The present contribution describes the latest developments in the application of multidimensional upwind residual distribution or fluctuation splitting schemes for the solution of the Euler equations in three space dimensions. Originally developed for solving scalar advection equations, the fluctuation splitting schemes have been recently generalized to solve non commuting hyperbolic systems. This step proved to be essential to preserve robustness and monotonicity for systems in 3D. Preconditioning techniques aimed at decoupling the hyperbolic and elliptic part of the steady state system are also discussed. These allow to solve optimally decoupled pseudo-unsteady systems as an alternative to the original set of unsteady equations iif only state state solutions are of interest. Preliminary numerical results are presented, covering the range from subsonic to hypersonic flows.
Multidimensional Upwind Residual Distribution Schemes for the 3D Euler Equations
BONFIGLIOLI, Aldo;
1997-01-01
Abstract
The present contribution describes the latest developments in the application of multidimensional upwind residual distribution or fluctuation splitting schemes for the solution of the Euler equations in three space dimensions. Originally developed for solving scalar advection equations, the fluctuation splitting schemes have been recently generalized to solve non commuting hyperbolic systems. This step proved to be essential to preserve robustness and monotonicity for systems in 3D. Preconditioning techniques aimed at decoupling the hyperbolic and elliptic part of the steady state system are also discussed. These allow to solve optimally decoupled pseudo-unsteady systems as an alternative to the original set of unsteady equations iif only state state solutions are of interest. Preliminary numerical results are presented, covering the range from subsonic to hypersonic flows.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
