Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury

Wensheng Shen; Jun Zhang; Fuqian Yang

Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury

Wensheng Shen, Jun Zhang, Fuqian Yang

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

Abstract

The transient heat and mass transfer in skin is investigated numerically using a finite difference method. Based on the skin physical structure, a three-dimensional multilayer model is developed and the governing equation is discretized using the Crank-Nicholson scheme. The resulting sparse linear system is solved by the generalized minimum residual method with an incomplete lower upper factorization with threshold (ILUT) preconditioner. The performance of the incomplete lower upper triangular factorization (ILUT) preconditioner is evaluated for different thresholds, solvers, and mesh sizes.

Original language	English
Title of host publication	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages	1175-1178
Number of pages	4
State	Published - 2005
Event	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States Duration: Jun 14 2005 → Jun 17 2005

Publication series

Name	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Conference

Conference	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Country/Territory	United States
City	Boston, MA
Period	6/14/05 → 6/17/05

Keywords

Bioheat and mass transfer
Crank-Nicholson scheme
ILUT preconditioning
Iterative method
Numerical modeling
Thermal injury

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Computational Mathematics

Cite this

@inproceedings{4218c94dd533466d94542d0cf5cfbf82,

title = "Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury",

abstract = "The transient heat and mass transfer in skin is investigated numerically using a finite difference method. Based on the skin physical structure, a three-dimensional multilayer model is developed and the governing equation is discretized using the Crank-Nicholson scheme. The resulting sparse linear system is solved by the generalized minimum residual method with an incomplete lower upper factorization with threshold (ILUT) preconditioner. The performance of the incomplete lower upper triangular factorization (ILUT) preconditioner is evaluated for different thresholds, solvers, and mesh sizes.",

keywords = "Bioheat and mass transfer, Crank-Nicholson scheme, ILUT preconditioning, Iterative method, Numerical modeling, Thermal injury",

author = "Wensheng Shen and Jun Zhang and Fuqian Yang",

year = "2005",

language = "English",

isbn = "0080444814",

series = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",

pages = "1175--1178",

booktitle = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",

note = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics ; Conference date: 14-06-2005 Through 17-06-2005",

}

Shen, W, Zhang, J & Yang, F 2005, Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury. in 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics. 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics, pp. 1175-1178, 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics, Boston, MA, United States, 6/14/05.

Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury. / Shen, Wensheng; Zhang, Jun; Yang, Fuqian.
3rd M.I.T. Conference on Computational Fluid and Solid Mechanics. 2005. p. 1175-1178 (3rd M.I.T. Conference on Computational Fluid and Solid Mechanics).

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

TY - GEN

T1 - Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury

AU - Shen, Wensheng

AU - Zhang, Jun

AU - Yang, Fuqian

PY - 2005

Y1 - 2005

N2 - The transient heat and mass transfer in skin is investigated numerically using a finite difference method. Based on the skin physical structure, a three-dimensional multilayer model is developed and the governing equation is discretized using the Crank-Nicholson scheme. The resulting sparse linear system is solved by the generalized minimum residual method with an incomplete lower upper factorization with threshold (ILUT) preconditioner. The performance of the incomplete lower upper triangular factorization (ILUT) preconditioner is evaluated for different thresholds, solvers, and mesh sizes.

AB - The transient heat and mass transfer in skin is investigated numerically using a finite difference method. Based on the skin physical structure, a three-dimensional multilayer model is developed and the governing equation is discretized using the Crank-Nicholson scheme. The resulting sparse linear system is solved by the generalized minimum residual method with an incomplete lower upper factorization with threshold (ILUT) preconditioner. The performance of the incomplete lower upper triangular factorization (ILUT) preconditioner is evaluated for different thresholds, solvers, and mesh sizes.

KW - Bioheat and mass transfer

KW - Crank-Nicholson scheme

KW - ILUT preconditioning

KW - Iterative method

KW - Numerical modeling

KW - Thermal injury

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M3 - Conference contribution

AN - SCOPUS:80053442063

SN - 0080444814

SN - 9780080444819

T3 - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

SP - 1175

EP - 1178

BT - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

T2 - 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Y2 - 14 June 2005 through 17 June 2005

ER -

Performance of ILUT preconditioners in modeling bioheat and mass transfer in skin thermal injury

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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