A combined Proper Orthogonal Decomposition (POD) + In Situ Adaptive
Tabulation (ISAT) is proposed for the representation of parameter-dependent solutions
of coupled partial differential equations (PDE). The method is tested on a coupled fluidthermal
problem: the design of a simplified aircraft air control system. Furthermore, the
control of the method’s accuracy is discussed, leading to the metamodeling of the residual
itself. The presented POD-ISAT approach provides by its flexibility and robustness an
appropriate representation of the solutions for different use cases (sensitivity analysis,
optimization, etc.
