Advanced Research WRF (ARW) Technical Note - MMM - University ...

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NCAR TECHNICAL NOTES The Technical Note series provides an outlet for a variety of NCAR manuscripts that contribute in specialized ways to the body of scientific knowledge but which are not suitable for journal, monograph, or book publication. Reports in this series are issued by the NCAR Scientific Divisions; copies may be obtained on request from the Publications Office of NCAR. Designation symbols for the series include: EDD: Engineering, Design, or Development Reports Equipment descriptions, test results, instrumentation, and operating and maintenance manuals. IA: Instructional Aids Instruction manuals, bibliographies, film supplements, and other research or instructional aids. PPR: Program Progress Reports Field program reports, interim and working reports, survey reports, and plans for experiments. PROC: Proceedings Documentation of symposia, colloquia, conferences, workshops, and lectures. (Distribution may be limited to attendees.) STR: Scientific and Technical Reports Data compilations, theoretical and numerical investigations, and experimental results. The National Center for Atmospheric Research (NCAR) is operated by the University Corporation for Atmospheric Research (UCAR) and is sponsored by the National Science Foundation. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Contents Acknowledgments ix 1 Introduction 1 1.1 Advanced Research WRF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Major Features of the ARW System . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Governing Equations 5 2.1 Vertical Coordinate and Variables . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Flux-Form Euler Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Inclusion of Moisture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Map Projections, Coriolis and Curvature Terms . . . . . . . . . . . . . . . . . . 7 2.5 Perturbation Form of the Governing Equations . . . . . . . . . . . . . . . . . . . 9 3 Model Discretization 11 3.1 Temporal Discretization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.1.1 Runge-Kutta Time Integration Scheme . . . . . . . . . . . . . . . . . . . 11 3.1.2 Acoustic Integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.1.3 Full Time-Split Integration Sequence . . . . . . . . . . . . . . . . . . . . 14 3.1.4 Diabatic Forcing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.1.5 Hydrostatic Option . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Spatial Discretization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.2.1 Acoustic Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.2.2 Coriolis and Curvature Terms . . . . . . . . . . . . . . . . . . . . . . . . 18 3.2.3 Advection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.3 Stability Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.3.1 RK3 Time Step Constraint . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.3.2 Acoustic Time Step Constraint . . . . . . . . . . . . . . . . . . . . . . . 22 4 Turbulent Mixing and Model Filters 23 4.1 Explicit Spatial Diffusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.1.1 Horizontal and Vertical Diffusion on Coordinate Surfaces . . . . . . . . . 23 4.1.2 Horizontal and Vertical Diffusion in Physical Space . . . . . . . . . . . . 24 4.1.3 Computation of the Eddy Viscosities . . . . . . . . . . . . . . . . . . . . 26 4.1.4 TKE equation for the 1.5 Order Turbulence Closure . . . . . . . . . . . . 27 4.2 Filters for the Time-split RK3 scheme . . . . . . . . . . . . . . . . . . . . . . . . 29 4.2.1 Divergence Damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 i
Page 1: NCAR/TN-468+STR NCAR TECHNICAL NOTE
Page 5: 8.4.3 Rapid Update Cycle (RUC) Mode
Page 8 and 9: 9.2 Sketch of the role of Stage 0 c
Page 10 and 11: viii
Page 13 and 14: Chapter 1 Introduction The developm
Page 15 and 16: 1.2 Major Features of the ARW Syste
Page 17 and 18: Chapter 2 Governing Equations The A
Page 19 and 20: 2.3 Inclusion of Moisture In formul
Page 21 and 22: the earth. In this formulation we h
Page 23 and 24: Chapter 3 Model Discretization 3.1
Page 25 and 26: and lead to the acoustic time-step
Page 27 and 28: forward step, i.e., step (1) in Fig
Page 29 and 30: { Δy y u i-1/2,j+1 u i-1/2,j v i,j
Page 31 and 32: In the current version of the ARW,
Page 33 and 34: for Cr > 0, and (U t q) i+ 1 2 = U
Page 35 and 36: Chapter 4 Turbulent Mixing and Mode
Page 37 and 38: Symmetry sets the remaining tensor
Page 39 and 40: If ∆x is less than the user-speci
Page 41 and 42: 4.2 Filters for the Time-split RK3
Page 43: where γr is a user specified dampi
Page 46 and 47: exception of the baroclinic wave te
Page 48 and 49: STATIC DATA GRIB DATA SI SYSTEM GRI
Page 50 and 51: 5.2.3 Generating Lateral Boundary D
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a boundary on which the condition i
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On the coarse grid, the specified b
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1-Way ARW WRF Simulation Two Consec
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V V V V U U U U U V V V V V V V
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V V V V U U U U U V V V V V V U
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coarse grid and fine grid is consis
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Table 8.1: Microphysics Options Sch
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and it is the water vapor and total
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8.2.2 Betts-Miller-Janjic The Betts
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Table 8.3: Land Surface Options Sch
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Table 8.5: Radiation Options Scheme
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Table 8.6: Physics Interactions. Co
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Chapter 9 Variational Data Assimila
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supply the following: i) a default
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9.2.4 First Guess at Appropriate Ti
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of its useful life. The development
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The second stage of gen be (gen be
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Appendix A Physical Constants The f
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Symbols Definition l0 minimum lengt
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Subscripts/Superscripts Definition
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NWP Numerical Weather Prediction OS
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Davies, H. C., and R. E. Turner, 19
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Lin, Y.-L., R. D. Farley, and H. D.
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Walko, R. L., W. R. Cotton, M. P. M
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