Efficient pseudo-spectral solvers for the PKN model of hydrofracturing

Michał Wróbel; Gennady Mishuris

doi:10.1007/s10704-013-9847-y

Efficient pseudo-spectral solvers for the PKN model of hydrofracturing

Michał Wróbel, Gennady Mishuris

Adran Ffiseg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

11 Dyfyniadau (Scopus)

Crynodeb

In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate significant cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various fluid flow regimes are considered.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	151-170
Nifer y tudalennau	19
Cyfnodolyn	International Journal of Fracture
Cyfrol	184
Rhif cyhoeddi	1-2
Dyddiad ar-lein cynnar	02 Ebr 2013
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s10704-013-9847-y
Statws	Cyhoeddwyd - Tach 2013

Mynediad at Ddogfen

10.1007/s10704-013-9847-y

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

http://hdl.handle.net/2160/9284

Dyfynnu hyn

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title = "Efficient pseudo-spectral solvers for the PKN model of hydrofracturing",

abstract = "In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate significant cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various fluid flow regimes are considered.",

keywords = "Hydrofracturing, PKN model, Numerical modelling",

author = "Micha{\l} Wr{\'o}bel and Gennady Mishuris",

year = "2013",

month = nov,

doi = "10.1007/s10704-013-9847-y",

language = "English",

volume = "184",

pages = "151--170",

journal = "International Journal of Fracture",

issn = "0376-9429",

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AU - Wróbel, Michał

AU - Mishuris, Gennady

PY - 2013/11

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N2 - In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate significant cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various fluid flow regimes are considered.

AB - In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate significant cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various fluid flow regimes are considered.

KW - Hydrofracturing

KW - PKN model

KW - Numerical modelling

UR - http://hdl.handle.net/2160/9284

U2 - 10.1007/s10704-013-9847-y

DO - 10.1007/s10704-013-9847-y

M3 - Article

SN - 0376-9429

VL - 184

SP - 151

EP - 170

JO - International Journal of Fracture

JF - International Journal of Fracture

IS - 1-2

ER -

Efficient pseudo-spectral solvers for the PKN model of hydrofracturing

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Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

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