An Accurate Semi-Lagrangian Scheme for Raindrop Sedimentation

F. Xiao, T. Okazaki, M. Satoh

doi:10.1175/1520-0493(2003)131<0974:aassfr>2.0.co;2

An Accurate Semi-Lagrangian Scheme for Raindrop Sedimentation

DOI Web Site 被引用文献3件オープンアクセス

書誌事項

公開日: 2003-05

DOI

10.1175/1520-0493(2003)131<0974:aassfr>2.0.co;2

公開者: American Meteorological Society

この論文をさがす

CiNii Books

説明

Abstract An accurate method for explicitly computing the transport of rainwater is devised and tested. The scheme is conservative and positive definite. A cubic polynomial is employed to approximate the spatial distribution of the rainwater; thus, the resulting scheme is of high accuracy. With a slope modification, numerical oscillations can be easily eliminated in the vicinity of large gradients. Being essentially of Lagrangian type, the scheme is stable even with a Courant–Friedrichs–Lewy number larger than 1. The scheme was tested with the numerical example of Kato and was found to have a computational stability similar to the box-Lagrangian scheme, but it is more accurate.