کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522042 | 867807 | 2011 | 25 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier–Stokes equations Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier–Stokes equations](/preview/png/522042.png)
We deal with the numerical solution of the system of the compressible Navier–Stokes equations with the aid of the interior penalty Galerkin method. We employ a semi-implicit time discretization which leads to the solution of a sequence of linear algebraic systems. We develop an efficient strategy for the solution of these systems. It is based on a simple adaptive technique for the choice of the time step and a relatively weak stopping criterion for iterative linear algebraic solvers. The presented numerical experiments show that the proposed strategy is efficient for steady-state problems using various grids, polynomial degrees of approximations and flow regimes. Finally, we apply this strategy with a minor modification to an unsteady flow.
Journal: Journal of Computational Physics - Volume 230, Issue 11, 20 May 2011, Pages 4176–4200