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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximal $L^1$-regularity and application to a free boundary problem of Navier-Stokes equations near half-space in critical space (I)
临界空间 近半空间 纳维-斯托克斯方程 最大$L^1$-正则性 自由边界问题
2023/4/17
In this talk, time-dependent free surface problem for the incompressible Navier-Stokes equations which describes the motion of viscous incompressible fluid nearly half-space are considered. We will di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Application of Continuous Adjoint Method for Shape Optimization in Navier-Stokes Flow
连续伴随法 纳维-斯托克斯流 形状优化
2023/5/8
In this work, the shape optimization problem of a solid immersed in the incompressible fluid governed by Navier-Stokes equations is considered. Based on the continuous adjoint method, the shape gradie...
IUTAM Symposium on Viscoplastic flows: from theory to application
IUTAM Seminar Viscoplastic flow Theory The application
2017/12/13
IUTAM Symposium on Viscoplastic flows: from theory to application
Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
MEMS oscillators Associative memory Phase-locked motion Coupled oscillators
2015/8/27
We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare t...
Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations
High-Order Energy Stable Flux Reconstruction Schemes Euler Equations
2015/7/3
The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstructi...
Application of the Time Spectral Method to Periodic Unsteady Vortex Shedding
Time Spectral Method Periodic Unsteady Vortex Shedding
2015/7/2
The Time Spectral method has been proposed for the fast and efficient computation of periodic unsteady flows. The algorithm has been validated with both 2D and 3D test cases and applied suc...
Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
Coupled analysis Fault zone Fluid flow Mixed formulation Stabilized finite elements
2015/7/1
Finite element simulations of coupled solid-deformation/fluid-diffusion occurring in earthquake fault zones often require high-fidelity descriptions of the spatial and temporal variations of excess po...
A Multifidelity Gradient-Free Optimization Method and Application to Aerodynamic Design
Optimization Method Aerodynamic Design
2015/6/18
The use of expensive simulations in engineering design optimization often rules out
conventional techniques for design optimization for a variety of reasons, such as lack of
smoothness, unavailabili...
Superstatistics as the statistics of quasi-equilibrium states: Application to fully developed turbulence
Superstatistics quasi-equilibrium states developed turbulence
2011/8/18
Abstract: In non-equilibrium states, currents are produced by irreversible processes that take a system toward the equilibrium state, where the current vanishes. We demonstrate, in a general setting, ...
Kinematic dynamo simulations of von Kármán flows: application to the VKS experiment
application to the VKS experiment von Karman flows
2011/8/31
The VKS experiment has evidenced dynamo action in a highly turbulent liquid sodium von Karman ow [R. Monchaux et al., Phys. Rev. Lett. 98, 044502 (2007)]. However, the existence and the onset of a d...
Nonlinear dynamic response of beam and its application in nanomechanical resonator
Resonator Dynamic response Dynamic nonlinearity Dimensional analysis
2012/2/24
Nonlinear dynamic response of nanomechanical resonator is of very important characteristics in its application. Two categories of the tension-dominant and curvature-dominant nonlinearities are analyze...
Application of color structured light pattern to measurement of large out-of-plane deformation
Out-of-plane deformation Surface contouring Color structured light Plate deflection Rectangular tube buckling
2012/2/28
Measurement of out-of-plane deformation is significant to understanding of the deflection mechanisms of the plate and tube structures. In this study, a new surface contouring technique with color stru...
C1 natural element method for strain gradient linear elasticity and its application to microstructures
Strain gradient linear elasticity C1 natural element method Sibson interpolation Microstructures Size effects
2012/2/24
C1 natural element method (C1 NEM) is applied to strain gradient linear elasticity and size effects on microstructures are analyzed. The shape functions in C1 NEM are built upon the natural neighbor i...
Unsteady aerodynamics modeling for flight dynamics application
Unsteady aerodynamics High angle of attack Mathematical model Flight dynamics Bifurcation analysis Post-stall maneuver
2012/2/24
In view of engineering application, it is practicable to decompose the aerodynamics into three components: the static aerodynamics, the aerodynamic increment due to steady rotations, and the aerodynam...
Application of an Internal Variable Model to the Mushy Zone in Alloy Solidification
Solidification Mushy region Internal variable
2009/10/13
In this study, the solidi cation of a generic binary alloy in a two-dimensional cavity is numerically investigated. The mushy region that is formed during solidification is considered a non-Newtonian ...