Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations

Model verification, validation, and uncertainty quantification are essential procedures to estimate errors within cardiovascular flow modeling, where acceptable confidence levels are needed for clinical reliability. While more turbulent-like studies are frequently observed within the biofluid commun...

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Main Authors: Magnus Andersson, Matts Karlsson
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/6/1/11
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author Magnus Andersson
Matts Karlsson
author_facet Magnus Andersson
Matts Karlsson
author_sort Magnus Andersson
collection DOAJ
description Model verification, validation, and uncertainty quantification are essential procedures to estimate errors within cardiovascular flow modeling, where acceptable confidence levels are needed for clinical reliability. While more turbulent-like studies are frequently observed within the biofluid community, practical modeling guidelines are scarce. Verification procedures determine the agreement between the conceptual model and its numerical solution by comparing for example, discretization and phase-averaging-related errors of specific output parameters. This computational fluid dynamics (CFD) study presents a comprehensive and practical verification approach for pulsatile turbulent-like blood flow predictions by considering the amplitude and shape of the turbulence-related tensor field using anisotropic invariant mapping. These procedures were demonstrated by investigating the Reynolds stress tensor characteristics in a patient-specific aortic coarctation model, focusing on modeling-related errors associated with the spatiotemporal resolution and phase-averaging sampling size. Findings in this work suggest that attention should also be put on reducing phase-averaging related errors, as these could easily outweigh the errors associated with the spatiotemporal resolution when including too few cardiac cycles. Also, substantially more cycles are likely needed than typically reported for these flow regimes to sufficiently converge the phase-instant tensor characteristics. Here, higher degrees of active fluctuating directions, especially of lower amplitudes, appeared to be the most sensitive turbulence characteristics.
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spelling doaj.art-934e3116d2974ff29bf1d2a10d5d7df72023-11-21T03:10:40ZengMDPI AGFluids2311-55212020-12-01611110.3390/fluids6010011Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow SimulationsMagnus Andersson0Matts Karlsson1Department of Management and Engineering, Linköping University, SE-581 83 Linköping, SwedenDepartment of Management and Engineering, Linköping University, SE-581 83 Linköping, SwedenModel verification, validation, and uncertainty quantification are essential procedures to estimate errors within cardiovascular flow modeling, where acceptable confidence levels are needed for clinical reliability. While more turbulent-like studies are frequently observed within the biofluid community, practical modeling guidelines are scarce. Verification procedures determine the agreement between the conceptual model and its numerical solution by comparing for example, discretization and phase-averaging-related errors of specific output parameters. This computational fluid dynamics (CFD) study presents a comprehensive and practical verification approach for pulsatile turbulent-like blood flow predictions by considering the amplitude and shape of the turbulence-related tensor field using anisotropic invariant mapping. These procedures were demonstrated by investigating the Reynolds stress tensor characteristics in a patient-specific aortic coarctation model, focusing on modeling-related errors associated with the spatiotemporal resolution and phase-averaging sampling size. Findings in this work suggest that attention should also be put on reducing phase-averaging related errors, as these could easily outweigh the errors associated with the spatiotemporal resolution when including too few cardiac cycles. Also, substantially more cycles are likely needed than typically reported for these flow regimes to sufficiently converge the phase-instant tensor characteristics. Here, higher degrees of active fluctuating directions, especially of lower amplitudes, appeared to be the most sensitive turbulence characteristics.https://www.mdpi.com/2311-5521/6/1/11barycentric anisotropy invariant mapturbulence componentalityepistemic modeling errorspatient-specific computational hemodynamicslarge eddy simulationsimage-based cardiovascular flow modeling
spellingShingle Magnus Andersson
Matts Karlsson
Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations
Fluids
barycentric anisotropy invariant map
turbulence componentality
epistemic modeling errors
patient-specific computational hemodynamics
large eddy simulations
image-based cardiovascular flow modeling
title Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations
title_full Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations
title_fullStr Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations
title_full_unstemmed Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations
title_short Model Verification and Error Sensitivity of Turbulence-Related Tensor Characteristics in Pulsatile Blood Flow Simulations
title_sort model verification and error sensitivity of turbulence related tensor characteristics in pulsatile blood flow simulations
topic barycentric anisotropy invariant map
turbulence componentality
epistemic modeling errors
patient-specific computational hemodynamics
large eddy simulations
image-based cardiovascular flow modeling
url https://www.mdpi.com/2311-5521/6/1/11
work_keys_str_mv AT magnusandersson modelverificationanderrorsensitivityofturbulencerelatedtensorcharacteristicsinpulsatilebloodflowsimulations
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