresponding numerical methods may be associated with unphysical solution and instability. At the same time, it is hard to analyze the physical accuracy and stability of NCCR model due to the uncertainties in the numerical discretization. In this study, a new numerical method for solving NCCR equations is proposed and used to analyze the properties of NCCR equations. More specifically, the nonlinear equations are converted into the solutions of an objective function of a single variable. Under this formulation, the multiple solutions of the NCCR system are identified and the criteria for picking up the physical solution are proposed. Therefore, a numerical scheme for solving NCCR equations is constructed. A series of flow problems in the near continuum and low transition regimes with a large variation of Mach numbers are conducted to validate the numerical performance of proposed method and the physical accuracy of NCCR model.
