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

Published online by Cambridge University Press:  03 June 2015

N. Ganesh  and
N. Balakrishnan
N. Ganesh*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, India
N. Balakrishnan*
Affiliation:
Computational Aerodynamics Laboratory, Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India
*
Email:n.ganesh@iitg.ernet.in
Corresponding author.Email:nbalak@aero.iisc.ernet.in
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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.

Keywords

65M0865M5065Z0576N15Adaptive refinementerror estimatorresidualerror indicator

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Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 2 , February 2013 , pp. 461 - 478
Copyright
Copyright © Global Science Press Limited 2013

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