Geoscientific Model Development
Geoscientific Model Development
Geoscientific Model Development
Articles | Volume 8, issue 8
Articles | Volume 8, issue 8
Geosci. Model Dev., 8, 2675–2686, 2015
https://doi.org/10.5194/gmd-8-2675-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Geosci. Model Dev., 8, 2675–2686, 2015
https://doi.org/10.5194/gmd-8-2675-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 8, issue 8

Development and technical paper 27 Aug 2015

Development and technical paper | 27 Aug 2015

Lagrangian advection scheme with shape matrix (LASM) v0.2: interparcel mixing, physics–dynamics coupling and 3-D extension

L. Dong1, B. Wang1,2, L. Liu2, and Y. Huang3,4 L. Dong et al.
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  • 1LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China
  • 2Ministry of Education Key Laboratory for Earth System Modeling, Center for Earth System Science (CESS), Tsinghua University, Beijing, China
  • 3LACS, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China
  • 4University of Chinese Academy of Sciences, Beijing, China
Received: 03 Jan 2015 – Discussion started: 30 Jan 2015 – Revised: 10 Aug 2015 – Accepted: 18 Aug 2015 – Published: 27 Aug 2015

Abstract. The interparcel mixing algorithm in the Lagrangian advection scheme with shape matrix (LASM) is updated to make the scheme more robust. The linear degeneration criterion is replaced by the maximum deviation of the skeleton points so that the new algorithm is more effective in controlling the shape of parcels, which is vital for long time simulation. LASM is inherently shape-preserving without any complicated filter or limiter, and it is linear. This fact contributes to the ability to preserve the sum of multiple tracers exactly on the parcels in LASM. A newly proposed terminator "toy"-chemistry test is used to test LASM, which shows that LASM can preserve the weighted sum of two reactive species precisely. The physics–dynamics coupling (i.e., tendency evaluation type) is also discussed. A flow generated by a WRF large-eddy simulation is also used to test the 3-D extension of LASM.

How to cite. Dong, L., Wang, B., Liu, L., and Huang, Y.: Lagrangian advection scheme with shape matrix (LASM) v0.2: interparcel mixing, physics–dynamics coupling and 3-D extension, Geosci. Model Dev., 8, 2675–2686, https://doi.org/10.5194/gmd-8-2675-2015, 2015.
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Short summary
The interparcel mixing algorithm in the Lagrangian advection scheme with shape matrix (LASM) is updated to make the scheme more robust. The new algorithm is more effective in controlling the shape of parcels, which is vital for long time simulation. LASM is inherently shape-preserving without any complicated filter or limiter, so it is linear. This fact contributes to the ability of LASM to preserve the sum of multiple tracers exactly.
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