| CONSERVATIVE FRONT TRACKING IN HIGHER SPACE DIMENSIONS |
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| 作者姓名： | James Glimm |
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| 基金项目： | 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 |
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| 摘 要： | INTRODUCTIONWe propose and demonstrate a tracking fi-nite difference algorithm which is( a) fully con-servative and ( b) improves local truncation errorby one order( from O( 1 ) to O( Δx) near trackeddiscontinuities.Discontinuities in the solutions of systems ofnonlinear hyperbolic conservation laws are widelyrecognized as a primary difficulty for numericalsimulation.Surprisingly,the nonlinearities actu-ally help,as they cause information,which flowsalong solution characteristics,to flow…
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CONSERVATIVE FRONT TRACKING IN HIGHER SPACE DIMENSIONS |
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| James Glimm.CONSERVATIVE FRONT TRACKING IN HIGHER SPACE DIMENSIONS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2001,18(Z1). |
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| Authors: | James Glimm Li Xiaolin |
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| Institution: | 1. Department of Applied Mathematics and Statistics,University at Stony Brook, Stony Brook, USA NY 11794-3600;Center for Data Inte nsive Computing,Brookhaven National Laboratory, Upton, USA NY 11793-5000
2. Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, USA NY 11794-3600) |
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| Abstract: | 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. |
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| Keywords: | conservation front tracking conservation difference |
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