TY - JOUR
T1 - Lagrangian numerical methods for ocean biogeochemical simulations
AU - Paparella, Francesco
AU - Popolizio, Marina
N1 - Funding Information:
Part of this work was funded by Università del Salento through “Progetto 5xmille per la Ricerca”. We have benefited from discussions with Zouhair Lachkar, Olivier Paulis and Marcello Vichi. We are indebted to Clare Eayrs, Marina Levi and Shafer Smith who read and commented on earlier drafts of the paper.
Publisher Copyright:
© 2018 Elsevier Inc.
PY - 2018/5/1
Y1 - 2018/5/1
N2 - 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.
AB - 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.
KW - Advection reaction diffusion
KW - Lagrangian methods
KW - Ocean biogeochemistry
KW - Unresolved flows
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U2 - 10.1016/j.jcp.2018.01.031
DO - 10.1016/j.jcp.2018.01.031
M3 - Article
AN - SCOPUS:85042322999
SN - 0021-9991
VL - 360
SP - 229
EP - 246
JO - Journal of Computational Physics
JF - Journal of Computational Physics
ER -