Numerical Entropy Production on Shocks and Smooth Transitions

Authors:
Gabriella Puppo
Affiliations:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. puppo@calvino.polito.it
Venue:
Journal of Scientific Computing
Year:
2002

Citing 4
Cited 0

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Non-oscillatory central differencing for hyperbolic conservation laws

Journal of Computational Physics
Compact Central WENO Schemes for Multidimensional Conservation Laws

SIAM Journal on Scientific Computing
Numerical Entropy Production for Central Schemes

SIAM Journal on Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this work, we propose an algorithm to measure the numerical entropy production of several high order central schemes. The results obtained on a numerical test indicate that this quantity permits to estimate the local error, in regions of smooth flow, and to detect and locate shocks.