Mesh adaptation as a tool for certified computational aerodynamics

“…In this context, we can still wonder if using metric tensor fields to control such error estimates is a relevant choice. For the linear interpolation error, a lot of numerical examples for real life problems [29,24,35,28,66,27,60,65] tend to answer a rmatively to this question. In this section, this question is theoretically addressed and the pertinence of the use of metric tensor fields for anisotropic mesh adaptation is assessed.…”

Section: Motivationmentioning

confidence: 98%

A decade of progress on anisotropic mesh adaptation for computational fluid dynamics

Alauzet

Loseille

2016

Computer-Aided Design

156

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Please cite this article as: Alauzet F, Loseille A. A decade of progress on anisotropic mesh adaptation for computational fluid dynamics. Computer-Aided Design (2015), http://dx. AbstractIn the context of scientific computing, the mesh is used as a discrete support for the considered numerical methods. As a consequence, the mesh greatly impacts the e ciency, the stability and the accuracy of numerical methods. The goal of anisotropic mesh adaptation is to generate a mesh which fits the application and the numerical scheme in order to achieve the best possible solution. It is thus an active field of research which is progressing continuously. This review article proposes a synthesis of the research activity of the INRIA Gamma3 team in the field of anisotropic mesh adaptation applied to inviscid flows in computational fluid dynamics since 2000. It shows the evolution of the theoretical and numerical results during this period. Finally, challenges for the next decade are discussed.

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“…Addressed applications are either steady or unsteady [3,23,5]. Metric-based mesh adaptation efficiency and genericity have been proved by many successful applications for 3D complex problems [3,11,18,19,23,45,50,51]. However, these methods are limited to the minimization of some interpolation errors for some solution fields.…”

Section: State Of the Artmentioning

confidence: 98%