OVERLAPPING GRID METHOD FOR SOLVING THE PARTIAL DIFFERENTIAL EQUATIONS USING THE SBP-SAT TECHNIQUE
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.
Summation by parts operators Finite difference methods Boundary conditions Simultaneous approximation terms Overlapping grid Higher order methods Energy method Stability
Cheng SUN Guan-xi-xi JIANG Xin-zhu LI Yong YANG Zai-lin YANG
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, P.R.China College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, P.R.China
国际会议
哈尔滨
英文
319-324
2019-01-11（万方平台首次上网日期，不代表论文的发表时间）