Deviation analysis of loosely coupled quasi-static method for fluid-thermal interaction in hypersonic flows

Fluid-thermal interaction plays an important role in the design and development of hypersonic vehicles. Among the different ways to couple the flow field with the material thermal response, the loosely coupled quasi-static method is widely used. In this paper, deviation formulas based on one-dimensional model are derived for uncoupled method and loosely coupled quasi-static method to estimate the structural temperature deviations at the stagnation point in different forward time steps. To verify the formulas, fluid-thermal coupling numerical simulations are conducted for 2-D and 3-D hypersonic fluid-thermal interaction problems. The results show that the temperature deviation formulas agree quite well with the deviations from numerical simulation. The derived deviation formulas can serve as some guidance for selecting an appropriate forward time step for the loosely coupled quasi-static method.