This paper provides a novel 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 leading to the remarkable accuracy of the new I method. This is applied with success to both scalar advection problems and unsteady inviscid flows in two space dimensions. In both applications the scheme is markedly superior to current state-of-the-art explicit fluctuation splitting schemes.
A second-order-accurate monotone implicit fluctuation splitting scheme for unsteady problems / De Palma, P.; Pascazio, G.; Rossiello, G.; Napolitano, M.. - STAMPA. - (2003), pp. 731-736. (Intervento presentato al convegno Second International Conference on Computational Fluid Dynamics tenutosi a Sydney, Australia nel 15-19 July 2002) [10.1007/978-3-642-59334-5_111].
A second-order-accurate monotone implicit fluctuation splitting scheme for unsteady problems
P. De Palma;G. Pascazio;G. Rossiello;M. Napolitano
2003-01-01
Abstract
This paper provides a novel 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 leading to the remarkable accuracy of the new I method. This is applied with success to both scalar advection problems and unsteady inviscid flows in two space dimensions. In both applications the scheme is markedly superior to current state-of-the-art explicit fluctuation splitting schemes.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.