非平衡反应流的二阶无条件保正格式
Second Order Unconditional Positive Preserving Schemes for Non-equilibrium Reactive Flows with Mass and Mole Balance
摘要：
在这项研究中，一个家庭的二阶过程为基础的修改Patankar Runge-Kutta格式提出的质量和摩尔保持平衡，同时保持积极的密度和压力与对流项确定的时间步长。进行了精度分析，推导出龙格库塔和帕坦卡系数的充分必要条件。与有限体积法耦合，将所提出的格式推广到含非平衡反应源项的Euler方程。基准测试给出了证明的精度和验证的密度和压力的正保持属性的先验顺序。
英文摘要：
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.
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