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The interparcel mixing algorithm in the Lagrangian advection scheme withshape matrix (LASM) is updated to make the scheme more robust. The lineardegeneration criterion is replaced by the maximum deviation of the skeletonpoints so that the new algorithm is more effective in controlling the shapeof parcels, which is vital for long time simulation. LASM is inherentlyshape-preserving without any complicated filter or limiter, and it is linear.This fact contributes to the ability to preserve the sum of multipletracers exactly on the parcels in LASM. A newly proposed terminator"toy"-chemistry test is used to test LASM, which shows that LASM canpreserve the weighted sum of two reactive species precisely. Thephysics–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-Dextension of LASM

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