2011
DOI: 10.1175/2010mwr3601.1
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The RAW Filter: An Improvement to the Robert–Asselin Filter in Semi-Implicit Integrations

Abstract: Errors caused by discrete time stepping may be an important component of total model error in contemporary atmospheric and oceanic simulations. To reduce time-stepping errors in leapfrog integrations, the Robert-Asselin-Williams (RAW) filter was proposed by the author as a simple improvement to the widely used Robert-Asselin (RA) filter. The present paper examines the behavior of the RAW filter in semi-implicit integrations. First, in a linear theoretical analysis, the stability and accuracy are interrogated b… Show more

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Cited by 79 publications
(85 citation statements)
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“…The Robert-Asselin filter for leapfrog time stepping has been replaced with the improved Robert-Asselin-Williams filter (Williams 2011), but in all other respects the model used here is as described by O'Gorman and Schneider (2008). We run the GCM at a horizontal spectral resolution of T127 (corresponding to approximately 18 resolution in latitude) with 20 vertical sigma levels and an integration time step of 150 s. The model is configured as an aquaplanet with a slab ocean of uniform heat capacity equivalent to 1 m of liquid water.…”
Section: Idealized Gcmmentioning
confidence: 99%
“…The Robert-Asselin filter for leapfrog time stepping has been replaced with the improved Robert-Asselin-Williams filter (Williams 2011), but in all other respects the model used here is as described by O'Gorman and Schneider (2008). We run the GCM at a horizontal spectral resolution of T127 (corresponding to approximately 18 resolution in latitude) with 20 vertical sigma levels and an integration time step of 150 s. The model is configured as an aquaplanet with a slab ocean of uniform heat capacity equivalent to 1 m of liquid water.…”
Section: Idealized Gcmmentioning
confidence: 99%
“…It is described in detail in Schneider and Walker (2006). The only modification we adopt is the upgrade from the Robert-Asselin filter to the Robert-Asselin-Williams filter in the leapfrog time stepping (Williams 2011). The primitive equations on a sphere are integrated using the pseudospectral method on unevenly spaced vertical σ -levels (Bourke 1974;Simmons and Burridge 1981).…”
Section: Idealized Gcmmentioning
confidence: 99%
“…as in Schneider and Liu (2009), except for the drag parameters discussed below. As a slight difference from the simulations in our previous papers, here we use the modified RobertAsselin filter of Williams (2011) to reduce the numerical errors produced in the leapfrog time-stepping scheme.…”
Section: A Model Descriptionmentioning
confidence: 99%