.png){kind=icon}
返回
CONTROL OF BIFURCATION STRUCTURES USING SHAPE OPTIMIZATION
.png){kind=icon}
OA
AI
DOI：10.1137/21M1418708.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Many problems in engineering can be understood as controlling the bifurcation structure of a given device. For example, one may wish to delay the onset of instability or bring forward a bifurcation to enable rapid switching between states. We propose a numerical technique for controlling the bifurcation diagram of a nonlinear partial differential equation by varying the shape of the domain. Specifically, we are able to delay or advance a given branch point to a target parameter value. The algorithm consists of solving a shape optimization problem constrained by an augmented system of equations, the Moore--Spence system, that characterize the location of the branch points. Numerical experiments on the Allen--Cahn, Navier--Stokes, and hyperelasticity equations demonstrate the effectiveness of this technique in a wide range of settings.
Keyword:
bifurcation analysis
shape optimization
Moore--Spence system
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
引用论文
Turbocharger motor-generator for improvement of transient performance in an internal combustion engine用于改善内燃机瞬态性能的涡轮增压器电动发电机.png)
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile EngineeringIF0
PREAI
分享收藏
查看更多内容