Efficiency of Shock Capturing Schemes for Burgers' Equation with Boundary Uncertainty
2010 (English)In: Proc. 7th South African Conference on Computational and Applied Mechanics, South African Association for Theoretical and Applied Mechanics , 2010, 22:1-8 p.Conference paper (Other academic)
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.
Place, publisher, year, edition, pages
South African Association for Theoretical and Applied Mechanics , 2010. 22:1-8 p.
Computational Mathematics Computer Science
IdentifiersURN: urn:nbn:se:liu:diva-68602OAI: oai:DiVA.org:liu-68602DiVA: diva2:418729