The composite-tendency Robert-Asselin-Williams (RAW) filter in semi-implicit integrations
نویسندگان
چکیده
منابع مشابه
The composite-tendency RAW filter in semi-implicit integrations
1 The time discretization in weather and climate models introduces truncation errors that limit 2 the accuracy of the simulations. Recent work has yielded a method for reducing the amplitude 3 errors in leapfrog integrations from first-order to fifth-order. This improvement is achieved by 4 replacing the Robert–Asselin filter with the RAW filter and using a linear combination of the 5 unfiltere...
متن کاملAnalysis of the Raw Filter in Composite-tendency Leapfrog Integrations
The leapfrog time-differencing scheme is widely used in numerical models of the atmosphere and ocean. Its accuracy can be improved by replacing the stabilizing Robert–Asselin filter with the Robert–Asselin–Williams (RAW) filter and also by using a composite tendency, which is constructed as a linear combination of the filtered and unfiltered tendencies. This paper conducts a detailed, rigorous ...
متن کاملA Proposed Modification to the Robert–Asselin Time Filter*
The Robert–Asselin time filter is widely used in numerical models of weather and climate. It successfully suppresses the spurious computational mode associated with the leapfrog time-stepping scheme. Unfortunately, it also weakly suppresses the physical mode and severely degrades the numerical accuracy. These two concomitant problems are shown to occur because the filter does not conserve the m...
متن کاملA higher-order Robert-Asselin type time filter
The Robert-Asselin (RA) time filter combined with leapfrog scheme is widely used in numerical models of weather and climate. It successfully suppresses the spurious computational mode associated with the leapfrog method, but it also weakly dampens the physical mode and degrades the numerical accuracy. The Robert-Asselin-Williams (RAW) time filter is a modification of the RA filter that reduces ...
متن کاملAnalysis of time filters used with the leapfrog scheme
We present the linear analysis of recent time filters used in numerical weather prediction. We focus on the accuracy and the stability of the leapfrog scheme combined with the Robert–Asselin–Williams filter, the higher-order Robert–Asselin type time filter, the compositetendency Robert–Asselin–Williams filter and a more discriminating filter.
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ژورنال
عنوان ژورنال: Quarterly Journal of the Royal Meteorological Society
سال: 2014
ISSN: 0035-9009
DOI: 10.1002/qj.2391