Curving for viscous meshes

Steve L. Karman

doi:10.1007/978-3-030-13992-6_17

Curving for viscous meshes

Steve L. Karman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

Finite-element flow solvers can utilize high-order meshes to achieve improved accuracy over traditional linear meshes. High order meshes are generally created by elevating linear meshes. For high Reynold’s number viscous flows, the linear mesh is tightly clustered to no-slip surfaces. For curved boundaries the high-order mesh must also curve to match the geometry curvature. An optimization-based node perturbation scheme is described that used a two-component cost function to optimize the high order mesh. The first component uses element Weighted Condition Number (WCN) to enforce element shape. The second component uses a normalized Jacobian to enforce element size and validity. The method is applied to several complex linear meshes with highly curved boundaries and tightly clustered normal spacing.

Original language	English
Title of host publication	27th International Meshing Roundtable
Editors	Xevi Roca, Adrien Loseille
Publisher	Springer Verlag
Pages	303-325
Number of pages	23
ISBN (Print)	9783030139919
DOIs	https://doi.org/10.1007/978-3-030-13992-6_17
State	Published - 2019
Externally published	Yes
Event	27th International Meshing Roundtable, IMR 2018 - Albuquerque, United States Duration: Oct 1 2018 → Oct 5 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	127
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	27th International Meshing Roundtable, IMR 2018
Country/Territory	United States
City	Albuquerque
Period	10/1/18 → 10/5/18

Funding

This work was partially supported by a NASA SBIR contract “High Order Mesh Curving and Geometry Access”, Phase I contract NNX17CL83P and Phase II contract 80NSSC18C0109. NASA’s support is greatly appreciated. Acknowledgement This work was partially supported by a NASA SBIR contract “High Order Mesh Curving and Geometry Access”, Phase I contract NNX17CL83P and Phase II contract 80NSSC18C0109. NASA’s support is greatly appreciated.

Keywords

High order meshes
Mesh curving
Viscous meshes

Access to Document

10.1007/978-3-030-13992-6_17

Cite this

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title = "Curving for viscous meshes",

abstract = "Finite-element flow solvers can utilize high-order meshes to achieve improved accuracy over traditional linear meshes. High order meshes are generally created by elevating linear meshes. For high Reynold{\textquoteright}s number viscous flows, the linear mesh is tightly clustered to no-slip surfaces. For curved boundaries the high-order mesh must also curve to match the geometry curvature. An optimization-based node perturbation scheme is described that used a two-component cost function to optimize the high order mesh. The first component uses element Weighted Condition Number (WCN) to enforce element shape. The second component uses a normalized Jacobian to enforce element size and validity. The method is applied to several complex linear meshes with highly curved boundaries and tightly clustered normal spacing.",

keywords = "High order meshes, Mesh curving, Viscous meshes",

author = "Karman, \{Steve L.\}",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 27th International Meshing Roundtable, IMR 2018 ; Conference date: 01-10-2018 Through 05-10-2018",

year = "2019",

doi = "10.1007/978-3-030-13992-6\_17",

language = "English",

isbn = "9783030139919",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

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booktitle = "27th International Meshing Roundtable",

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T1 - Curving for viscous meshes

AU - Karman, Steve L.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2019.

PY - 2019

Y1 - 2019

N2 - Finite-element flow solvers can utilize high-order meshes to achieve improved accuracy over traditional linear meshes. High order meshes are generally created by elevating linear meshes. For high Reynold’s number viscous flows, the linear mesh is tightly clustered to no-slip surfaces. For curved boundaries the high-order mesh must also curve to match the geometry curvature. An optimization-based node perturbation scheme is described that used a two-component cost function to optimize the high order mesh. The first component uses element Weighted Condition Number (WCN) to enforce element shape. The second component uses a normalized Jacobian to enforce element size and validity. The method is applied to several complex linear meshes with highly curved boundaries and tightly clustered normal spacing.

AB - Finite-element flow solvers can utilize high-order meshes to achieve improved accuracy over traditional linear meshes. High order meshes are generally created by elevating linear meshes. For high Reynold’s number viscous flows, the linear mesh is tightly clustered to no-slip surfaces. For curved boundaries the high-order mesh must also curve to match the geometry curvature. An optimization-based node perturbation scheme is described that used a two-component cost function to optimize the high order mesh. The first component uses element Weighted Condition Number (WCN) to enforce element shape. The second component uses a normalized Jacobian to enforce element size and validity. The method is applied to several complex linear meshes with highly curved boundaries and tightly clustered normal spacing.

KW - High order meshes

KW - Mesh curving

KW - Viscous meshes

UR - https://www.scopus.com/pages/publications/85069225334

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DO - 10.1007/978-3-030-13992-6_17

M3 - Conference contribution

AN - SCOPUS:85069225334

SN - 9783030139919

T3 - Lecture Notes in Computational Science and Engineering

SP - 303

EP - 325

BT - 27th International Meshing Roundtable

A2 - Roca, Xevi

A2 - Loseille, Adrien

PB - Springer Verlag

T2 - 27th International Meshing Roundtable, IMR 2018

Y2 - 1 October 2018 through 5 October 2018

ER -

Curving for viscous meshes

Abstract

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Keywords

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