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Volume 6 Issue 4

Oct.  1989

Article Contents

A Parameterization of Cooling Rate Calculation under the Non-LTE Condition: Multi-Level Model


doi: 10.1007/BF02659075

  • Calculations of cooling rate by CO2 15 μm band in the earth’s upper mesosphere and lower thermosphere be-come very difficult because of the non-LTE. This is primarily due to the nonlinear vibration-vibrational (VV) transi-tion processes between CO2 molecules in different states. This paper suggests that the non-LTE source function be parameterized as a linear combination of two limiting source functions. One limiting source function neglects the VV transitions while the other limiting source function assumes VV transitions being dominant. These two limiting source functions can be derived by linear models. The parameterization schemes proposed here can be applied 10 the general circulation models including those non-LTE regions.
  • [1] Michael Edgeworth McINTYRE, 2017: On Multi-Level Thinking and Scientific Understanding, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 1150-1158.  doi: 10.1007/s00376-017-6283-3
    [2] Yan Shaojin, Peng Yongqing, Quo Guang, 1995: Monthly Mean Temperature Prediction Based on a Multi-level Mapping Model of Neural Network BP Type, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 225-232.  doi: 10.1007/BF02656835
    [3] Xu Li, Shi Guangyu, 1985: AN EXACT CALCULATION OF INFRARED COOLING RATE DUE TO WATER VAPOR, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 531-541.  doi: 10.1007/BF02678751
    [4] Xun ZHU, 2003: Parameterization of the Non-Local Thermodynamic Equilibrium Source Function with Chemical Production by an Equivalent Two-Level Model, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 487-495.  doi: 10.1007/BF02915493
    [5] Qian Yongfu, 1987: RECURRENCE METHOD FOR CALCULATION OF ATMOS-PHERIC COOLING RATE DUE TO INFRARED RADIATION, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 403-413.  doi: 10.1007/BF02656741
    [6] H. Kurtulus OZCAN, Erdem BILGILI, Ulku SAHIN, O. Nuri UCAN, Cuma BAYAT, 2007: Modeling of Trophospheric Ozone Concentrations Using Genetically Trained Multi-Level Cellular Neural Networks, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 907-914.  doi: 10.1007/s00376-007-0907-y
    [7] Peng LIU, Jianning SUN, Lidu SHEN, 2016: Parameterization of Sheared Entrainment in a Well-developed CBL. Part II: A Simple Model for Predicting the Growth Rate of the CBL, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 1185-1198.  doi: 10.1007/s00376-016-5209-9
    [8] Shi Guangyu, Qu Yanni, 1986: EFFECTS OF RADIATION MODELS ON THE CALCULATION OF ATMOSPHERIC INFRARED COOLING RATES, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 227-237.  doi: 10.1007/BF02682556
    [9] Rajabu J. MANGARA, Zhenhai GUO, Shuanglin LI, 2019: Performance of the Wind Farm Parameterization Scheme Coupled with the Weather Research and Forecasting Model under Multiple Resolution Regimes for Simulating an Onshore Wind Farm, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 119-132.  doi: 10.1007/s00376-018-8028-3
    [10] LI Hongmei, FENG Lei, ZHOU Tianjun, 2011: Multi-model Projection of July--August Climate Extreme Changes over China under CO$_{2}$ Doubling. Part I: Precipitation, ADVANCES IN ATMOSPHERIC SCIENCES, 28, 433-447.  doi: 10.1007/s00376-010-0013-4
    [11] ZHANG Hanbin, CHEN Jing, ZHI Xiefei, WANG Yi, WANG Yanan, 2015: Study on Multi-Scale Blending Initial Condition Perturbations for a Regional Ensemble Prediction System, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 1143-1155.  doi: 10.1007/s00376-015-4232-6
    [12] LI Hongmei, FENG Lei, ZHOU Tianjun, 2011: Multi-Model Projection of July--August Climate Extreme Changes over China under CO2 Doubling. Part II: Temperature, ADVANCES IN ATMOSPHERIC SCIENCES, 28, 448-463.  doi: 10.1007/s00376-010-0052-x
    [13] Wang Yuan, Wu Rongsheng, 2001: Theoretical Aspect of Suitable Spatial Boundary Condition Specified for Adjoint Model on Limited Area, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 1081-1089.  doi: 10.1007/s00376-001-0024-2
    [14] Ling-Jiang TAO, Chuan GAO, Rong-Hua ZHANG, 2018: ENSO Predictions in an Intermediate Coupled Model Influenced by Removing Initial Condition Errors in Sensitive Areas: A Target Observation Perspective, ADVANCES IN ATMOSPHERIC SCIENCES, 35, 853-867.  doi: 10.1007/s00376-017-7138-7
    [15] Lan Hongdi, Jiang Maoji, 1985: RESEARCH ON THE PHOTO-TEMPERATURE MODEL FOR THE DEVELOPMENTAL RATE OF RICE, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 549-552.  doi: 10.1007/BF02678753
    [16] Chujie GAO, Gen LI, 2023: Enhanced Seasonal Predictability of Spring Soil Moisture over the Indo-China Peninsula for Eastern China Summer Precipitation under Non-ENSO Conditions, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 1632-1648.  doi: 10.1007/s00376-023-2361-x
    [17] Yang Fanglin, 1991: The Stability of Large-Scale Horizontal Air Motion in the Non-linear Basic Zephyr Flow under the Effect of Rossby Parameter, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 149-164.  doi: 10.1007/BF02658091
    [18] Xuan LI, Jie FENG, Ruiqiang DING, Jianping LI, 2021: Application of Backward Nonlinear Local Lyapunov Exponent Method to Assessing the Relative Impacts of Initial Condition and Model Errors on Local Backward Predictability, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1486-1496.  doi: 10.1007/s00376-021-0434-2
    [19] XIN Xiaoge, Zhaoxin LI, YU Rucong, ZHOU Tianjun, 2008: Impacts of Upper Tropospheric Cooling upon the Late Spring Drought in East Asia Simulated by a Regional Climate Model, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 555-562.  doi: 10.1007/s00376-008-0555-x
    [20] Zhang Minghua, Zeng Qingcun, 1999: Discrete Spectra and Continuous Spectrum of the Barotropic Quasi-Geostrophic Model-A Calculation of Meteorological Data, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 487-506.  doi: 10.1007/s00376-999-0026-z

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Manuscript History

Manuscript received: 10 October 1989
Manuscript revised: 10 October 1989
通讯作者: 陈斌, bchen63@163.com
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A Parameterization of Cooling Rate Calculation under the Non-LTE Condition: Multi-Level Model

  • 1. Program in Atmospheric and Oceanic Sciences, P.O. Box 308,Princeton University, Princeton, NJ 08542, USA

Abstract: Calculations of cooling rate by CO2 15 μm band in the earth’s upper mesosphere and lower thermosphere be-come very difficult because of the non-LTE. This is primarily due to the nonlinear vibration-vibrational (VV) transi-tion processes between CO2 molecules in different states. This paper suggests that the non-LTE source function be parameterized as a linear combination of two limiting source functions. One limiting source function neglects the VV transitions while the other limiting source function assumes VV transitions being dominant. These two limiting source functions can be derived by linear models. The parameterization schemes proposed here can be applied 10 the general circulation models including those non-LTE regions.

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