On the Accuracy of Semi-Lagrangian Numerical Simulation of Internal Gravity Wave Motion in the Atmosphere

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概要

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• We have investigated the accuracy of the semi-implicit semi-Lagrangian (SISL) method in simulating internal gravity wave (IGW) motion. We have focused on the relative accuracy of the hydrostatic, and nonhydrostatic IGW solutions. The analysis is based on a linearized model and a Global Circulation Model-Dynamic Core (GCM-DC) with a stretched grid. The nonhydrostatic version of the GCM-DC model produces the familiar IGW train disturbance anchored to an isolated hypothetical mountain. The wave has a distinct tilt away from the vertical direction, which is consistent with classical theory. For the hydrostatic version of the model, the axis of the resulting IGW train rests nearly perpendicular to the mountain top, thus again consistent with classical theory. Increasing the time step from 10s; Courant number (Cn)=0.5; to 60s (Cn=3.0), results in stable solutions for both the hydrostatic and nonhydrostatic versions of the model. The nonhydrostatic solution is in close agreement with the control run however, the hydrostatic solution exhibits large phase truncation errors. The solutions for the one-dimensional linearized SISL model confirm the GCM-DC results that the nonhydrostatic IGW train is less damped and shifted by the SISL scheme than the corresponding hydrostatic IGW motion. The linear solutions indicate very high accuracy of the physical mode of the solution, but it rapidly deteriorates when Cn exceeds unity. As △t→0 the amplitude of the computational mode tends to zero and its frequency to infinity. However, as △t→∞, the frequency of the computational SISL mode asymptotically approaches the value of the frequency of the corresponding SISL physical mode. Furthermore, the amplitude of the SISL computational mode is directly proportional to the size of the time step. Therefore, at large time steps, the amplification of the computational mode could offset some of the numerical damping of the physical mode by the SISL scheme.

• 社団法人日本気象学会の論文
• 2005-10-25

著者

• Mckee Burrows

  North Carolina State University

• TSAI Yu

  Department of Chemical Engineering, Yuan-Ze Institute of Technology

• SEMAZZI Fredrick

  North Carolina State University

• SCROGGS Jeffrey

  North Carolina State University

• POULIOT George

  North Carolina State University

• NORMAN Matthew

  North Carolina State University

• POOJARY Vikram

  North Carolina State University

• Pouliot George

  North Carolina State University:(present Address)environmental Protection Agency Research Triangle P

• Tsai Yu

  Department Of Meteorology Taiwan National University

• Tsai Yu

  Department Of Chemical Engineering Yuan Ze University

• Semazzi Fredrick

  North Carolina State Univ. Raleigh

• Semazzi Frederick

  North Carolina State University

関連論文

• Phase Behavior and Bistable Switching Effects of the Induced Smectic Phase by Mixing Two Low Molecular Weight Nematic Liquid Crystals
• On the Accuracy of Semi-Lagrangian Numerical Simulation of Internal Gravity Wave Motion in the Atmosphere
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• Bistable Switching Effects and Thermal Storage of Polymer/Induced Smectic Phase Composite Film
• セミグランジュ・モデルにおけるトラジェクトリ・アンセンタリング法の研究

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