A <em>h</em>-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows

A <em>h</em>-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows

Year:    2013

Communications in Computational Physics, Vol. 13 (2013), Iss. 2 : pp. 461–478

Abstract

Algorithms for adaptive mesh refinement using a residual error estimator are proposed for fluid flow problems in a finite volume framework. The residual error estimator, referred to as the ℜ-parameter is used to derive refinement and coarsening criteria for the adaptive algorithms. An adaptive strategy based on the ℜ-parameter is proposed for continuous flows, while a hybrid adaptive algorithm employing a combination of error indicators and the ℜ-parameter is developed for discontinuous flows. Numerical experiments for inviscid and viscous flows on different grid topologies demonstrate the effectiveness of the proposed algorithms on arbitrary polygonal grids.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.170811.210212a

Communications in Computational Physics, Vol. 13 (2013), Iss. 2 : pp. 461–478

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

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