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 that must be resolved numerically. In order to reduce numerical oscillations, analytical and numerical entropy indicators are used to perform CWENO-type reconstructions in characteristic variables, when and where non-smooth solutions arise. The proposed method is analyzed for random isentropic Euler equations. In particular, a semi-conservative scheme is employed for non-polynomial pressure in order to reduce the computational cost, while still ensuring correct shock speeds.

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

Semplice M.
2023-01-01

Abstract

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 that must be resolved numerically. In order to reduce numerical oscillations, analytical and numerical entropy indicators are used to perform CWENO-type reconstructions in characteristic variables, when and where non-smooth solutions arise. The proposed method is analyzed for random isentropic Euler equations. In particular, a semi-conservative scheme is employed for non-polynomial pressure in order to reduce the computational cost, while still ensuring correct shock speeds.
2023
2023
https://www.sciencedirect.com/science/article/pii/S0021999123003492
Hyperbolic partial differential equations; Uncertainty quantification; Stochastic Galerkin; Polynomial moment method; High order discretizations
Gerster, S.; Semplice, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2165754
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