A block-line-Gauss-Seidel (LGS) method is developed for solving the incompressible and compressible Navier-Stokes equations in two dimensions. The method requires only one block-tridiagonal solution process per iteration and is consequently faster per step than the linearized block-alternating-direction-implicit (ADI) methods. Results are presented for both incompressible and compressible separated flows: in all cases the proposed block- LGS method is more efficient than the block-ADI methods. Furthermore, for high-Reynolds-number weakly separated incompressible flow in a channel, which proved to be an impossible task for a block-ADI method, solutions have been obtained very efficiently using the new scheme.
An incremental block-line-Gauss-Seidel method for the Navier-Stokes equations / Napolitano, M.; Walters, R. W.. - In: AIAA JOURNAL. - ISSN 0001-1452. - STAMPA. - 24:5(1986), pp. 770-776. [10.2514/3.9344]
An incremental block-line-Gauss-Seidel method for the Navier-Stokes equations
M. Napolitano;
1986-01-01
Abstract
A block-line-Gauss-Seidel (LGS) method is developed for solving the incompressible and compressible Navier-Stokes equations in two dimensions. The method requires only one block-tridiagonal solution process per iteration and is consequently faster per step than the linearized block-alternating-direction-implicit (ADI) methods. Results are presented for both incompressible and compressible separated flows: in all cases the proposed block- LGS method is more efficient than the block-ADI methods. Furthermore, for high-Reynolds-number weakly separated incompressible flow in a channel, which proved to be an impossible task for a block-ADI method, solutions have been obtained very efficiently using the new scheme.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
