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


A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows

N. Ganesh 1, N. Balakrishnan 2*

1 Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, India.
2 Computational Aerodynamics Laboratory, Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India.

Received 17 August 2011; Accepted (in revised version) 21 February 2012
Available online 28 June 2012
doi:10.4208/cicp.170811.210212a

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.

AMS subject classifications: 65M08, 65M50, 65Z05, 76N15

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Key words: Adaptive refinement, error estimator, residual, error indicator.

*Corresponding author.
Email: n.ganesh@iitg.ernet.in (N. Ganesh), nbalak@aero.iisc.ernet.in (N. Balakrishnan)
 

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