Efficient Time-Marching of Fluid-Thermal-Structural Interactions

This study focuses on the development of a subiteration free, loosely coupled partitioned time marching procedure for fluid-thermal-structural analysis using time-accurate thermal and structural solvers combined with surrogate fluid models. The scheme is specifically formulated to maintain global second-order temporal accuracy using implicit solvers. This is achieved by using second-order solvers for the thermal and structural domains combined with second-order accurate extrapolations to estimate the quasi-static heat flux and quasi-steady pressure. Furthermore, the scheme is designed to exploit disparities in time scales between the submodels through the use of structural subcycling, in which multiple structural time steps are taken between each thermal step. Here, second order global accuracy is maintained using a second-order accurate interpolation of temperature. The scheme is evaluated on a simple panel in hypersonic flow, and is found to yield second order accuracy both with and without subcycling of the structural solver. A comparable conventional scheme is found to yield only first order accuracy, to produce spurious structural oscillations for certain time step sizes, and to require significantly smaller time steps for comparable time accuracy. In regards to the latter, the time marching scheme developed in this work is found to reduce the computational expense over the conventional scheme by more than 80 percent.

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