Diffusion of Zonal Variables Using Node-Centered Diffusion Solver

Yang, T B

Lawrence Livermore National Laboratory

关键词: Diffusion;    71 Classical And Quantumm Mechanics, General Physics;    Electron Temperature;    Physics;   

DOI  :  10.2172/924607
RP-ID  :  UCRL-TR-233724
RP-ID  :  W-7405-ENG-48
RP-ID  :  924607

美国|英语

来源: UNT Digital Library

【 摘 要 】

Tom Kaiser [1] has done some preliminary work to use the node-centered diffusion solver (originally developed by T. Palmer [2]) in Kull for diffusion of zonal variables such as electron temperature. To avoid numerical diffusion, Tom used a scheme developed by Shestakov et al. [3] and found their scheme could, in the vicinity of steep gradients, decouple nearest-neighbor zonal sub-meshes leading to 'alternating-zone' (red-black mode) errors. Tom extended their scheme to couple the sub-meshes with appropriate chosen artificial diffusion and thereby solved the 'alternating-zone' problem. Because the choice of the artificial diffusion coefficient could be very delicate, it is desirable to use a scheme that does not require the artificial diffusion but still able to avoid both numerical diffusion and the 'alternating-zone' problem. In this document we present such a scheme.