CONSERVATIVE FRONT TRACKING IN HIGHER SPACE DIMENSIONS

作     者：James Glimm Department of Applied Mathematics and Statistics,University at Stony Brook, Stony Brook, USA NY 11794 3600 Center for Data Intensive Computing,Brookhaven National Laboratory, Upton, USA NY 11793 5000 Li Xiaolin Liu Yingjie (Department 

作者机构：Department of Applied Mathematics and StatisticsUniversity at Stony Brook Stony Brook USA NY 11794-3600 Center for Data Inte nsive ComputingBrookhaven National Laboratory Upton USA NY 11793-5000 Department of Applied Mathematics and Statistics University at Stony Brook Stony Brook USA NY 11794-3600) 

出 版 物：《Transactions of Nanjing University of Aeronautics and Astronautics》 (南京航空航天大学学报（英文版）)

年 卷 期：2001年第18卷第Z1期

页      面：1-15页

学科分类：080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：the MICS program of the U.S.Department of Energy DE-FG0 2 -90 ER2 5 0 84 the Departm ent of Energy ContractDE-AC0 2 -98CH1-886and the Office of Inertial Fusion the Army Research Office Grant DAAD19-0 1-1-0 64 2 the National ScienceFoun 

主　　题：conservation front tracking conservation difference 

摘      要：September 12,2001 we propose a fully conservative front tracking algorithm in two space dimension. This algorithm first uses the point shifted algorithm on two adjacent time levels and then constructs space time hexahedra as computational units. We develop and prove a successful geometric construction under certain interface requirement. The algorithm has a first order local truncation error for cells near the tracked discontinuity, which is an improvement by one order of accuracy over most finite difference schemes, which have O (1) local truncation errors near discontinuities.