Abstract
In this paper, stability and accuracy of various transient subgrid scale (SGS) stabilized methods are analyzed for the advection–diffusion–reaction equation. The methods studied are based on semi-discrete and time-discontinuous space–time versions of the SGS method, an approximation of the variational multiscale method. Also, predictor multi-corrector algorithms of the above methods are analyzed. Within this context, the diagonally implicit treatment of dissipative source terms, which was shown in the first paper of the series to enhance both, stability and accuracy of explicit methods, is explored in this paper for the SGS method. It will be shown that the parent SUPG and SGS methods perform very similarly. That mass lumping may improve the accuracy of explicit methods. And finally, the most attractive options for the explicit integration of equations with source terms will be presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Computer Methods in Applied Mechanics and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.