| Autor: |
Syrakos, Alexandros, Goulas, Apostolos |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
International Journal for Numerical Methods in Fluids 50 (2006) 103-130 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1002/fld.1038 |
| Popis: |
A methodology is proposed for the calculation of the truncation error of finite volume discretisations of the incompressible Navier-Stokes equations on colocated grids. The truncation error is estimated by restricting the solution obtained on a given grid to a coarser grid and calculating the image of the discrete Navier-Stokes operator of the coarse grid on the restricted velocity and pressure field. The proposed methodology is not a new concept but its application to colocated finite volume discretisations of the incompressible Navier-Stokes equations is made possible by the introduction of a variant of the momentum interpolation technique for mass fluxes where the pressure-part of the mass fluxes is not dependent on the coefficients of the linearised momentum equations. The theory presented is supported by a number of numerical experiments. The methodology is developed for two-dimensional flows, but extension to three-dimensional cases should not pose problems. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
