Semi-conservative high order scheme with numerical entropy indicator for intrusive formulations of hyperbolic systems

This work considers high order discretizations for the intrusive stochastic Galerkin and polynomial moment method. Applications to hyperbolic systems result in solutions that typically involve a large number of wave interactions must be resolved numerically. In reduce numerical oscillations, analytical entropy indicators are used perform CWENO-type reconstructions characteristic variables, when where non-smooth arise. The proposed method is analyzed random isentropic Euler equations. particular, semi-conservative scheme employed non-polynomial pressure computational cost, while still ensuring correct shock speeds.