Vertical discretization in tidal flow simulations

André B. Fortunato, Antonio Baptista

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We propose an empirical law for vertical nodal placement in tidal simulations that depends on a single parameter p. The influence of dimensionless numbers on the optimal value of p is analysed through a series of numerical experiments for an individual vertical and a single value of p is found to be adequate for all cases. The proposed law can lead to gains in accuracy of over two orders of magnitude relative to a uniform grid and compares favourably with non-uniform grids previously used in the literature. In practical applications the most effective use of this law may require each vertical to have a different number of nodes. Criteria for the distribution of the total number of nodes among different verticals are also proposed, based on the concept of equalizing errors across the domain. The usefulness of the overall approach is demonstrated through a two-dimensional laterally averaged application to a synthetic estuary.

Original languageEnglish (US)
Pages (from-to)815-834
Number of pages20
JournalInternational Journal for Numerical Methods in Fluids
Volume22
Issue number9
StatePublished - May 15 1996

Fingerprint

Flow simulation
Flow Simulation
Discretization
Vertical
Estuaries
grids
dimensionless numbers
estuaries
simulation
Non-uniform Grid
Vertex of a graph
Dimensionless
Placement
Experiments
Numerical Experiment
Grid
Series
Simulation

Keywords

  • Localized sigma co-ordinates
  • Numerical experimentation
  • Sigma co-ordinates
  • Tidal flow
  • Vertical discretization

ASJC Scopus subject areas

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

Cite this

Vertical discretization in tidal flow simulations. / Fortunato, André B.; Baptista, Antonio.

In: International Journal for Numerical Methods in Fluids, Vol. 22, No. 9, 15.05.1996, p. 815-834.

Research output: Contribution to journalArticle

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