Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows

The Cartesian cut-cell method is one of the most promising methods for computational fluid dynamics due to its sharp interface treatment. However, the Cartesian cut-cell method and other Cartesian mesh solvers have difficulty with concentrating grid to boundary layers. The wall-modelling of shear st...

Full description

Bibliographic Details
Main Authors: Yuki Takeda, Kazuyuki Ueno, Tatsuya Ishikawa, Yuta Takahashi
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/15/5050
id doaj-8f9d9e72e42b490b82ccadbcd45c1901
record_format Article
spelling doaj-8f9d9e72e42b490b82ccadbcd45c19012020-11-25T03:28:52ZengMDPI AGApplied Sciences2076-34172020-07-01105050505010.3390/app10155050Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number FlowsYuki Takeda0Kazuyuki Ueno1Tatsuya Ishikawa2Yuta Takahashi3Faculty of Science and Engineering Iwate University, 4-3-5 Ueda, Morioka, Iwate 020-8551, JapanFaculty of Science and Engineering Iwate University, 4-3-5 Ueda, Morioka, Iwate 020-8551, JapanGraduate School of Science and Engineering Iwate University, 4-3-5 Ueda, Morioka, Iwate 020-8551, JapanGraduate School of Science and Engineering Iwate University, 4-3-5 Ueda, Morioka, Iwate 020-8551, JapanThe Cartesian cut-cell method is one of the most promising methods for computational fluid dynamics due to its sharp interface treatment. However, the Cartesian cut-cell method and other Cartesian mesh solvers have difficulty with concentrating grid to boundary layers. The wall-modelling of shear stress is one of the most effective methods to reduce computational grids in boundary layers. This study investigated the applicability of a wall-stress model to the Cartesian cut-cell method. In the numerical simulations of the flow around a triangular column, Cartesian cut-cell simulation with the wall-stress model adequately predicted the drag coefficient. In the numerical simulations of the flow around a 30P30N high-lift airfoil configuration, the Cartesian cut-cell simulation with the wall-stress model adequately predicts the lift coefficient. The intermittent vortex structure of the outer layer of the turbulent boundary layer was observed on the suction side of the main element and the flap. The Cartesian cut-cell method with a wall-stress model is useful for predicting high Reynolds number flows at <inline-formula> <math display="inline"> <semantics> <mrow> <mi>R</mi> <mi>e</mi> <mo>∼</mo> <msup> <mn>10</mn> <mn>6</mn> </msup> </mrow> </semantics> </math> </inline-formula>.https://www.mdpi.com/2076-3417/10/15/5050cartesian cut-cell methodwall modelaerodynamic forcecomputational fluid dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Yuki Takeda
Kazuyuki Ueno
Tatsuya Ishikawa
Yuta Takahashi
spellingShingle Yuki Takeda
Kazuyuki Ueno
Tatsuya Ishikawa
Yuta Takahashi
Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows
Applied Sciences
cartesian cut-cell method
wall model
aerodynamic force
computational fluid dynamics
author_facet Yuki Takeda
Kazuyuki Ueno
Tatsuya Ishikawa
Yuta Takahashi
author_sort Yuki Takeda
title Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows
title_short Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows
title_full Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows
title_fullStr Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows
title_full_unstemmed Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows
title_sort prediction capability of cartesian cut-cell method with a wall-stress model applied to high reynolds number flows
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-07-01
description The Cartesian cut-cell method is one of the most promising methods for computational fluid dynamics due to its sharp interface treatment. However, the Cartesian cut-cell method and other Cartesian mesh solvers have difficulty with concentrating grid to boundary layers. The wall-modelling of shear stress is one of the most effective methods to reduce computational grids in boundary layers. This study investigated the applicability of a wall-stress model to the Cartesian cut-cell method. In the numerical simulations of the flow around a triangular column, Cartesian cut-cell simulation with the wall-stress model adequately predicted the drag coefficient. In the numerical simulations of the flow around a 30P30N high-lift airfoil configuration, the Cartesian cut-cell simulation with the wall-stress model adequately predicts the lift coefficient. The intermittent vortex structure of the outer layer of the turbulent boundary layer was observed on the suction side of the main element and the flap. The Cartesian cut-cell method with a wall-stress model is useful for predicting high Reynolds number flows at <inline-formula> <math display="inline"> <semantics> <mrow> <mi>R</mi> <mi>e</mi> <mo>∼</mo> <msup> <mn>10</mn> <mn>6</mn> </msup> </mrow> </semantics> </math> </inline-formula>.
topic cartesian cut-cell method
wall model
aerodynamic force
computational fluid dynamics
url https://www.mdpi.com/2076-3417/10/15/5050
work_keys_str_mv AT yukitakeda predictioncapabilityofcartesiancutcellmethodwithawallstressmodelappliedtohighreynoldsnumberflows
AT kazuyukiueno predictioncapabilityofcartesiancutcellmethodwithawallstressmodelappliedtohighreynoldsnumberflows
AT tatsuyaishikawa predictioncapabilityofcartesiancutcellmethodwithawallstressmodelappliedtohighreynoldsnumberflows
AT yutatakahashi predictioncapabilityofcartesiancutcellmethodwithawallstressmodelappliedtohighreynoldsnumberflows
_version_ 1724582328967102464