GMRES solution of the mild-slope equation on quadtree grids

A. G L Borthwick; Ka Fai Cedric Yiu; K. Anastasiou

GMRES solution of the mild-slope equation on quadtree grids

A. G L Borthwick, Ka Fai Cedric Yiu, K. Anastasiou

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

2 Citations (Scopus)

Abstract

The modified mild-slope equation derived by Kirby (1984) may be used to predict the coastal wave climate in the presence of currents, including the effects of refraction, diffraction, shoaling and reflection. Here, the modified mild-slope equation is discretized using finite volumes on rectangular hierarchical quadtree grids, and solved by the GMRES conjugate gradient technique. Results are presented for regular waves passing over Berkhoff et al.s (1982) elliptic shoal.

Original language	English
Title of host publication	Proceedings, Congress of the International Association of Hydraulic Research, IAHR
Publisher	ASCE
Pages	1322-1327
Number of pages	6
Publication status	Published - 1 Jan 1997
Externally published	Yes
Event	Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part D - San Francisco, CA, United States Duration: 10 Aug 1997 → 15 Aug 1997

Conference

Conference	Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part D
Country/Territory	United States
City	San Francisco, CA
Period	10/08/97 → 15/08/97

ASJC Scopus subject areas

General Engineering

Cite this

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title = "GMRES solution of the mild-slope equation on quadtree grids",

abstract = "The modified mild-slope equation derived by Kirby (1984) may be used to predict the coastal wave climate in the presence of currents, including the effects of refraction, diffraction, shoaling and reflection. Here, the modified mild-slope equation is discretized using finite volumes on rectangular hierarchical quadtree grids, and solved by the GMRES conjugate gradient technique. Results are presented for regular waves passing over Berkhoff et al.s (1982) elliptic shoal.",

author = "Borthwick, {A. G L} and Yiu, {Ka Fai Cedric} and K. Anastasiou",

year = "1997",

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booktitle = "Proceedings, Congress of the International Association of Hydraulic Research, IAHR",

publisher = "ASCE",

address = "United States",

note = "Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part D ; Conference date: 10-08-1997 Through 15-08-1997",

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GMRES solution of the mild-slope equation on quadtree grids. / Borthwick, A. G L; Yiu, Ka Fai Cedric; Anastasiou, K.
Proceedings, Congress of the International Association of Hydraulic Research, IAHR. ASCE, 1997. p. 1322-1327.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

TY - GEN

T1 - GMRES solution of the mild-slope equation on quadtree grids

AU - Borthwick, A. G L

AU - Yiu, Ka Fai Cedric

AU - Anastasiou, K.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The modified mild-slope equation derived by Kirby (1984) may be used to predict the coastal wave climate in the presence of currents, including the effects of refraction, diffraction, shoaling and reflection. Here, the modified mild-slope equation is discretized using finite volumes on rectangular hierarchical quadtree grids, and solved by the GMRES conjugate gradient technique. Results are presented for regular waves passing over Berkhoff et al.s (1982) elliptic shoal.

AB - The modified mild-slope equation derived by Kirby (1984) may be used to predict the coastal wave climate in the presence of currents, including the effects of refraction, diffraction, shoaling and reflection. Here, the modified mild-slope equation is discretized using finite volumes on rectangular hierarchical quadtree grids, and solved by the GMRES conjugate gradient technique. Results are presented for regular waves passing over Berkhoff et al.s (1982) elliptic shoal.

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M3 - Conference article published in proceeding or book

SP - 1322

EP - 1327

BT - Proceedings, Congress of the International Association of Hydraulic Research, IAHR

PB - ASCE

T2 - Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part D

Y2 - 10 August 1997 through 15 August 1997

ER -

GMRES solution of the mild-slope equation on quadtree grids

Abstract

Conference

ASJC Scopus subject areas

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