Application of simple numerical techniques for increasing the efficiency of a forward-in-time shallow water code on a sphere

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Atmospheric motions contain signals such as gravity waves and/or sound waves which usually have little influence on the actual weather. These signals do however have an effect on atmospheric models which predict the weather; the signals require the use of small time steps for numerical stability. Two explicit numerical techniques, time-splitting and temporal averaging, are described in this paper which help increase the efficiency of atmospheric models which contain fast signals. An interesting aspect of this work is that these techniques are being applied within the framework of a fully forward-in-time model. This is in contrast to findings by other ... continued below

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9 p.

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Reisner, J.M. & Kao, C.Y.J. September 1, 1996.

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Description

Atmospheric motions contain signals such as gravity waves and/or sound waves which usually have little influence on the actual weather. These signals do however have an effect on atmospheric models which predict the weather; the signals require the use of small time steps for numerical stability. Two explicit numerical techniques, time-splitting and temporal averaging, are described in this paper which help increase the efficiency of atmospheric models which contain fast signals. An interesting aspect of this work is that these techniques are being applied within the framework of a fully forward-in-time model. This is in contrast to findings by other researchers who have noted that the use of forward-in-time schemes in conjunction with time-splitting leads to numerical instabilities. In addition to demonstrating that the method is efficient, the authors will illustrate that the approach produces a solution which suffers from less dissipative errors than the original model. Additional features of the approach is that it does not suffer from temporal splitting errors and as such the method is fully second-order in time and space. Because the approach is explicit, no difficulties exist with its implementation on parallel architectures. The model is written in Fortran 90 and runs on the CM5.

Physical Description

9 p.

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OSTI as DE96014195

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  • Parallel CFD `96, Capri (Italy), 20-23 May 1996

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  • Other: DE96014195
  • Report No.: LA-UR--96-2498
  • Report No.: CONF-9605211--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 378789
  • Archival Resource Key: ark:/67531/metadc681982

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  • September 1, 1996

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  • July 25, 2015, 2:20 a.m.

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  • Feb. 29, 2016, 8:25 p.m.

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Reisner, J.M. & Kao, C.Y.J. Application of simple numerical techniques for increasing the efficiency of a forward-in-time shallow water code on a sphere, article, September 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc681982/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.