A data-constrained sharp Immersed Boundary Method for aerospace applications

A numerical tool relying on sharp Immersed Boundary Method (IBM) is developed for the analysis of aerospace applications. The method, which is conceived for application using segregated solvers relying on implicit time discretization, uses a Luenberger observer to dynamically update the free coefficients governing the numerical algorithm. This technique improves the accuracy of the method and permits to target the representation of complex flow features at the wall, taking into account the velocity field and heat transfer. The method is used to investigate several test cases of increasing complexity, including a space vehicle during atmospheric reentry. The tool exhibits interesting efficacy in terms of accuracy versus computational costs required.