Hybrid mesh adaptation applied to industrial numerical combustion

Abstract

SUMMARY This paper presents an anisotropic mesh adaptation method applied to industrial combustion problems. The method is based on a measure of the distance between two Riemannian metrics called metric non‐conformity. This measure, which can be used to build a cost function to adapt meshes comprising several types of mesh elements, provides the basis for a generic mesh adaptation approach applicable to various types of physical problems governed by partial differential equations. The approach is shown to be applicable to industrial combustion problems, through the specification of a target metric computed as the intersection of several Hessian matrices reconstructed from the main variables of the governing equations. Numerical results show that the approach is cost effective in that it can drastically improve the prediction of temperature and species distributions in the flame region of a combustor while reducing computational cost. The results can be used as a basis for pollutant prediction models. Copyright © 2011 John Wiley & Sons, Ltd.

Exact pressure integrations on submerged bodies in waves using a quadtree adaptive mesh algorithm

“…The authors accomplish this by implementing a particularly suited recursive edge division algorithm depicted in [37]. Also, within the field of unstructured mesh Eulerian adaptation, Sirois et al [38] presented an anisotropic method governed by the difference between two Riemannian metrics. The anisotropic mesh adaptation resulting metric is compared with a specified metric that reflects 'good' element size and shape distribution; the first is then, through element-wise topological modification operations, modified to come closer to the second-thus resulting in a hybrid mesh.…”