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A Robust Numerical Method for the Simulation of Chemically Reacting Flows

机译:化学反应流模拟的鲁棒数值方法

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A novel, robust numerical framework for the simulation of chemicallyreacting ows is developed. The highly stiff reacting Navier-Stokes equa-tions are integrated in time using the unconditionally positive-convergent(UPC) implicit method. The scheme is successfully extended in thiswork for use with chemical kinetics models, and several modicationsaimed at improving its efficiency are proposed.The proposed scheme is robust thanks to being nearly free of arti-cial stabilization techniques that are commonly used to avoid numericaldifficulties associated with nite rate chemistry models. In addition,the iterative method is highly efficient thanks to the decoupled implicitsolution of the mean-ow (Navier-Stokes) and chemical kinetics modelequations, especially when large reaction mechanisms are employed.Results obtained from simulation of challenging test cases involv-ing laminar combustion are presented. The obtained numerical resultsagree favorably with experimental measurements, and monotonic iter-ative convergence is demonstrated for CFL numbers of the chemistrymodel equations of up to 100.
机译:一个新颖的,健壮的数值框架,用于化学模拟 反应 欠发达。高度僵硬的Navier-Stokes等式 使用无条件正收敛及时地整合位置 (UPC)隐式方法。该方案在此成功扩展 可用于化学动力学模型和几种药物 提出了旨在提高其效率的方法。 由于几乎没有人为因素,因此所提出的方案非常健壮 通常用于避免数值波动的社会稳定技术 与黑夜速率化学模型相关的困难。此外, 由于隐式解耦,所以迭代方法非常高效 均值的解 ow(Navier-Stokes)和化学动力学模型 方程,特别是当采用大反应机理时。 通过模拟具有挑战性的测试用例获得的结果- 介绍了层流燃烧。获得的数值结果 与实验测量和单调迭代完全吻合 证明了化学的CFL数具有较好的收敛性 最多100个模型方程式。

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