Application of Higher-Order Difference Schemes in Coupled Heat Transfer Simulation of Hypersonic Flow

In order to improve the prediction accuracy of the aerodynamic heat of hypersonic vehicles and the temperature field of high-temperature components of aircraft engines, a higher-order differential schemes are investigated by applying a higher-order hypersonic coupled heat transfer solver. Firstly, the unsteady hypersonic flow around a cylinder was used as an example to verify the accuracy and reliability of the solver. Results showed that the temperature at the stagnation point of the cylinder at 2 s is 384.46 K, with a 1.12% deviation. The simulation results were in good agreement with the tested data, which verifies the accuracy and reliability of the solver. Secondly, by analyzing the change of the flowfield and the heat transfer process of the solid, the calculation scheme was formulated, and the appropriate time step and inner iterations of the flowfield were selected. Finally, the higher-order finite difference schemes were applied to the hypersonic heat transfer module. Compared with the tested results, the deviation of the higher-order schemes is 0.88% (fourth order) and 0.79% (sixth order), improving the calculation accuracy of the solver. Moreover, under the same calculation accuracy, the higher-order schemes can significantly reduce the size of the calculation grid. The higher-order solver used is more efficient for thermal prediction and has practical value in simulating unsteady engineering problems.