Boundary element methods for highly convective unsteady flows

G. F. Dargush; M. M. Grigoriev

doi:10.1016/B978-008044046-0.50216-5

Boundary element methods for highly convective unsteady flows

G. F. Dargush
, M. M. Grigoriev

Department of Mechanical and Aerospace Engineering

SUNY Buffalo

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

Abstract

Higher-order boundary element methods (BEM) are presented for time-dependent convective diffusion in two dimensions. The time-dependent convective diffusion free-space fundamental solutions originally proposed by Carslaw and Jaeger are used to obtain the boundary integral formulation. For the linear, quadratic and quartic time interpolation functions considered in this paper, BEM solutions up to the Péclet number 10⁶ are obtained for a problem of unsteady convection-diffusion that possesses an exact solution. An extremely high accuracy of the BEM solutions for highly convective flows is demonstrated. Moreover, it is shown that the use of time-dependent convective kernels provide an automatic upwinding for the entire range of Péclet numbers and also lead to very efficient algorithms as the Péclet number increases.

Original language	English
Title of host publication	Computational Fluid and Solid Mechanics 2003
Publisher	Elsevier Inc.
Pages	882-885
Number of pages	4
ISBN (Electronic)	9780080529479
ISBN (Print)	9780080440460
DOIs	https://doi.org/10.1016/B978-008044046-0.50216-5
State	Published - Jun 2 2003

Keywords

Boundary element methods
Integral equation
Unsteady convective diffusion

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10.1016/B978-008044046-0.50216-5

Cite this

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abstract = "Higher-order boundary element methods (BEM) are presented for time-dependent convective diffusion in two dimensions. The time-dependent convective diffusion free-space fundamental solutions originally proposed by Carslaw and Jaeger are used to obtain the boundary integral formulation. For the linear, quadratic and quartic time interpolation functions considered in this paper, BEM solutions up to the P{\'e}clet number 106 are obtained for a problem of unsteady convection-diffusion that possesses an exact solution. An extremely high accuracy of the BEM solutions for highly convective flows is demonstrated. Moreover, it is shown that the use of time-dependent convective kernels provide an automatic upwinding for the entire range of P{\'e}clet numbers and also lead to very efficient algorithms as the P{\'e}clet number increases.",

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T1 - Boundary element methods for highly convective unsteady flows

AU - Dargush, G. F.

AU - Grigoriev, M. M.

PY - 2003/6/2

Y1 - 2003/6/2

N2 - Higher-order boundary element methods (BEM) are presented for time-dependent convective diffusion in two dimensions. The time-dependent convective diffusion free-space fundamental solutions originally proposed by Carslaw and Jaeger are used to obtain the boundary integral formulation. For the linear, quadratic and quartic time interpolation functions considered in this paper, BEM solutions up to the Péclet number 106 are obtained for a problem of unsteady convection-diffusion that possesses an exact solution. An extremely high accuracy of the BEM solutions for highly convective flows is demonstrated. Moreover, it is shown that the use of time-dependent convective kernels provide an automatic upwinding for the entire range of Péclet numbers and also lead to very efficient algorithms as the Péclet number increases.

AB - Higher-order boundary element methods (BEM) are presented for time-dependent convective diffusion in two dimensions. The time-dependent convective diffusion free-space fundamental solutions originally proposed by Carslaw and Jaeger are used to obtain the boundary integral formulation. For the linear, quadratic and quartic time interpolation functions considered in this paper, BEM solutions up to the Péclet number 106 are obtained for a problem of unsteady convection-diffusion that possesses an exact solution. An extremely high accuracy of the BEM solutions for highly convective flows is demonstrated. Moreover, it is shown that the use of time-dependent convective kernels provide an automatic upwinding for the entire range of Péclet numbers and also lead to very efficient algorithms as the Péclet number increases.

KW - Boundary element methods

KW - Integral equation

KW - Unsteady convective diffusion

UR - https://www.scopus.com/pages/publications/84941711806

U2 - 10.1016/B978-008044046-0.50216-5

DO - 10.1016/B978-008044046-0.50216-5

M3 - Chapter

AN - SCOPUS:84941711806

SN - 9780080440460

SP - 882

EP - 885

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -

Boundary element methods for highly convective unsteady flows

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Keywords

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