D2.3. Adjoint-based error estimation routines

B. Keith, A. Apostolatos, A. Kodakkal, R. Rossi, R. Tosi, B. Wohlmuth, C. Soriano

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D2.3. Adjoint-based error estimation routines

B. Keith, A. Apostolatos, A. Kodakkal, R. Rossi, R. Tosi, B. Wohlmuth, C. Soriano

Abstract

This document presents a simple and ecient strategy for adaptive mesh renement

(AMR) and a posteriori error estimation for the transient incompressible Navier{Stokes

equations. This strategy is informed by the work of Prudhomme and Oden [22, 23]

as well as modern goal-oriented methods such as [5]. The methods described in this document have been implemented in the Kratos Multiphysics software and uploaded to

https://zenodo.org [27].1

This document includes:

A review of the state-of-the-art in solution-oriented and goal-oriented AMR.

The description of a 2D benchmark model problem of immediate relevance to the

objectives of the ExaQUte project.

The denition and a brief mathematical summary of the error estimator(s).

The results obtained.

A description of the API.

How to cite

B. Keith, A. Apostolatos, A. Kodakkal, R. Rossi, R. Tosi, B. Wohlmuth and C. Soriano, D2.3. Adjoint-based error estimation routines, Open Access Repository of the ExaQUte project: Deliverables (2021). 5 URL https://www.scipedia.com/public/table_Soriano_2019a

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