A Cartesian grid method for viscous incompressible flows with complex immersed boundaries

T. Ye; R. Mittal; H. S. Udaykumar; W. Shyy

doi:10.2514/6.1999-3312

A Cartesian grid method for viscous incompressible flows with complex immersed boundaries

T. Ye, R. Mittal, H. S. Udaykumar, W. Shyy

Research output: Contribution to conference › Conference Paper › peer-review

3 Citations (Scopus)

Abstract

A Cartesian-grid method has been developed for simulating unsteady, viscous, incompressible flows with complex immersed boundaries. A finite-volume method based on. a second-order accurate central-difference scheme is used in conjunction with a two-step fractional-step procedure. A new interpolation procedure for accurate discretization of the governing equation in cells that are’ cut by immersed boundaries is presented which preserves the second-order spatial accuracy of the underlying solver. The convergence of the pressure Poisson equation is accelerated by using a preconditioned conjugate gradient method where the preconditioner takes advantage of the structured nature of the underlying mesh. The accuracy and fidelity of the solver is validated by simulating a number of canonical flows and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.

Original language	English
Pages	547-557
Number of pages	11
DOIs	https://doi.org/10.2514/6.1999-3312
Publication status	Published - 1999
Externally published	Yes
Event	14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States Duration: 1 Nov 1999 → 5 Nov 1999

Conference

Conference	14th Computational Fluid Dynamics Conference, 1999
Country/Territory	United States
City	Norfolk
Period	1/11/99 → 5/11/99

Bibliographical note

Publisher Copyright:
© 1999 The American Institute of Aeronautics and Astronautics Inc. All rights reserved.

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10.2514/6.1999-3312

Cite this

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title = "A Cartesian grid method for viscous incompressible flows with complex immersed boundaries",

abstract = "A Cartesian-grid method has been developed for simulating unsteady, viscous, incompressible flows with complex immersed boundaries. A finite-volume method based on. a second-order accurate central-difference scheme is used in conjunction with a two-step fractional-step procedure. A new interpolation procedure for accurate discretization of the governing equation in cells that are{\textquoteright} cut by immersed boundaries is presented which preserves the second-order spatial accuracy of the underlying solver. The convergence of the pressure Poisson equation is accelerated by using a preconditioned conjugate gradient method where the preconditioner takes advantage of the structured nature of the underlying mesh. The accuracy and fidelity of the solver is validated by simulating a number of canonical flows and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.",

author = "T. Ye and R. Mittal and Udaykumar, \{H. S.\} and W. Shyy",

note = "Publisher Copyright: {\textcopyright} 1999 The American Institute of Aeronautics and Astronautics Inc. All rights reserved.; 14th Computational Fluid Dynamics Conference, 1999 ; Conference date: 01-11-1999 Through 05-11-1999",

year = "1999",

doi = "10.2514/6.1999-3312",

language = "English",

pages = "547--557",

}

TY - CONF

T1 - A Cartesian grid method for viscous incompressible flows with complex immersed boundaries

AU - Ye, T.

AU - Mittal, R.

AU - Udaykumar, H. S.

AU - Shyy, W.

PY - 1999

Y1 - 1999

N2 - A Cartesian-grid method has been developed for simulating unsteady, viscous, incompressible flows with complex immersed boundaries. A finite-volume method based on. a second-order accurate central-difference scheme is used in conjunction with a two-step fractional-step procedure. A new interpolation procedure for accurate discretization of the governing equation in cells that are’ cut by immersed boundaries is presented which preserves the second-order spatial accuracy of the underlying solver. The convergence of the pressure Poisson equation is accelerated by using a preconditioned conjugate gradient method where the preconditioner takes advantage of the structured nature of the underlying mesh. The accuracy and fidelity of the solver is validated by simulating a number of canonical flows and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.

AB - A Cartesian-grid method has been developed for simulating unsteady, viscous, incompressible flows with complex immersed boundaries. A finite-volume method based on. a second-order accurate central-difference scheme is used in conjunction with a two-step fractional-step procedure. A new interpolation procedure for accurate discretization of the governing equation in cells that are’ cut by immersed boundaries is presented which preserves the second-order spatial accuracy of the underlying solver. The convergence of the pressure Poisson equation is accelerated by using a preconditioned conjugate gradient method where the preconditioner takes advantage of the structured nature of the underlying mesh. The accuracy and fidelity of the solver is validated by simulating a number of canonical flows and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.

UR - https://openalex.org/W2313727485

UR - https://www.scopus.com/pages/publications/84983128002

U2 - 10.2514/6.1999-3312

DO - 10.2514/6.1999-3312

M3 - Conference Paper

SP - 547

EP - 557

T2 - 14th Computational Fluid Dynamics Conference, 1999

Y2 - 1 November 1999 through 5 November 1999

ER -

A Cartesian grid method for viscous incompressible flows with complex immersed boundaries

Abstract

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