OVERLAPPING GRID METHOD FOR SOLVING THE PARTIAL DIFFERENTIAL EQUATIONS USING THE SBP-SAT TECHNIQUE

被引：0
|
作者：
Sun, Cheng [1 ]
Jiang, Guan-xi-xi [1 ]
Li, Xin-zhu [1 ]
Yang, Yong [1 ]
Yang, Zai-lin [1 ,2 ]
机构：
[1] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Heilongjiang, Peoples R China
[2] Harbin Engn Univ, Minist Ind & Informat Technol, Key Lab Adv Mat Ship & Mech, Harbin 150001, Heilongjiang, Peoples R China
来源：
PROCEEDINGS OF THE 2019 13TH SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES AND DEVICE APPLICATIONS (SPAWDA) | 2019年
基金：
中国国家自然科学基金;
关键词：
Summation by parts operators; Finite difference methods; Boundary conditions; Simultaneous approximation terms; Overlapping grid; Higher order methods; Energy method; Stability; BOUNDARY-CONDITIONS; PROPAGATION; MEDIA;
D O I：
10.1109/spawda.2019.8681800
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A SBP-SAT method with high time-stability of partial differential equations is derived that naturally introduce overlapping grid based on the Hermite interpolation. Derivative approximations that satisfy the summation by parts property and the boundary conditions are utilized using a penalty technique, simultaneous approximation terms, to guarantee the summation by parts property of the system. Time-stability is proven using the energy method and the finite difference methods based on this theory, which can establish the scheme that has incomparable advantages for simulating geometric discontinuity or complex media. The results show that the overlapping grid method of SBP-SAT methodology has better data transmission on the boundary and higher overall stability of the system.
引用
收藏
页数：6
相关论文
共 50 条
12345