Access the full text.
Sign up today, get DeepDyve free for 14 days.
W. Briggs (1987)
A multigrid tutorial
John Adams, P. Smolarkiewicz (2001)
Modified multigrid for 3D elliptic equations with cross-derivativesAppl. Math. Comput., 121
A. Arakawa, V. Lamb (1977)
Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model, 17
B. Engquist, E. Luo (1997)
Convergence of a Multigrid Method for Elliptic Equations with Highly Oscillatory CoefficientsSIAM Journal on Numerical Analysis, 34
S. Fulton, P. Ciesielski, W. Schubert (1986)
Multigrid methods for elliptic problems: a reviewMonthly Weather Review, 114
A. Gadd (1978)
A split explicit integration scheme for numerical weather predictionQuarterly Journal of the Royal Meteorological Society, 104
R. Hiptmair (1998)
Multigrid Method for Maxwell's EquationsSIAM Journal on Numerical Analysis, 36
A. Robert (1993)
Bubble Convection Experiments with a Semi-implicit Formulation of the Euler EquationsJournal of the Atmospheric Sciences, 50
M. Cullen (1990)
A test of a semi‐implicit integration technique for a fully compressible non‐hydrostatic modelQuarterly Journal of the Royal Meteorological Society, 116
R. Laprise (1992)
The Euler Equations of Motion with Hydrostatic Pressure as an Independent VariableMonthly Weather Review, 120
M. Ikawa (1988)
Comparison of Some Schemes for Nonhydrostatic Models with OrographyJournal of the Meteorological Society of Japan, 66
M. Tanguay, A. Robert, R. Laprise (1990)
A Semi-implicit Send-Lagrangian Fully Compressible Regional Forecast ModelMonthly Weather Review, 118
John Adams (1991)
Recent enhancements in MUDPACK, a multigrid software package for elliptic partial differential equationsApplied Mathematics and Computation, 43
P. Miller, D. Durran (1991)
On the Sensitivity of Downslope Windstorms to the Asymmetry of the Mountain ProfileJournal of the Atmospheric Sciences, 48
Luis Mendez-Nunez, J. Carroll (1994)
Application of the MacCormack Scheme to Atmospheric Nonhydrostatic ModelsMonthly Weather Review, 122
K. Bowman, Jin Huang (1991)
A Multigrid Solver for the Helmholtz Equation on a Semiregular Grid on the SphereMonthly Weather Review, 119
A. Simmons, D. Burridge (1981)
An Energy and Angular-Momentum Conserving Vertical Finite-Difference Scheme and Hybrid Vertical CoordinatesMonthly Weather Review, 109
W. Hsu, Wen-Yih Sun (2001)
A time-split, forward-backward numerical model for solving a nonhydrostatic and compressible system of equationsTellus A: Dynamic Meteorology and Oceanography, 53
W. Skamarock, P. Smolarkiewicz, J. Klemp (1997)
Preconditioned Conjugate-Residual Solvers for Helmholtz Equations in Nonhydrostatic ModelsMonthly Weather Review, 125
H. Kapitza, D. Eppel (1992)
The non-hydrostatic mesoscale model GESIMA. I : Dynamical equations and testsContributions to atmospheric physics, 65
D. Lilly (1978)
A Severe Downslope Windstorm and Aircraft Turbulence Event Induced by a Mountain WaveJournal of the Atmospheric Sciences, 35
Ronald Smith (1985)
On Severe Downslope WindsJournal of the Atmospheric Sciences, 42
J. Klemp, R. Wilhelmson (1978)
The Simulation of Three-Dimensional Convective Storm DynamicsJournal of the Atmospheric Sciences, 35
W. Crowley (1968)
NUMERICAL ADVECTION EXPERIMENTS1Monthly Weather Review, 96
E. Richard, P. Mascart, E. Nickerson (1990)
Examples of the role of surface friction in downslope windstormsMeteorology and Atmospheric Physics, 43
P. Ciesielski, S. Fulton, W. Schubert (1986)
Multigrid Solution of an Elliptic Boundary Value Problem from Tropical Cyclone TheoryMonthly Weather Review, 114
B. Golding (1992)
An efficient non-hydrostatic forecast modelMeteorology and Atmospheric Physics, 50
Wen-Yih Sun (1993)
Numerical Experiments for Advection EquationJournal of Computational Physics, 108
J. Pinty, R. Benoit, E. Richard, R. Laprise (1995)
Simple Tests of a Semi-Implicit Semi-Lagrangian Model on 2D Mountain Wave ProblemsMonthly Weather Review, 123
J. Bates, F. Semazzi, R. Higgins, Saulo Barros (1990)
Integration of the shallow water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solverMonthly Weather Review, 118
D. Durran, J. Klemp (1983)
A Compressible Model for the Simulation of Moist Mountain WavesMonthly Weather Review, 111
S. Thomas, C. Girard, G. Doms, U. Schättler (2000)
Semi-Implicit Scheme for the DWD Lokal-ModellMeteorology and Atmospheric Physics, 73
H. Juang (2000)
The NCEP Mesoscale Spectral Model: A Revised Version of the Nonhydrostatic Regional Spectral ModelMonthly Weather Review, 128
M. Tapp, P. White (1976)
A non‐hydrostatic mesoscale modelQuarterly Journal of the Royal Meteorological Society, 102
Stephen Thomas, C. Girard, R. Benoit, M. Desgagné, P. Pellerin (1998)
A new adiabatic kernel for the MC2 modelAtmosphere-ocean, 36
A. Brandt (1977)
Multi-level adaptive solutions to boundary-value problems math comptr
John Adams, R. Garcia, B. Gross, J. Hack, D. Haidvogel, V. Pizzo (1992)
Applications of Multigrid Software in the Atmospheric SciencesMonthly Weather Review, 120
H. Juang (1992)
A spectral fully compressible nonhydrostatic mesoscale model in hydrostatic sigma coordinates: Formulation and preliminary resultsMeteorology and Atmospheric Physics, 50
(1999)
Part I: The development of a nonhydrostatic model
J. Doyle, D. Durran, Chaing-Heins Chen, B. Colle, M. Georgelin, V. Grubišić, W. Hsu, Ching-Yuang Huang, D. Landau, Yuh-Lang Lin, G. Poulos, Wen-Yih Sun, D. Weber, M. Wurtele, M. Xue (2000)
An intercomparison of model predicted wave breaking for the 11 January 1972 Boulder windstormMonthly Weather Review, 128
A. Simmons, C. Temperton (1997)
Stability of a Two-Time-Level Semi-Implicit Integration Scheme for Gravity Wave MotionMonthly Weather Review, 125
R. Mertens, H. Gersem, R. Belmans, K. Hameyer, D. Lahaye, S. Vandewalle, D. Roose (1998)
An algebraic multigrid method for solving very large electromagnetic systemsIEEE Transactions on Magnetics, 34
(1969)
The integration of a spectral model of the atmosphere by the implicit method
P. Queney (1948)
The Problem of Air Flow Over Mountains: A Summary of Theoretical StudiesBulletin of the American Meteorological Society, 29
John Adams (1989)
MUDPACK: Multigrid portable FORTRAN software for the efficient solution of linear elliptic partial dApplied Mathematics and Computation
A fully compressible, three-dimensional, nonhydrostatic model is developed using a semi-implicit scheme to avoid an extremely small time step. As a result of applying the implicit scheme to high-frequency waves, an elliptic partial differential equation (EPDE) has been introduced. A multigrid solver is applied to solve the EPDEs, which include cross-derivative terms due to terrain-following coordinate transformation. Several experiments have been performed to evaluate the model as well as the performance of the scheme with respect to tolerance number, relaxation choice, sweeps of prerelaxation and postrelaxation, and a flexible hybrid coordinate (FHC). An FHC with two functions (base and deviation functions) is introduced. The basic function provides constant vertical grid spacing required in the multigrid solver, while the deviation function helps to adjust the vertical resolution.
Monthly Weather Review – American Meteorological Society
Published: Sep 7, 2000
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.