Welkom op het expertplatform!
Dit platform verschaft informatie en kennis omtrent de WL expertisedomeinen 'hydraulica en sediment', 'havens en waterwegen', 'waterbouwkundige constructies', 'waterbeheer' en 'kustbescherming' - gaande van WL medewerkers met hun expertise, het curriculum van deze instelling, tot publicaties, projecten, data (op termijn) en evenementen waarin het WL betrokken is.
Het WL onderschrijft het belang van "open access" voor de ontsluiting van haar onderzoeksresultaten. Lees er meer over in ons openaccessbeleid.
Why the Euler scheme in particle tracking is not enough: the shallow-sea pycnocline test case
Gräwe, U.; Deleersnijder, E.; Shah, S.H.A.M.; Heemink, A.W. (2012). Why the Euler scheme in particle tracking is not enough: the shallow-sea pycnocline test case. Ocean Dynamics 62(4): 501-514. http://dx.doi.org/10.1007/s10236-012-0523-y
In: Ocean Dynamics. Springer-Verlag: Berlin; Heidelberg; New York. ISSN 1616-7341; e-ISSN 1616-7228
|  |
| Trefwoord |
|
| Author keywords |
Particle tracking; Milstein scheme; Pycnocline; Diffusion; Residence time |
| Auteurs | | Top |
- Gräwe, U.
- Deleersnijder, E.
- Shah, S.H.A.M.
- Heemink, A.W.
|
|
|
| Abstract |
During the last decades, the Euler scheme was the common “workhorse” in particle tracking, although it is the lowest-order approximation of the underlying stochastic differential equation. To convince the modelling community of the need for better methods, we have constructed a new test case that will show the shortcomings of the Euler scheme. We use an idealised shallow-water diffusivity profile that mimics the presence of a sharp pycnocline and thus a quasi-impermeable barrier to vertical diffusion. In this context, we study the transport of passive particles with or without negative buoyancy. A semi-analytic solutions is used to assess the performance of various numerical particle-tracking schemes (first- and second-order accuracy), to treat the variations in the diffusivity profile properly. We show that the commonly used Euler scheme exhibits a poor performance and that widely used particle-tracking codes shall be updated to either the Milstein scheme or second-order schemes. It is further seen that the order of convergence is not the only relevant factor, the absolute value of the error also is. |
IMIS is ontwikkeld en wordt gehost door het VLIZ.
