Adaptive refinement in incompressible fluid flow simulation based on THB-splines-powered isogeometric analysis

Bohumír Bastl and Kristýna Slabá

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 228, issue C, 514-533

Abstract: In this paper, we deal with adaptive refinement in numerical simulation of incompressible flow solved by isogeometric analysis. We study various error estimators and compare them with respect to convergence to the exact solution. Further, we propose a new class of error estimators based on stabilization methods for numerical solving of incompressible flow and we show that they provide viable option to standard error estimators. Moreover, we comment on different choices of marking strategies and their suitability to the case of incompressible flow and provide comparison of error estimators also with respect to selected marking strategies and selected representative pairs of discretization spaces in isogeometric analysis.

Keywords: Isogeometric analysis; THB-splines; Adaptive refinement; Incompressible flow; Error estimator (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:228:y:2025:i:c:p:514-533

DOI: 10.1016/j.matcom.2024.09.016

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