We investigate a model of solid propellant combustion involving surface pyrolysis coupled to finite activation energy gas-phase combustion. Existence and uniqueness of a travelling wave solution are established by extending dynamical system tools classically used for premixed flames, dealing with the additional difficulty arising from the surface regression and pyrolysis. An efficient shooting method allows to solve the problem in phase space without resorting to space discretisation nor fixed-point Newton iterations. The results are compared to solutions from a CFD code developed at ONERA, assessing the efficiency and potential of the method, and the impact of the modelling assumptions is evaluated through parametric studies.

中文翻译：

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固体推进剂燃烧一维模型行波数学分析及有效数值解析

我们研究了一种固体推进剂燃烧模型，该模型涉及与有限活化能气相燃烧耦合的表面热解。行波解的存在性和唯一性是通过扩展经典用于预混火焰的动力学系统工具来建立的，处理由表面回归和热解引起的额外困难。一种有效的射击方法允许在不诉诸空间离散化或定点牛顿迭代的情况下解决相空间中的问题。将结果与 ONERA 开发的 CFD 代码的解决方案进行比较，评估该方法的效率和潜力，并通过参数研究评估建模假设的影响。