A hybrid adaptive multiresolution approach for the efficient simulation
  of reactive flows
  Computational studies that use block-structured adaptive mesh refinement
(AMR) approaches suffer from unnecessarily high mesh resolution in regions
adjacent to important solution features. This deficiency limits the performance
of AMR codes. In this work a novel hybrid adaptive multiresolution (HAMR)
approach to AMR-based calculations is introduced to address this issue. The
multiresolution (MR) smoothness indicators are used to identify regions of
smoothness on the mesh where the computational cost of individual physics
solvers may be decreased by replacing direct calculations with interpolation.
We suggest an approach to balance the errors due to the adaptive discretization
and the interpolation of physics quantities such that the overall accuracy of
the HAMR solution is consistent with that of the MR-driven AMR solution. The
performance of the HAMR scheme is evaluated for a range of test problems, from
pure hydrodynamics to turbulent combustion.
