Estimates of errors arising in the computation of forces acting on rigid bodies in Stokes and potential flows due to variations in geometry

E. Gavze

Estimates of errors arising in the computation of forces acting on rigid bodies in Stokes and potential flows due to variations in geometry

Fredy & Nadine Herrmann Institute of Earth Sciences

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

Abstract

The application of the BEM to the determination of forces acting on rigid bodies in Stokes or potential flows is considered analytically, with a focus on errors due to nonconformity of the elements to the shape of the body. The implications of the theory developed by Hill and Power (1956) are explored, and the derivation of the Stokes resistance tensors and hydrodynamic inertia tensors is given in detail.

Original language	American English
Title of host publication	Boundary elements X
Subtitle of host publication	Proceedings of the Tenth International Conference on Boundary Element Methods
Place of Publication	Southampton, England/New York
Publisher	Comput. Mech. Publications
Pages	147-159
Number of pages	13
Volume	1
State	Published - 1988

Keywords

Boundary Element Method
Error Analysis
Potential Flow
Rigid Structures
Stokes Flow
Submerged Bodies
Flow Geometry
Grid Generation (Mathematics)
Tensor Analysis
Fluid Mechanics and Heat Transfer

Cite this

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title = "Estimates of errors arising in the computation of forces acting on rigid bodies in Stokes and potential flows due to variations in geometry",

abstract = "The application of the BEM to the determination of forces acting on rigid bodies in Stokes or potential flows is considered analytically, with a focus on errors due to nonconformity of the elements to the shape of the body. The implications of the theory developed by Hill and Power (1956) are explored, and the derivation of the Stokes resistance tensors and hydrodynamic inertia tensors is given in detail.",

keywords = "Boundary Element Method, Error Analysis, Potential Flow, Rigid Structures, Stokes Flow, Submerged Bodies, Flow Geometry, Grid Generation (Mathematics), Tensor Analysis, Fluid Mechanics and Heat Transfer",

author = "E. Gavze",

year = "1988",

language = "American English",

volume = "1",

pages = "147--159",

booktitle = "Boundary elements X",

publisher = "Comput. Mech. Publications",

}

Estimates of errors arising in the computation of forces acting on rigid bodies in Stokes and potential flows due to variations in geometry. / Gavze, E.
Boundary elements X: Proceedings of the Tenth International Conference on Boundary Element Methods. Vol. 1 Southampton, England/New York: Comput. Mech. Publications, 1988. p. 147-159.

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

TY - GEN

T1 - Estimates of errors arising in the computation of forces acting on rigid bodies in Stokes and potential flows due to variations in geometry

AU - Gavze, E.

PY - 1988

Y1 - 1988

N2 - The application of the BEM to the determination of forces acting on rigid bodies in Stokes or potential flows is considered analytically, with a focus on errors due to nonconformity of the elements to the shape of the body. The implications of the theory developed by Hill and Power (1956) are explored, and the derivation of the Stokes resistance tensors and hydrodynamic inertia tensors is given in detail.

AB - The application of the BEM to the determination of forces acting on rigid bodies in Stokes or potential flows is considered analytically, with a focus on errors due to nonconformity of the elements to the shape of the body. The implications of the theory developed by Hill and Power (1956) are explored, and the derivation of the Stokes resistance tensors and hydrodynamic inertia tensors is given in detail.

KW - Boundary Element Method

KW - Error Analysis

KW - Potential Flow

KW - Rigid Structures

KW - Stokes Flow

KW - Submerged Bodies

KW - Flow Geometry

KW - Grid Generation (Mathematics)

KW - Tensor Analysis

KW - Fluid Mechanics and Heat Transfer

UR - https://ui.adsabs.harvard.edu/abs/1988bex.....1..147G/abstract

M3 - Conference contribution

VL - 1

SP - 147

EP - 159

BT - Boundary elements X

PB - Comput. Mech. Publications

CY - Southampton, England/New York

ER -

Estimates of errors arising in the computation of forces acting on rigid bodies in Stokes and potential flows due to variations in geometry

Abstract

Keywords

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