In this paper we propose two error indicators aimed at estimating the space discretization error and the time discretization error for the unsteady Navier–Stokes equations. We define a space error indicator for evaluating the quality of the mesh and a time error indicator for evaluating the time discretization error. Moreover, we verify the reliability of the estimations through numerical experiments and we propose an effective space-time adaptive strategy for the unsteady Navier–Stokes equations. Such technique is based on two residual-based error indicators that suitably drive the mesh and the timestep-length modifications. Adaptive simulations show that the presented strategy allows to obtain accurate solutions in efficient way.
Numerical investigation of effectivity indices of space-time error indicators for Navier–Stokes equations / BERRONE S.; MARRO M. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - STAMPA. - 199:25*26(2010), pp. 1764-1782.
|Titolo:||Numerical investigation of effectivity indices of space-time error indicators for Navier–Stokes equations|
|Data di pubblicazione:||2010|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.cma.2010.02.004|
|Appare nelle tipologie:||1.1 Articolo in rivista|