@string{SINUM = "SIAM J. Numer. Anal."} @string{SIMAX = "SIAM J. Matrix Anal. Appl."} @string{SISSC = "SIAM J. Sci. Stat. Comput."} @string{SICOMP = "SIAM J. Comput."} @string{TOMS = "ACM Trans. Math. Software"} @string{NM = "Numer. Math."} @string{MC = "Math. Comput."} @string{JIMA = "J. Inst. Maths. Appl."} @string{JCP = "J. Comp. Phys."} @string{JAM = "J. Appl. Meteor."} @string{JAS = "J. Atmos. Sci."} @string{JGR = "J. Geophys. Res."} @string{MWR = "Mon. Wea. Rev."} @string{QJRMS = "Quart. J. R. Met. Soc."} @string{TELLUS = "Tellus"} @article{Williamson-Drake, author="D. L. Williamson and J.B. Drake and J.J. Hack and Rudiger Jakob and P.N. Swarztrauber", title="A Standard Test Set for Numerical Approximations to the Shallow Water Equations on the Sphere", vol="102", journal=JCP, year=1992, pages="211--224", annote= "Defines the suite of seven test cases and standard error measures." } @techreport{Jakob-Hack, author="R. Jakob, J.J. Hack and D.L. Williamson", title="Solutions to the Shallow Water Test Set Using the Spectral Transform Method", type="NCAR Technical Note", institution="National Center for Atmospheric Research", number="NCAR/TN-388-STR", year="1993", address="Boulder, CO", annote= "Presents solutions to the suite of test cases from a spectral shallow water model at T42, T63 and T106 truncations along with reference solutions for the non-analytic cases at T213." } @techreport{Chern, author="I-L. Chern", title="A Control Volume Method on an Icosahedral Grid for Numerical Intergration of the Shallow-water Equations on the Sphere", type="ANL/MCS Preprint", number="MCS--P214--0291", institution="Argonne National Laboratory", year=1991, address="Chicago, IL", } @article{Worley-PartI, author="P.H. Worley and J.B. Drake", title="Parallelizing the Spectral Transform Method - Part I", journal="Concurrency: Practice and Experience", vol="4(4)", year=1992, pages="269--291"} @article{Walker-PartII, author="D.W. Walker, P.H. Worley and J.B. Drake", title="Parallelizing the Spectral Transform Method - Part II", journal="Concurrency: Practice and Experience", vol="4(7)", year=1992, pages="509--531"} @techreport{Hack-Jakob, author="J.J. Hack and R. Jakob", title="Description of a Global Shallow Water Model Based on the Spectral Transform Method", type="NCAR Technical Note", number="NCAR/TN-343+STR", institution="National Center for Atmospheric Research", year="1992", address="Boulder, CO", pages="37"} @techreport{Heikes-Randall, author="Ross P. Heikes and David A. Randall", title="The Shallow Water Equations on a Spherical Geodesic Grid", type="Dept. Atm. Sci Paper", number="524", institution="Colorado State University", year="1993", address="Fort Collins, CO", pages="175", annote= "Develops a shallow water model based on the stream function/velocity potential form of the equations on a spherical geodesic grid. Presents solutions to the suite of seven test cases with this model, with the Arakawa-Lamb model on a latitude/longitude grid and a spectral transform model. Also presents model performance for the spherical geodesic and Arakawa-Lamb models." } @inproceedings{McGregor92, author="J.L. McGregor", title="The Cosine Bell Advection Test on the Sphere: Application of an Economical Scheme for Determination of the Departure Points", booktitle="Modelling weather and climate", type="BMRC Research Report", number="33", organization="BMRC modelling workshop", institution="Bureau of Meteorology Research Centre", year="1991", month="November", address="Melbourne, Australia", pages="143--153", annote= "Presents results for test case 1 from a semi-Lagrangian model." } @article{Browning-Hack-Swarztrauber, author="G. L. Browning and J. J. Hack and P. N. Swarztrauber", title="A Comparison of Three Numerical Methods for Solving Differential Equations on the Sphere", journal=MWR, year="1989", volume="117", pages="1058--1075"}