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

N. Ganesh & N. Balakrishnan

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 = {}, 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 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 & N. Balakrishnan. (2020). 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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