论文标题
二阶无条件阳性保留方案，用于与质量和摩尔平衡的非平衡反应性流动
Second Order Unconditional Positive Preserving Schemes for Non-equilibrium Reactive Flows with Mass and Mole Balance
论文作者
论文摘要
在这项研究中，提出了一个基于二阶过程的基于二阶过程的家族，提出了一个基于平衡的质量和摩尔的质量和摩尔，同时通过对流项确定了质量和压力。进行准确性分析以得出runge-kutta和patankar系数的足够和必要条件。与有限体积方法结合使用，提出的方案扩展到具有非平衡反应源项的Euler方程。进行基准测试以证明准确性的先前顺序，并验证密度和压力的阳性赋予性能。
In this study, a family of second order process based modified Patankar Runge-Kutta schemes is proposed with both the mass and mole maintained in balance while preserving the positivity of density and pressure with the time step determined by convection terms. The accuracy analysis is conducted to derive the sufficient and necessary conditions for the Runge-Kutta and Patankar coefficients. Coupling with the finite volume method, the proposed schemes are extended to Euler equations with non-equilibrium reacting source terms. Benchmark tests are given to prove the prior order of accuracy and validate the positive-preserving property for both density and pressure.
