%0 Journal Article
%T Design and experiments of a new positive-definite renormalization scheme for advection-diffusion differential equation<br>平流扩散差分方程的新正定性重整化方案设计和试验
%A Hao Shi-Feng
%A Cui Xiao-Peng
%A <br>郝世峰
%A 崔晓鹏
%J 物理学报
%D 2012
%I 
%X Total mass conservation is a basic property of advection-diffusion differential equation. While since the difference schemes is not positive-definite, total mass is not conserved, caused by negative mass in numerical integration. Aiming at this problem, a new positive-definite renormalization scheme is proposed based on the physical meaning of negative mass. Experiments of point-source advection-diffusion show that the new renormalization scheme not only solves the positive-definite problem of advection-diffusion differential equation, but also keeps the property of total mass conservation. Compared with the renormalization scheme in the WRF model, the new positive-definite renormalization scheme has virtues of clear physical meaning and easier mannpulation.
%K positive-definite
%K renormalization scheme
%K total mass conservation<br>正定性
%K 重整化方案
%K 质量守恒
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=EA4AE3EE8E5D685E4DCC32150E481E20&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=38B194292C032A66&sid=82B8BE5348CC0CD4&eid=82B8BE5348CC0CD4&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=7