A design of residual error estimates for a high order BDF-DGFEM applied to the compressible flows
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Accepted |
| Journal: | International Journal for Numerical Methods in Fluids |
| Year: | 2013 |
| Abstract: | We deal with the numerical solution of the non-stationary compressible Navier-Stokes equations with the aid of the backward difference formula – discontinuous Galerkin finite element (BDF-DGFE) method. This scheme is sufficiently stable, efficient and accurate with respect to the space as well as time coordinates. The nonlinear algebraic systems arising from the BDF-DGFE discretization are solved by an iterative Newton-like method. The main benefit of this paper are residual error estimates which are able to identify the computational errors following from the space and time discretizations and from the inexact solution of the nonlinear algebraic systems. Thus we propose an efficient algorithm where the algebraic, spatial and temporal errors are balanced. The computational performance of the proposed method is demonstrated by a list of numerical experiments. |
| Preprint project: | NCMM |
| Preprint year: | 2013 |
| Preprint number: | 11 |
| Preprint ID: | NCMM/2013/11 |
| Keywords: | compressible Navier-Stokes equations, discontinuous Galerkin finite element method, nonlinear |
| Authors | |
| Added by: | [JP] |
| Total mark: | 0 |
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