A hybrid adaptive multiresolution approach for the efficient simulation of reactive flows

TL;DR

This paper introduces a hybrid adaptive multiresolution (HAMR) method that enhances the efficiency of reactive flow simulations by reducing unnecessary mesh resolution through smoothness-based adaptivity and interpolation.

Contribution

A novel HAMR approach combining multiresolution indicators and interpolation to optimize adaptive mesh refinement in reactive flow simulations.

Findings

HAMR reduces computational cost compared to traditional AMR.

The method maintains accuracy by balancing discretization and interpolation errors.

Effective across a range of reactive flow problems, including turbulent combustion.

Abstract

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.