The composite-tendency Robert-Asselin-Williams (RAW) filter in semi-implicit integrations

Timediscretization in weatherandclimate modelsintroduces truncation errors that limit the accuracy of the simulations. Recent work has yielded a method for reducing the amplitude errors in leap-frog integrations from first-order to fifth-order.This improvement is achieved by replacing the Robert–Asselin filter with the Robert–Asselin–Williams (RAW) filter and using a linear combination of unfiltered and filtered states to compute the tendency term. The purpose of the present article is to apply the composite-tendency RAW-filtered leapfrog scheme to semi-implicit integrations. A theoretical analysis shows that the stability and accuracy are unaffected by the introduction of the implicitly treated mode. The scheme is tested in semi-implicit numerical integrations in both a simple nonlinear stiff system and a medium-complexity atmospheric general circulation model and yields substantial improvements in both cases. We conclude that the composite-tendency RAW-filtered leap-frog scheme is suitable for use in semi-implicit integrations.

Robert Cornell, Technical Editor, Electronic Technician Magazine

New York Trade School graduate Robert Cornell is pictured at his desk in his position of Technical Editor, Electronic Technician Magazine. Original caption reads "Robert Cornell - Advanced Television 1954, was appointed Technical Editor of Electronic Technician Magazine in 1956 and has served with distinction since. He is President of CETA (Certified Electronic Technicians Association), which consists of alumni of the New York Trade School who are graduates of the Advanced Television Course. He was recently invited to serve a a member of the Attorney General's Committee seeking to establish safeguards to protect the public in the field of television servicing." Black and white photograph with caption to glued to reverse.