一维磁流体方程的非交错无振荡中心差分格式-南昌航空大学期刊网.pdfVIP

76 q (, 330063) []; ;; [ ] , , [] O2411 82 [ ] A [] 1001- 4926( 2010)03- 0076- 07 A Non- oscillatory C en tral D ifference Schem e w ith Nonstaggered G rids for th e 1-D M agnetohydrodynam ics Equations TAO Zhan- jing ZHEN Hua-sheng ( N anchang H ang kong Univ ersity, N anchang J iangx i 330063, Ch ina ) K ey w ord s: magnetohydrodynam ics; centraldifference scheme; nonoscillatory property; nonstaggered form A bstract: Based on piecewise linear reconstruction of cellaveraged and a proper selection of numericalderivative, a class of two- or- der non- oscillatory central difference schemeswith non- staggered grids for the one dmi ensional idealmagnetohydrodynam ics equa- tions is obtained. Two typicalnumericalexamples are given to verify the advantages of high- resolution and non- oscillatory and ease to calculate of these schemes. (LxF), , ,(MHD) , [ 1] [2] [3] ,, , ,WENO , - K , [4] [5] - [ 6] Lax- Friedrichs, 1 : [7- 8] Q = -Ñ # ( Qv ) ( 1) [ 4] t T 1 2 T , ( Qv ) t = -Ñ # [ Qvv + (p + B ) I3@ 3 -BB ] (2) 2 ,, CFL B t =Ñ @ ( v @B ) (3) ( 1/2) C 1 2 e = -Ñ # [ ( p + Qv ) v- ( v @B ) @B ] (4) , Lax - Friedrichs t C- 1