Journal cover Journal topic
Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
Journal topic

Journal metrics

IF value: 5.240
IF5.240
IF 5-year value: 5.768
IF 5-year
5.768
CiteScore value: 8.9
CiteScore
8.9
SNIP value: 1.713
SNIP1.713
IPP value: 5.53
IPP5.53
SJR value: 3.18
SJR3.18
Scimago H <br class='widget-line-break'>index value: 71
Scimago H
index
71
h5-index value: 51
h5-index51
Volume 7, issue 6
Geosci. Model Dev., 7, 2951–2968, 2014
https://doi.org/10.5194/gmd-7-2951-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
Geosci. Model Dev., 7, 2951–2968, 2014
https://doi.org/10.5194/gmd-7-2951-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Development and technical paper 12 Dec 2014

Development and technical paper | 12 Dec 2014

A Lagrangian advection scheme with shape matrix (LASM) for solving advection problems

L. Dong1, B. Wang1,2, and L. Liu2 L. Dong et al.
  • 1LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China
  • 2Ministry of Education Key Laboratory for Earth System Modelling, Center for Earth System Science (CESS), Tsinghua University, Beijing, China

Abstract. A new Lagrangian advection scheme with shape matrix (LASM) is proposed to take advantage of the extreme low numerical diffusion of the Lagrangian methods. The tracer is discretized into finite parcels, which move along the downstream trajectories. Different from other Lagrangian schemes, the parcel shape is simulated explicitly by a linear transformation matrix. By doing so, the aliasing error in the Lagrangian schemes is largely reduced without introducing substantial interparcel mixing in the pure advection stage, because the flow information will be respected when remapping tracer density onto the fixed model grids. An adaptive interparcel mixing algorithm is constructed to ensure the validity of the linear approximation of the parcel shape, where the mixing is only triggered when it is necessary and resembles the physical mixing. The total tracer mass on the parcels is conserved exactly. The new scheme is validated by using several test cases.

Publications Copernicus
Download
Short summary
In this paper we have developed a new Lagrangian advection scheme that describes the shape of discrete parcels by linear deformation matrix. An adaptive interparcel mixing algorithm is also devised to reduce the possible aliasing errors. Several test cases are conducted to validate the new scheme.
In this paper we have developed a new Lagrangian advection scheme that describes the shape of...
Citation