Achieving Seventh-Order Amplitude Accuracy in Leapfrog Integrations
نویسندگان
چکیده
منابع مشابه
Achieving Seventh-Order Amplitude Accuracy in Leapfrog Integrations
The leapfrog time-stepping scheme makes no amplitude errors when integrating linear oscillations. Unfortunately, the Robert-Asselin filter, which is used to damp the computational mode, introduces first-order amplitude errors. The Robert-Asselin-Williams (RAW) filter, which was recently proposed as an improvement, eliminates the first-order amplitude errors and yields third-order amplitude accu...
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 CMOS lOOMHz CONTINUOUS-TIME SEVENTH ORDER 0.05' EQUIRIPPLE LINEAR PHASE LEAPFROG MULTIPLE LOOP FEEDBACK G,-C FILTER
A novel lOOMHz CMOS G,-C seventh-order 0.05" equiripple linear phase low-pass multiple loop feedback (MLF) filter based on the Leapfrog (LF) topology is presented. The filter is implemented using a fully-differential linear, high performance operational transconductance amplifier (OTA) based on crosscoupled pairs. PSpice simulations in a standard TSMC 0.25pm CMOS process and with a single 5V po...
متن کاملImproved Seventh-Order WENO Scheme
In this paper, an improved seventh-order WENO (WENO-Z7) scheme is suggested by extending the 5th-order WENO scheme of Borges et al[R. Borges, M. Carmona, B. Costa, W. S. Don, An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, J. Comput. Phys. 227(2008) 3191-3211]. The sufficient condition for seventh-order accuracy is described for the new smoothness indic...
متن کاملThe 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Monthly Weather Review
سال: 2013
ISSN: 0027-0644,1520-0493
DOI: 10.1175/mwr-d-12-00303.1