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1 results

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

  • N. Ganesh, N. Balakrishnan
  • Journal:
    Communications in Computational Physics / Volume 13 / Issue 2 / February 2013
    Published online by Cambridge University Press:
    03 June 2015, pp. 461-478
    Print publication:
    February 2013

  • 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.