@inproceedings{7bd66967ffd94b4a80c2b9d520ecca63,
title = "Efficiency of shock capturing schemes for Burgers' equation with boundary uncertainty",
abstract = "Burgers' equation with uncertain initial and boundary conditions is approximated using a polynomial chaos expansion approach where the solution is represented as a series of stochastic, orthogonal polynomials. Even though the analytical solution is smooth, a number of discontinuities emerge in the truncated system. The solution is highly sensitive to the propagation speed of these discontinuities. High-resolution schemes are needed to accurately capture the behavior of the solution. The emergence of different scales of the chaos modes require dissipation operators to yield accurate solutions. We will compare the results using the MUSCL scheme with previously obtained results using conventional one-sided operators.",
keywords = "High resolution schemes, Hyperbolic systems, Uncertainty quantification",
author = "Per Pettersson and Qaisar Abbas and Gianluca Iaccarino and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} SACAM.; 7th South African Conference on Computational and Applied Mechanics, SACAM 2010 ; Conference date: 10-01-2010 Through 13-01-2010",
year = "2010",
language = "English",
series = "7th South African Conference on Computational and Applied Mechanics, SACAM 2010",
publisher = "South African Association for Theoretical and Applied Mechanics (SAAM)",
pages = "147--154",
editor = "Schalk Kok and Inglis, {Helen Mary} and Wilke, {Daniel Nicolas}",
booktitle = "7th South African Conference on Computational and Applied Mechanics, SACAM 2010",
}