ExaQUte: D2.3. Adjoint-based error estimation routines
This document presents a simple and ecient strategy for adaptive mesh refinement (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]....
| Autores: | , , , , , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/346913 |
| Acceso en línea: | https://hdl.handle.net/2117/346913 https://dx.doi.org/10.23967/exaqute.2021.2.022 |
| Access Level: | acceso abierto |
| Palabra clave: | Navier-Stokes equations--Numerical solutions Equacions de Navier-Stokes -- Mètodes numèrics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Sumario: | This document presents a simple and ecient strategy for adaptive mesh refinement (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 definition and a brief mathematical summary of the error estimator(s). The results obtained. A description of the API. |
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