Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357833 | Journal of Computational Physics | 2005 | 33 Pages |
Abstract
This paper provides an implicit fluctuation splitting scheme which achieves second-order accuracy in both space and time, while guaranteeing monotone solutions. The method is based on a dual-time-stepping approach which allows to separate the spatial and temporal discretizations. A novel distribution scheme of the unsteady-fluctuation term, coupled with a new limiting procedure for hampering spurious extrema, are the key-ingredients of the remarkable accuracy of the new method, which is applied with success to both scalar advection problems and unsteady inviscid flows in two space dimensions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
P. De Palma, G. Pascazio, G. Rossiello, M. Napolitano,