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. - In: Computational Fluid Dynamics 2002 : proceedings of the Second International Conference on Computational Fluid Dynamics, ICCFD, Sydney, Australia, 15–19 July 2002 / [a cura di] Steve W. Armfield; Patrick Morgan; Karkenahalli Srinivas. - STAMPA. - Berlin; Heidelberg : Springer, 2003. - ISBN 978-3-642-63938-8. - pp. 731-736 (( 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.
