2014
DOI: 10.5194/gmd-7-105-2014
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A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes

Abstract: Recently, a standard test case suite for 2-D linear transport on the sphere was proposed to assess important aspects of accuracy in geophysical fluid dynamics with a "minimal" set of idealized model configurations/runs/diagnostics. Here we present results from 19 stateof-the-art transport scheme formulations based on finitedifference/finite-volume methods as well as emerging (in the context of atmospheric/oceanographic sciences) Galerkin methods. Discretization grids range from traditional regular latitude-lon… Show more

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Cited by 52 publications
(44 citation statements)
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“…Table 1 shows the global error norms for different horizontal and vertical resolutions. As expected from two-dimensional test cases (Lauritzen et al, 2014b), our transport scheme is more diffusive than finite-volume schemes on essentially Cartesian meshes such as those presented in Kent et al (2014). Sample solutions (their Fig.…”
Section: Transport By a Prescribed Hadley-like Meridional Circulationmentioning
confidence: 99%
See 1 more Smart Citation
“…Table 1 shows the global error norms for different horizontal and vertical resolutions. As expected from two-dimensional test cases (Lauritzen et al, 2014b), our transport scheme is more diffusive than finite-volume schemes on essentially Cartesian meshes such as those presented in Kent et al (2014). Sample solutions (their Fig.…”
Section: Transport By a Prescribed Hadley-like Meridional Circulationmentioning
confidence: 99%
“…In addition to the above approach, building blocks for DY-NAMICO include a positive-definite finite-volume transport scheme (Lauritzen et al, 2014b) and finite-difference operators generalizing Sadourny's scheme to general unstructured spherical meshes. A partial generalization has been achieved by Bonaventura and Ringler (2005) but still lacked a discrete conservation of potential vorticity/potential enstrophy and exact discrete geostrophic equilibria, two properties tied together as discussed by Thuburn (2008).…”
Section: T Dubos Et Al: Dynamico-10 An Icosahedral Hydrostatic Dymentioning
confidence: 99%
“…Stability of these schemes can be ensured for a wide range of Courant numbers (Leonard, 2002). A general review can be found in Lauritzen et al (2011), whereas a comparison of 19 modern schemes is discussed in Lauritzen et al (2014), hereinafter referred to as L14.…”
Section: Advection Schemesmentioning
confidence: 99%
“…The polynomial coefficients are estimated using a conservative weighted least squares reconstruction method (Ollivier-Gooch and van Altena, 2002). The performance of the scheme with first-order (linear) polynomials is documented in Lauritzen et al (2014).…”
Section: Rieger Et Al: Icon-art 1661mentioning
confidence: 99%