This paper provides a rational attempt at extending well established linear and nonlinear residual distribution schemes from triangular linear cells to quadrilateral ones. Results are provided for linear advection of smooth and discontinuous initial data, as well as for a nonlinear advection problem generating a discontinuity. A theoretical analysis shows that linearity preserving schemes are characterized by lower dissipation on rectangular grids than on triangular ones, which renders them marginally stable. Further work on the nonlinear Burgers' equation is needed to demonstrate the usefulness of such schemes for solving transonic flows using a quadrilateral grid in the viscous boundary-layer and a triangular one in the outer inviscid flow region.
Multidimensional upwind cell-vertex schemes for quadrilateral cells / De Palma, P.; Pascazio, G.; Rubino, D. T.; Napolitano, M.. - CD-ROM. - (2004). (Intervento presentato al convegno 4th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 tenutosi a Jyvaskyla, Finland nel July 24-28, 2004).
Multidimensional upwind cell-vertex schemes for quadrilateral cells
De Palma, P.;Pascazio, G.;Rubino, D. T.;Napolitano, M.
2004-01-01
Abstract
This paper provides a rational attempt at extending well established linear and nonlinear residual distribution schemes from triangular linear cells to quadrilateral ones. Results are provided for linear advection of smooth and discontinuous initial data, as well as for a nonlinear advection problem generating a discontinuity. A theoretical analysis shows that linearity preserving schemes are characterized by lower dissipation on rectangular grids than on triangular ones, which renders them marginally stable. Further work on the nonlinear Burgers' equation is needed to demonstrate the usefulness of such schemes for solving transonic flows using a quadrilateral grid in the viscous boundary-layer and a triangular one in the outer inviscid flow region.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
