Zobrazeno 1 - 10
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pro vyhledávání: '"N. R. McDonald"'
Autor:
N. R. McDonald
Publikováno v:
Journal of Statistical Physics. 178:763-774
Solutions are found for the growth of infinitesimally thin, two-dimensional fingers governed by Poisson’s equation in a long strip. The analytical results determine the asymptotic paths selected by the fingers which compare well with the recent num
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::111e37a80faddcd6cbd57332312ce42c
https://doi.org/10.1007/s10955-019-02454-6
https://doi.org/10.1007/s10955-019-02454-6
Publikováno v:
Journal of Physical Oceanography. 47:1021-1041
A simple quasigeostrophic model is used to examine the outflow from a river, estuary, or strait into a coastal ocean. As shown by Johnson et al., these quasigeostrophic outflows are accurately described by analytical long-wave solutions. This paper f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed30d658ff931f4a5b69ee6802999738
https://doi.org/10.1175/jpo-d-16-0070.1
https://doi.org/10.1175/jpo-d-16-0070.1
Autor:
N. R. McDonald
Publikováno v:
Physical review. E. 101(1-1)
A numerical procedure based on the Schwarz-Christoffel map suitable for the study of the Laplacian growth of thin two-dimensional protrusions is presented. The protrusions take the form of either straight needles or curved fingers satisfying Loewner'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::990a5b0291fb0f2c377b0fd8d017041b
https://pubmed.ncbi.nlm.nih.gov/32069619
https://pubmed.ncbi.nlm.nih.gov/32069619
Publikováno v:
European Journal of Applied Mathematics. 25:425-447
The behaviour of two-dimensional finite blobs of conducting viscous fluid in a Hele-Shaw cell subject to an electric field is considered. The time-dependent free boundary problem is studied both analytically using the Schwarz function of the free bou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a87988b338d0c3b5b5afa28a712714f
https://doi.org/10.1017/s0956792513000351
https://doi.org/10.1017/s0956792513000351
Publikováno v:
Journal of Computational Physics. 246:289-303
A new algorithm (VOR-MFS) is presented for the solution of a generalized Hamiltonian model of point vortex dynamics in an arbitrary two-dimensional computational domain. The VOR-MFS algorithm utilizes the method of fundamental solutions (MFS) to obta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88440dd3ec27faa1bba8e9c2d1864ec9
https://doi.org/10.1016/j.jcp.2013.03.044
https://doi.org/10.1016/j.jcp.2013.03.044
Autor:
N. R. McDonald
Publikováno v:
European Journal of Applied Mathematics. 22:517-532
An equation governing the evolution of a Hele-Shaw free boundary flow in the presence of an arbitrary external potential – generalised Hele-Shaw flow – is derived in terms of the Schwarz functiong(z,t) of the free boundary. This generalises the w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbb7cc8a25b624b4bf16bf36168a5995
https://doi.org/10.1017/s0956792511000210
https://doi.org/10.1017/s0956792511000210
Autor:
Edward R. Johnson, N. R. McDonald
Publikováno v:
Journal of Engineering Mathematics. 65:171-178
The free-boundary problem determining the shape of a layer of viscous fluid coating a substrate while draining steadily under gravity is solved analytically for substrates taking the form of a periodic array of long plates of arbitrary width and spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::949b162e1ab426cc53e13c51e3ea2b12
https://doi.org/10.1007/s10665-009-9273-3
https://doi.org/10.1007/s10665-009-9273-3
Autor:
Edward R. Johnson, N. R. McDonald
Publikováno v:
The Quarterly Journal of Mechanics and Applied Mathematics. 60:65-72
An explicit solution for a layer of fluid with constant vorticity surrounding a thin plate of finite length is obtained using elementary conformal mapping methods. In the limit of large plate length the behaviour of the solution near the ends of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c0a5cb35a8846136de6c30865ccda8b
https://doi.org/10.1093/qjmam/hbm001
https://doi.org/10.1093/qjmam/hbm001
Publikováno v:
Journal of Fluid Mechanics. 571:495-505
The scattering at a rectilinear step change in depth of a shallow-water vortex pair consisting of two patches of equal but opposite-signed vorticity is studied. Using the constants of motion, an explicit relationship is derived relating the angle of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8224a1989e5528d8cccdda766142d6c
https://doi.org/10.1017/s002211200600348x
https://doi.org/10.1017/s002211200600348x
Publikováno v:
Scopus-Elsevier
ResearcherID
ResearcherID
McDonald (1998) has studied the motion of an intense, quasi-geostrophic, equivalent-barotropic, singular vortex near an infinitely long escarpment. The present work considers the remaining cases of the motion of weak and moderate intensity singular v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::594c7a87f7a2f1fd9ce0d7f9aa7fd73b
https://doi.org/10.1017/s0022112001006115
https://doi.org/10.1017/s0022112001006115