

浏览全部资源
扫码关注微信
新疆大学数学与系统科学学院
Published:2022
移动端阅览
[1]李伟,黄鹏展.流体-流体相互作用模型的无条件稳定格式[J].新疆大学学报(自然科学版)(中英文),2022,39(05):522-529.
[1]李伟,黄鹏展.流体-流体相互作用模型的无条件稳定格式[J].新疆大学学报(自然科学版)(中英文),2022,39(05):522-529. DOI: 10.13568/j.cnki.651094.651316.2021.11.21.0001.
DOI:10.13568/j.cnki.651094.651316.2021.11.21.0001.
流体-流体相互作用模型是大气海洋模型的一个简单形式.通过考虑求解流体-流体相互作用问题的数值逼近方法
建立了全离散方法的无条件稳定性
并通过数值实验验证了理论结果.
The fluid-fluid interaction is viewed as a simplified version of the atmosphere-ocean coupling. This paper considers numerical approximations for solving the fluid-fluid interaction problem. The unconditional stability is established and some numerical tests are provided to verify the theoretical results.
CONNORS J M,HOWELL J S,LAYTON W J.Decoupled time stepping methods for fluid-fluid interaction[J].SIAM J Numer Anal,2012,50(3):1297-1319.
BRESCH D,KOKO J.Operator-splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids[J].Int J Appl Math Comput Sci,2006,16(4):419-429.
LI J,HUANG P Z,SU J,et al.A linear,stabilized,non-spatial iterative,partitioned time stepping method for the nonlinear Navier-Stokes/Navier-Stokes interaction model[J].Bound Value Probl,2019,2019:1-19.
LI J,HUANG P Z,ZHANG C,et al.A linear,decoupled fractional time-stepping method for the nonlinear fluid-fluid interaction[J].Numer Methods Part Differ Equ,2019,35(5):1873-1889.
LI W,HUANG P Z.A two-step decoupled finite element algorithm for a nonlinear fluid-fluid interaction problem[J].Univ Politeh Buchar Sci Bull Ser A Appl Math Phys,2019,81(4):107-118.
LI W,HUANG P Z,HE Y N.Grad-div stabilized finite element schemes for the fluid-fluid interaction model[J].Commun Comput Phys,2021,30(2):536-566.
李伟,黄鹏展.流体相互作用模型的粘性分离有限元方法[J].数学物理学报,2020,40(5):1362-1380.
ZHANG Y H,HOU Y R,SHAN L.Stability and convergence analysis of a decoupled algorithm for a fluid-fluid interaction problem[J].SIAM J Numer Anal,2016,54(5):2833-2867.
王小娟,贾宏恩.不可压缩的Brinkman-Forchheimer方程的回溯两重网格法[J].新疆大学学报(自然科学版)(中英文),2021,38(3):275-284.
SHEN J,XU J.Convergence and error analysis for the scalar auxiliary variable(SAV) schemes to gradient flows[J].SIAM J Numer Anal,2018,56(5):2895-2912.
AGGUL M,EROGLU F,KAYA S,et al.A projection based variational multiscale method for a fluid-fluid interaction problem[J].Comput Methods Appl Mech Engrg,2020,365(15):112957.
0
Views
74
下载量
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621