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
Autori: | |
Titolo: | A second-order-accurate monotone implicit fluctuation splitting scheme for unsteady problems |
Rivista: | |
Data di pubblicazione: | 2005 |
Digital Object Identifier (DOI): | 10.1016/j.jcp.2004.11.023 |
Handle: | http://hdl.handle.net/11589/295 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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