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对热解型碳化复合材料三维烧蚀内部热响应数值计算关键技术进行了研究。采用碳化层—热解面—原始材料层模型,将热解气体与碳化层之间的对流换热处理为源项,通过有限元法建立移动边界条件下温度场求解方程组,采用Gauss-Seidel迭代法计算热解气体质量流量和温度场。同时,研究和分析了三维烧蚀移动边界处理方法以及动网格生成方法。由于每个时间步都需要网格重划,烧蚀热防护数值计算对存储效率和计算效率要求较高,本文研究了内部热响应计算中影响存储效率和计算效率的主要因素,并提出了相应的压缩存储方案和求解方案。计算结果表明,移动边界处理方法准确合理;存储方案的存储效率较高;保持刚度矩阵和形函数矩阵正定对称性可以加快温度场计算的收敛速度。
The key technologies of the numerical calculation of the internal thermal response of the pyrolytic carbonized composite were investigated. The convection heat transfer between the pyrolytic gas and the carbide layer is treated as the source item by using the carbide layer-pyrolytic surface-raw material layer model. The temperature field is solved by the finite element method under the moving boundary conditions. Gauss-Seidel Iteration method to calculate pyrolysis gas mass flow and temperature field. At the same time, three-dimensional ablation moving boundary treatment method and moving grid generation method are studied and analyzed. Due to the need of grid redrawing for each time step, the numerical calculation of heat preservation for heat preservation requires high storage efficiency and computational efficiency. In this paper, the main factors affecting the storage efficiency and computational efficiency of internal thermal response are studied, Compression and storage solutions and solutions. The calculation results show that the moving boundary processing method is accurate and reasonable, the storage scheme has high storage efficiency, and maintaining the stiffness matrix and the positive definite symmetry of the shape function matrix can speed up the convergence of the temperature field calculation.