Analysis of a class of quasi-monotone and conservative semi-Lagrangian advection schemes

被引:1
作者
Bermejo, R [1 ]
机构
[1] Univ Complutense Madrid, Fac CC Matemat, Dept Matemat Aplicada, E-28040 Madrid, Spain
关键词
D O I
10.1007/PL00005425
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyze in the L-infinity-norm a class of semi-Lagrangian advective schemes introduced by the author and A. Staniforth in 1992 to improve the solution produced by numerical models for weather prediction and climate studies that use semi-Lagrangian advective schemes. The new quasimonotone and conservative semi-Lagrangian schemes are L-infinity-stable and converge optimally when the solution is sufficiently smooth.
引用
收藏
页码:597 / 623
页数:27
相关论文
共 50 条
[41]   Implementation of the Semi-Lagrangian Advection Scheme on a Quasi-Uniform Overset Grid on a Sphere [J].
李兴良 ;
陈德辉 ;
彭新东 ;
肖锋 ;
陈雄山 .
AdvancesinAtmosphericSciences, 2006, (05) :792-801
[42]   Implementation of the semi-Lagrangian advection scheme on a quasi-uniform overset grid on a sphere [J].
Xingliang Li ;
Dehui Chen ;
Xindong Peng ;
Feng Xiao ;
Xiongshan Chen .
Advances in Atmospheric Sciences, 2006, 23 :792-801
[43]   Implementation of the semi-Lagrangian advection scheme on a quasi-uniform overset grid on a sphere [J].
Li Xingliang ;
Chen Dehu ;
Peng Xindong ;
Xiao Feng ;
Chen Xiongshan .
ADVANCES IN ATMOSPHERIC SCIENCES, 2006, 23 (05) :792-801
[44]   Conservative semi-Lagrangian transport on a sphere and the impact on vapor advection in an atmospheric general circulation model [J].
Peng, XD ;
Xiao, F ;
Ohfuchi, W ;
Fuchigami, H .
MONTHLY WEATHER REVIEW, 2005, 133 (03) :504-520
[45]   A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection [J].
Behrens, J ;
Mentrup, L .
Recent Advances in Adaptive Computation, Proceedings, 2005, 383 :175-189
[46]   A simple and conservative operator-splitting semi-Lagrangian volume-of-fluid advection scheme [J].
Wang, Zhaoyuan ;
Yang, Jianming ;
Stern, Frederick .
JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (15) :4981-4992
[47]   An oscillation suppressing semi-Lagrangian solver for advection equation [J].
Xiao, F ;
Yabe, T ;
Ebisuzaki, T .
COMPUTER PHYSICS COMMUNICATIONS, 1999, 116 (01) :121-135
[48]   Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow [J].
Qiu, Jing-Mei ;
Shu, Chi-Wang .
JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (04) :863-889
[49]   CONSERVATIVE SEMI-LAGRANGIAN SCHEMES FOR A GENERAL CONSISTENT BGK MODEL FOR INERT GAS MIXTURES [J].
Cho, Seung Yeon ;
Boscarino, Sebastiano ;
Groppi, Maria ;
Russo, Giovanni .
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2022, 20 (03) :695-725