A Computationally Efficient Linear Semi-Lagrangian Scheme for the Advection of Microphysical Variables in Cloud-Resolving Models
Abstract
An efficient semi-Lagrangian (SL) numerical scheme for the advection of positive-definite microphysical variables in cloud-resolving models is proposed. The scheme is a linear combination of SL schemes of the first and second order. The proposed scheme is compared with two high-order, monotonic, nonlinear Eulerian schemes, in two 2D tests. In the first test, advection of a positive scalar field with large gradients is performed within complicated idealized steering flows. In the second test, a hail storm is simulated using the 2D Hebrew University Cloud Model, describing the interactions between 15 size distributions of different microphysical quantities (each distribution is described by 43 mass bins). The proposed scheme is computationally efficient, has a low numerical diffusion and a high level of mass conservation accuracy, and preserves the sum of multiple advected variables as well as the linear relationships between the advected scalar variables. Although the proposed SL scheme is not exactly positive definite, the negative values and their number, which may appear only in the case of very strong gradients, are negligible. The scheme produces results similar to those of nonlinear Eulerian advection schemes while reducing computation time by approximately a factor of 10.
- Authors:
-
- Hebrew Univ. of Jerusalem (Israel)
- Publication Date:
- Research Org.:
- Univ. of Oklahoma, Norman, OK (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1802603
- Grant/Contract Number:
- SC0014295
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Monthly Weather Review
- Additional Journal Information:
- Journal Volume: 148; Journal Issue: 8; Journal ID: ISSN 0027-0644
- Publisher:
- American Meteorological Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Meteorology & Atmospheric Sciences; Cloud resolving models; Numerical analysis/modeling; Semi-Lagrangian models
Citation Formats
Gavze, E., Ilotoviz, E., and Khain, A. A Computationally Efficient Linear Semi-Lagrangian Scheme for the Advection of Microphysical Variables in Cloud-Resolving Models. United States: N. p., 2020.
Web. doi:10.1175/mwr-d-19-0080.1.
Gavze, E., Ilotoviz, E., & Khain, A. A Computationally Efficient Linear Semi-Lagrangian Scheme for the Advection of Microphysical Variables in Cloud-Resolving Models. United States. https://doi.org/10.1175/mwr-d-19-0080.1
Gavze, E., Ilotoviz, E., and Khain, A. Sat .
"A Computationally Efficient Linear Semi-Lagrangian Scheme for the Advection of Microphysical Variables in Cloud-Resolving Models". United States. https://doi.org/10.1175/mwr-d-19-0080.1. https://www.osti.gov/servlets/purl/1802603.
@article{osti_1802603,
title = {A Computationally Efficient Linear Semi-Lagrangian Scheme for the Advection of Microphysical Variables in Cloud-Resolving Models},
author = {Gavze, E. and Ilotoviz, E. and Khain, A.},
abstractNote = {An efficient semi-Lagrangian (SL) numerical scheme for the advection of positive-definite microphysical variables in cloud-resolving models is proposed. The scheme is a linear combination of SL schemes of the first and second order. The proposed scheme is compared with two high-order, monotonic, nonlinear Eulerian schemes, in two 2D tests. In the first test, advection of a positive scalar field with large gradients is performed within complicated idealized steering flows. In the second test, a hail storm is simulated using the 2D Hebrew University Cloud Model, describing the interactions between 15 size distributions of different microphysical quantities (each distribution is described by 43 mass bins). The proposed scheme is computationally efficient, has a low numerical diffusion and a high level of mass conservation accuracy, and preserves the sum of multiple advected variables as well as the linear relationships between the advected scalar variables. Although the proposed SL scheme is not exactly positive definite, the negative values and their number, which may appear only in the case of very strong gradients, are negligible. The scheme produces results similar to those of nonlinear Eulerian advection schemes while reducing computation time by approximately a factor of 10.},
doi = {10.1175/mwr-d-19-0080.1},
journal = {Monthly Weather Review},
number = 8,
volume = 148,
place = {United States},
year = {Sat Aug 01 00:00:00 EDT 2020},
month = {Sat Aug 01 00:00:00 EDT 2020}
}
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