Improved Advection Schemes for Ocean Models
العنوان: | Improved Advection Schemes for Ocean Models |
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المؤلفون: | Catherine S. Richmond, Beverly A. de Cuevas, David J. Webb |
المصدر: | Journal of Atmospheric and Oceanic Technology. 15:1171-1187 |
بيانات النشر: | American Meteorological Society, 1998. |
سنة النشر: | 1998 |
مصطلحات موضوعية: | Atmospheric Science, Mathematical optimization, Advection, Ocean Engineering, Control volume, Term (time), symbols.namesake, Operator (computer programming), Euler's formula, symbols, Biharmonic equation, Applied mathematics, Diffusion (business), Mathematics |
الوصف: | Leonard’s widely used QUICK advection scheme is, like the Bryan–Cox–Semtner ocean model, based on a control volume form of the advection equation. Unfortunately, in its normal form it cannot be used with the leapfrog–Euler forward time-stepping schemes used by the ocean model. Farrow and Stevens overcame the problem by implementing a predictor–corrector time-stepping scheme, but this is computationally expensive to run. The present paper shows that the problem can be overcome by splitting the QUICK operator into an O(δx2) advective term and a velocity dependent biharmonic diffusion term. These can then be time-stepped using the combined leapfrog and Euler forward schemes of the Bryan–Cox–Semtner ocean model, leading to a significant increase in model efficiency. A small change in the advection operator coefficients may also be made leading to O(δx4) accuracy. Tests of the improved schemes are carried out making use of a global eddy-permitting ocean model. Results are presented from cases where th... |
تدمد: | 1520-0426 0739-0572 |
DOI: | 10.1175/1520-0426(1998)015<1171:iasfom>2.0.co;2 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::314d330f73d3a1b5737fb5d46586b1ac https://doi.org/10.1175/1520-0426(1998)015<1171:iasfom>2.0.co;2 |
Rights: | OPEN |
رقم الانضمام: | edsair.doi...........314d330f73d3a1b5737fb5d46586b1ac |
قاعدة البيانات: | OpenAIRE |
تدمد: | 15200426 07390572 |
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DOI: | 10.1175/1520-0426(1998)015<1171:iasfom>2.0.co;2 |