Lagrangian numerical methods for ocean biogeochemical simulations

Francesco Paparella, Marina Popolizio

Research output: Contribution to journalArticle

Abstract

We propose two closely-related Lagrangian numerical methods for the simulation of physical processes involving advection, reaction and diffusion. The methods are intended to be used in settings where the flow is nearly incompressible and the Péclet numbers are so high that resolving all the scales of motion is unfeasible. This is commonplace in ocean flows. Our methods consist in augmenting the method of characteristics, which is suitable for advection–reaction problems, with couplings among nearby particles, producing fluxes that mimic diffusion, or unresolved small-scale transport. The methods conserve mass, obey the maximum principle, and allow to tune the strength of the diffusive terms down to zero, while avoiding unwanted numerical dissipation effects.

Original languageEnglish (US)
Pages (from-to)229-246
Number of pages18
JournalJournal of Computational Physics
Volume360
DOIs
StatePublished - May 1 2018

Fingerprint

Numerical methods
oceans
maximum principle
method of characteristics
Maximum principle
Advection
flux (rate)
advection
dissipation
simulation
Fluxes

Keywords

  • Advection reaction diffusion
  • Lagrangian methods
  • Ocean biogeochemistry
  • Unresolved flows

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

Cite this

Lagrangian numerical methods for ocean biogeochemical simulations. / Paparella, Francesco; Popolizio, Marina.

In: Journal of Computational Physics, Vol. 360, 01.05.2018, p. 229-246.

Research output: Contribution to journalArticle

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