A nonconforming spectral element ocean model

Julia G. Levin, Mohamed Iskandarani, Dale B. Haidvogel

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

A nonconforming spectral element ocean model, which allows a combination of higher- and lower-order elements in a single formulation, is presented. The choice between the order of interpolating polynomials and the number of elements can be adjusted locally in a subregion of a domain, based on the geometric and dynamic properties of a solution. High-order elements are applied in regions with smooth properties and achieve high-order convergence rates. In the regions where smoothness of the solution is limited and/or geometric requirements are complex, low-order elements are used. This paper presents a nonconforming spectral element method based on mortar elements. Convergence of the method is analyzed using several elliptic and hyperbolic test problems in two and three dimensions. To test the method, a study of wave propagation through a nonconforming interface for two problems in a realistic geometry is also presented. Copyright (C) 2000 John Wiley and Sons, Ltd.

Original languageEnglish (US)
Pages (from-to)495-525
Number of pages31
JournalInternational Journal for Numerical Methods in Fluids
Volume34
Issue number6
DOIs
StatePublished - Nov 2000
Externally publishedYes

Fingerprint

Spectral Elements
ocean models
Mortar
Ocean
Wave propagation
Element Order
Polynomials
Geometry
dynamic characteristics
Higher-order Elements
Spectral Element Method
wave propagation
polynomials
Hyperbolic Problems
Dynamic Properties
formulations
requirements
Wave Propagation
Test Problems
Three-dimension

Keywords

  • Mortar elements
  • Nonconforming methods
  • Ocean modeling

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials

Cite this

A nonconforming spectral element ocean model. / Levin, Julia G.; Iskandarani, Mohamed; Haidvogel, Dale B.

In: International Journal for Numerical Methods in Fluids, Vol. 34, No. 6, 11.2000, p. 495-525.

Research output: Contribution to journalArticle

Levin, Julia G. ; Iskandarani, Mohamed ; Haidvogel, Dale B. / A nonconforming spectral element ocean model. In: International Journal for Numerical Methods in Fluids. 2000 ; Vol. 34, No. 6. pp. 495-525.
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