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A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines

Pieter Rauwoens, Peter Troch UGent and Jan Vierendeels UGent (2015) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 289. p.22-36
abstract
A recently developed multigrid method (Botto, 2013), based on the concept of volume fraction, has been tested for the inversion of the Helmholz-type equation for the free surface in the environmental public domain code COHERENS. The volume fraction concept is particularly interesting for coarse grid cells that are agglomerated from both dry and wet fine grid cells at irregular coastlines. At these locations, modifying the prolongation operator and the coarse grid discretization, using the volume fraction, results in better convergence. However, as convergence deteriorates in the case of small, elongated islands that tend to disappear by the multigrid coarsening procedure, a correction is proposed, yielding good convergence rates, irrespective of the presence of small or large islands. The method is tested extensively for the inversion of the academic Poisson equation. Larger test cases, solving the Helmholz-type equation, prove the applicability for real-life applications of environmental flows
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
DOMAINS
journal title
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
J. Comput. Appl. Math.
volume
289
pages
22 - 36
publisher
ELSEVIER SCIENCE BV
place of publication
AMSTERDAM
Web of Science type
Article
Web of Science id
000356733900003
JCR category
MATHEMATICS, APPLIED
JCR impact factor
1.328 (2015)
JCR rank
55/254 (2015)
JCR quartile
1 (2015)
ISSN
0377-0427
DOI
10.1016/j.cam.2015.03.029
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
7195510
handle
http://hdl.handle.net/1854/LU-7195510
date created
2016-04-26 09:43:02
date last changed
2017-01-02 09:55:13
@article{7195510,
  abstract     = {A recently developed multigrid method (Botto, 2013), based on the concept of volume fraction, has been tested for the inversion of the Helmholz-type equation for the free surface in the environmental public domain code COHERENS. The volume fraction concept is particularly interesting for coarse grid cells that are agglomerated from both dry and wet fine grid cells at irregular coastlines. At these locations, modifying the prolongation operator and the coarse grid discretization, using the volume fraction, results in better convergence. However, as convergence deteriorates in the case of small, elongated islands that tend to disappear by the multigrid coarsening procedure, a correction is proposed, yielding good convergence rates, irrespective of the presence of small or large islands. The method is tested extensively for the inversion of the academic Poisson equation. Larger test cases, solving the Helmholz-type equation, prove the applicability for real-life applications of environmental flows},
  author       = {Rauwoens, Pieter and Troch, Peter and Vierendeels, Jan},
  issn         = {0377-0427},
  journal      = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
  keyword      = {DOMAINS},
  language     = {eng},
  pages        = {22--36},
  publisher    = {ELSEVIER SCIENCE BV},
  title        = {A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines},
  url          = {http://dx.doi.org/10.1016/j.cam.2015.03.029},
  volume       = {289},
  year         = {2015},
}

Chicago
Rauwoens, Pieter, Peter Troch, and Jan Vierendeels. 2015. “A Geometric Multigrid Solver for the Free-surface Equation in Environmental Models Featuring Irregular Coastlines.” Journal of Computational and Applied Mathematics 289: 22–36.
APA
Rauwoens, Pieter, Troch, P., & Vierendeels, J. (2015). A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 289, 22–36.
Vancouver
1.
Rauwoens P, Troch P, Vierendeels J. A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. AMSTERDAM: ELSEVIER SCIENCE BV; 2015;289:22–36.
MLA
Rauwoens, Pieter, Peter Troch, and Jan Vierendeels. “A Geometric Multigrid Solver for the Free-surface Equation in Environmental Models Featuring Irregular Coastlines.” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 289 (2015): 22–36. Print.