A NOTE ON SPLITTING ERRORS FOR ADVECTION-REACTION EQUATIONS

被引:39
作者
HUNDSDORFER, W
VERWER, JG
机构
[1] CWI, 1090 GB Amsterdam
关键词
HYPERBOLIC PDES; LINEAR ADVECTION; OPERATOR SPLITTING;
D O I
10.1016/0168-9274(95)00069-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we consider proper ways to combine numerical schemes for advective transport and nonlinear chemistry. Obvious combinations are obtained with splitting in a so-called fractional step approach. We shall discuss for this approach correct implementations of source terms and inflow boundary conditions. Further we consider the use of multistep methods with explicit treatment of the advection terms and implicit chemistry.
引用
收藏
页码:191 / 199
页数:9
相关论文
共 13 条
[1]  
ASHER UM, 1993, 9315 U BRIT COL DEP
[2]   AN IMPLICIT-EXPLICIT MULTISTEP METHOD OF THE APPROXIMATION OF PARABOLIC EQUATIONS [J].
CROUZEIX, M .
NUMERISCHE MATHEMATIK, 1980, 35 (03) :257-276
[3]  
HAIRER E, 1907, SOLVING ORDINARY DIF, V1
[4]   METHOD OF LINES AND DIRECT DISCRETIZATION - A COMPARISON FOR LINEAR ADVECTION [J].
HUNDSDORFER, W ;
TROMPERT, RA .
APPLIED NUMERICAL MATHEMATICS, 1994, 13 (06) :469-490
[5]  
KOREN B, 1993, NOTES NUMERICAL FLUI, V45
[6]   A STUDY OF NUMERICAL-METHODS FOR HYPERBOLIC CONSERVATION-LAWS WITH STIFF SOURCE TERMS [J].
LEVEQUE, RJ ;
YEE, HC .
JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 86 (01) :187-210
[7]  
SANZSERNA JM, 1987, NUMER MATH, V50, P405, DOI 10.1007/BF01396661
[8]   A CLASS OF MONOTONE-INTERPOLATION SCHEMES [J].
SMOLARKIEWICZ, PK ;
GRELL, GA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 101 (02) :431-440
[9]  
SOMMEIJER BP, 1993, CWI NMR9316 REP
[10]   ON CONSTRUCTION AND COMPARISON OF DIFFERENCE SCHEMES [J].
STRANG, G .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1968, 5 (03) :506-+