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71.
The flexible-order, finite difference based fully nonlinear potential flow model described in [H.B. Bingham, H. Zhang, On the accuracy of finite difference solutions for nonlinear water waves, J. Eng. Math. 58 (2007) 211–228] is extended to three dimensions (3D). In order to obtain an optimal scaling of the solution effort multigrid is employed to precondition a GMRES iterative solution of the discretized Laplace problem. A robust multigrid method based on Gauss–Seidel smoothing is found to require special treatment of the boundary conditions along solid boundaries, and in particular on the sea bottom. A new discretization scheme using one layer of grid points outside the fluid domain is presented and shown to provide convergent solutions over the full physical and discrete parameter space of interest. Linear analysis of the fundamental properties of the scheme with respect to accuracy, robustness and energy conservation are presented together with demonstrations of grid independent iteration count and optimal scaling of the solution effort. Calculations are made for 3D nonlinear wave problems for steep nonlinear waves and a shoaling problem which show good agreement with experimental measurements and other calculations from the literature. 相似文献
72.
Louis Peyrot W. Valentiner E. Stock H. Contzen F. J. Vitovec L. Ubbelohde E. C. Bingham J. A. Geddes G. Jones S. K. Talley C. D. Miller B. H. Sage R. L. Peek Jr. H. Wislicenus K. Uebel J. Kadlec S. Takenaka G. Duffing G. W. Vinal D. N. Craig R. H. King H. A. Vollet E. Diepschlag F. K. Buchholz 《Analytical and bioanalytical chemistry》1934,98(11-12):423-427
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I. C. Girit G. D. Alton C. R. Bingham H. K. Carter M. L. Simpson J. D. Cole W. L. Croft J. H. Hamilton E. F. Jones P. M. Gore J. Kormicki H. Xie B. D. Kern K. S. Krane Y. S. Xu P. F. Mantica Jr. B. E. Zimmerman W. G. Nettles E. F. Zganjar M. O. Kortelahti W. B. Newbolt 《Hyperfine Interactions》1988,43(1-4):151-156
The UNISOR on-line nuclear orientation facility (UNISOR/NOF) consists of a3He−4He dilution refrigerator on line to the isotope separator. Nuclei are implanted directly into a target foil which is soldered
to the bottom accessed cold finger of the refrigerator. A 1.5 T superconducting magnet polarizes the ferromagnetic target
foils and determines the axis of symmetry. Up to eight gamma detectors can be positioned around the refrigerator, each 9 cm
from the target. A unique feature of this system is that the k=4 term in the directional distribution function can be directly
and unambigously deduced so that a single solution for the mixing ratio can be found. The first on-line experiment at this
facility reported here was a study of the decay of the191Hg and193Hg isotopes. 相似文献
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Christopher Bingham 《Journal of multivariate analysis》1974,4(2):210-223
Define coefficients (κλ) by Cλ(Ip + Z)/Cλ(Ip) = Σk=0l Σ?∈k (?λ) Cκ(Z)/Cκ(Ip), where the Cλ's are zonal polynomials in p by p matrices. It is shown that C?(Z) etr(Z)/k! = Σl=k∞ Σλ∈l (?λ) Cλ(Z)/l!. This identity is extended to analogous identities involving generalized Laguerre, Hermite, and other polynomials. Explicit expressions are given for all (?λ), ? ∈ k, k ≤ 3. Several identities involving the (?λ)'s are derived. These are used to derive explicit expressions for coefficients of in expansions of P(Z), for all monomials P(Z) in sj = tr Zj of degree k ≤ 5. 相似文献
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DeProspo D Kalelkar M Aderholz M Akbari H Allport PP Ammosov VV Andryakov A Asratyan A Badyal SK Ballagh HC Baton J Barth M Bingham HH Brucker EB Burnstein RA Cence RJ Chatterjee TK Clayton EF Corrigan G Coutures C Devanand De Wolf E Ermolov P Erofeeva I Faulkner PJ Foeth H Fretter WB Gapienko G Gupta VK Hanlon J Harigel G Harris FA Ivanilov A Jabiol M Jacques P Jain V Jones GT Jones MD Kafka T Kaftanov V Kasper P Kobrin V Kohli JM Koller EL Korablev V Kubantsev M Lauko M Lukina O Lys JE 《Physical review D: Particles and fields》1994,50(11):6691-6703
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