Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models

Date

2013-11-11

Author

Yücel, Hamdullah
BENNER, Peter

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In this paper, convection-diffusion-reaction models with nonlinear reaction mechanisms, which are typical problems of chemical systems, are studied by using the upwind symmetric interior penalty Galerkin (SIPG) method. The local spurious oscillations are minimized by adding an artificial viscosity diffusion term to the original equations. A discontinuity sensor is used to detect the layers where unphysical oscillations occur. Finally, the proposed method is tested on various single- and multi-component problems.

Subject Keywords

Discontinuous Galerkin methods, Shock-capturing, Discontinuity sensor, Convection dominated problems

URI

https://hdl.handle.net/11511/32174

Journal

COMPUTERS & CHEMICAL ENGINEERING

DOI

https://doi.org/10.1016/j.compchemeng.2013.07.011

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

H. Yücel and P. BENNER, “Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models,” COMPUTERS & CHEMICAL ENGINEERING, pp. 278–287, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32174.