پديدآورندگان :
Mousavi Yeganeh S solmazmosavi@ymail.com Department of Mathematics, Faculty of Basic Science, Sahand University of Technology, P.O.Box 51335/1996, Sahand New Town, Tabriz, Iran , Farzi J solmazmosavi@ymail.com Department of Mathematics, Faculty of Basic Science, Sahand University of Technology, P.O.Box 51335/1996, Sahand New Town, Tabriz, Iran
كليدواژه :
Conservation laws , Direct space , time discretizations , Non , oscillatory schemes , Flux limiter.
چكيده فارسي :
We show the construction and analysis of non-oscillatory direct space-time (DST) discretizations
schemes for approximation of linear scaler conservation laws. We develop a nonoscillatory
scheme by designing an appropriate limiting function on the flux function. We
implement this procedure on the optimal order DST scheme. The resulting scheme has formal
high order accuracy and near the discontinuities it the solution is sharp and non-oscillatory.
We justify the new scheme with a numerical test based on advection equation and demonstrate
the accuracy of the solution and the mentioned non-oscillatory behavior.
