Can I read Bifurcation Analysis of Brown Tide in Tidal Flow Using Finite Element Method on EtoBox?

Bifurcation Analysis of Brown Tide in Tidal Flow Using Finite Element Method by Mutsuto Kawahara; Yan Ding is a Engineering article available to read on EtoBox.

What is Bifurcation Analysis of Brown Tide in Tidal Flow Using Finite Element Method about?

In this paper, we analyze tbe bifurcation of a biodynamics system in a two-dimensional domain by virtue of reaction-diffusion equations and discuss the influence of tidal flow on stability of a brown tide. The discretization method in space is the finite element method, The computational algorithm for an eigenspectrum is described in detail. On the basis of an analysis of eigenspectra according to Hehnholtz's equation, the discrete spectra in regards to the physical variables are numerically obtained in two-dimensional space. In order to investigate this ma~ema~cal model in regards to its practical use. we analysed the stability of two cases, i.e. hydranth ~gene~tion in the marine hydroid Tubuluria and a brown tide in a harbor in Japan. By evaluating the stability according to the linearized stability definition, the critical parameters for outbreaks of brown tide can be theoretically determined. In addition, results for the linear combination of eigenspectrum coincide with the distribution of the observed brown tide. Its periodic characteristic was also verified. \* Co~esponding author.

Who reads Bifurcation Analysis of Brown Tide in Tidal Flow Using Finite Element Method?

Author

Mutsuto Kawahara; Yan Ding

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0045-7825)

Published

1998

Field

Engineering (Physical Sciences)