In order to simplify the solving process of Euler equation for panel flutter

approximate boundary conditions were successfully introduced into CBS (characteristic-based split) finite element method to simulate the panel flutter. The impact of moving boundary was treated as normal boundary conditions for Euler equation. From analysis

it is found that:first

the results by approximate boundary conditions agree very well with those by moving boundary method

and the application of approximate boundary conditions is more convenient; then

Euler equation

rather than 3rd order piston theory is able to capture the pressure jump caused by sharp points at the ends of panels; finally

CBS finite element method with approximate boundary conditions has potentials and advantages in solving the fluid-structure interaction problems of small deformation of slender bodies in inviscid compressible flows.