A GEOMETRIC APPROACH TO HIGH-RESOLUTION TVD SCHEMES

被引:54
作者
GOODMAN, JB
LEVEQUE, RJ
机构
[1] NYU, COURANT INST MATH SCI, NEW YORK, NY 10012 USA
[2] UNIV CALIF LOS ANGELES, LOS ANGELES, CA 90024 USA
[3] NASA, LANGLEY RES CTR, INST COMP APPLICAT SCI & ENGN, HAMPTON, VA 23665 USA
关键词
D O I
10.1137/0725019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:268 / 284
页数:17
相关论文
共 20 条
[1]   THE PIECEWISE PARABOLIC METHOD (PPM) FOR GAS-DYNAMICAL SIMULATIONS [J].
COLELLA, P ;
WOODWARD, PR .
JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 54 (01) :174-201
[3]  
Godunov S.K., 1959, MAT SBORNIK, V47, P271
[4]   ON UPSTREAM DIFFERENCING AND GODUNOV-TYPE SCHEMES FOR HYPERBOLIC CONSERVATION-LAWS [J].
HARTEN, A ;
LAX, PD ;
VAN LEER, B .
SIAM REVIEW, 1983, 25 (01) :35-61
[5]   FINITE-DIFFERENCE APPROXIMATIONS AND ENTROPY CONDITIONS FOR SHOCKS [J].
HARTEN, A ;
HYMAN, JM ;
LAX, PD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (03) :297-322
[6]   HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION-LAWS [J].
HARTEN, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1983, 49 (03) :357-393
[7]  
KRUZKOV SN, 1970, MATH USSR SB, V10, P217
[8]   FORMATION AND DECAY OF SHOCK-WAVES [J].
LAX, PD .
AMERICAN MATHEMATICAL MONTHLY, 1972, 79 (03) :227-+
[9]  
LAX PD, 1973, CBMS NSF REGIONAL C, V11
[10]  
Oleinik O.A., 1963, AM MATH SOC TRANSL, V33, P277