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Volume 13, Issue 2
A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows

N. Ganesh & N. Balakrishnan

DOI: 10.4208/cicp.170811.210212a

Commun. Comput. Phys., 13 (2013), pp. 461-478.

Published online: 2013-02

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  • 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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@Article{CiCP-13-461, author = {N. Ganesh and N. Balakrishnan}, title = {A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.170811.210212a}, url = {http://global-sci.org/intro/article_detail/cicp/7231.html} }
TY - JOUR T1 - A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows AU - N. Ganesh & N. Balakrishnan JO - Communications in Computational Physics VL - 2 SP - 461 EP - 478 PY - 2013 DA - 2013/02 SN - 13 DO - http://doi.org/10.4208/cicp.170811.210212a UR - https://global-sci.org/intro/article_detail/cicp/7231.html KW - AB -

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.

N. Ganesh and N. Balakrishnan. (2013). A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows. Communications in Computational Physics. 13 (2). 461-478. doi:10.4208/cicp.170811.210212a
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