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Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics: Overview and Recent Results
| Citations: | 5 - 1 self |
BibTeX
@MISC{Fidkowski_output-basederror,
author = {Krzysztof J. Fidkowski and David L. Darmofal},
title = {Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics: Overview and Recent Results},
year = {}
}
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Abstract
Error estimation an control are critical ingredients for improving the reliability of computational simulations. Adjoint-based techniques can be used to both estimate the error in chosen solution outputs and to provide local indicators for adaptive refinement. This article reviews recent work on these techniques for Computational Fluid Dynamics (CFD) applications in aerospace engineering. The definition of the adjoint as the sensitivity of an output to residual source perturbations is used to derive both the adjoint equation, in fully-discrete and variational formulations, and the adjointweighted residual method for error estimation. Assumptions and approximations made in the calculations are discussed. Presentation of the discrete and variational formulations enables a side-by-side comparison of recent work in output error estimation using the finite volume method and the finite element method. Recent adaptive results from a variety of applications show the power of output-based adaptive methods for improving the robustness of CFD computations. However, challenges and areas of additional future research remain, including computable error bounds and robust mesh adaptation mechanics. I
Keyphrases
computational fluid dynamic output-based error estimation recent result mesh adaptation variational formulation recent work error estimation critical ingredient source perturbation output-based adaptive method finite element method chosen solution output adjoint equation computational simulation adaptive refinement additional future research remain computable error bound output error estimation adjointweighted residual method local indicator adjoint-based technique side-by-side comparison recent adaptive result finite volume method cfd computation robust mesh adaptation mechanic aerospace engineering
