A Two-Step Shape-Preserving Advection Scheme  

作　　者：宇如聪 

机构地区：[1]LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080,

出　　处：《Advances in Atmospheric Sciences》1994年第4期479-490,共12页大气科学进展（英文版）

基　　金：This work is supported by the Ntional Natural Science Foundation of China.

摘　　要： This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape-preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme.This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape-preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme.

关 键 词：Shape-preserving Non-oscillation positive definite advection scheme 

分 类 号：P434[天文地球—大气科学及气象学]