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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Finite-Time Splash for the free boundary incompressible Navier–Stokes equations (I)
自由边界 不可压缩 Navier-Stokes方程 有限时间飞溅
2023/5/18
In this talk, we consider the incompressible Navier-Stokes equations with free boundary, which has a finite-time splash singularity for a large class of specially prepared initial data. The approach i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time behavior of Alfven waves in a flowing plasma
阿尔文波 流动 等离子体 长期行为
2023/4/28
In this talk, we consider the long-time behavior of the linearized MHD equations around a steady flowing plasma. We confirm the following physical phenomenon: there will be a generation of a magnetic ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A constructive proof of finite time blowup of 3D incompressible Euler equations with smooth data
光滑数据 三维不可压缩 欧拉方程 有限时间爆破 构造性证明
2023/5/10
Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In this talk, we will present a ...
On time-invariant purified-output-based discrete time control
Affine linear dynamical systems in discrete time affine parameters
2015/8/10
In an earlier paper, we have demonstrated that the family of all affine non-anticipative output-based control laws in a discrete time linear dynamical system affected by uncertain disturbances is equi...
Blending Dual Time Stepping and Newton-Krylov Methods for Unsteady Flows
Blending Dual Time Stepping Newton-Krylov Methods Unsteady Flows
2015/7/3
We explore the idea of using nonlinear schemes as preconditioners in Newton-Krylov schemes for unsteady flow computations. Analysis shows that left preconditioning changes the Newton scheme in a...
Optimum Shape Design for Unsteady Flows with Time-Accurate Continuous and Discrete Adjoint Methods
Optimum Shape Design Unsteady Flows Time-Accurate Continuous Discrete Adjoint Methods
2015/7/2
This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their corresponding boundary co...
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...
OPTIMUM SHAPE DESIGN FOR UNSTEADY FLOWS USING TIME ACCURATE AND NON-LINEAR FREQUENCY DOMAIN METHODS
ACCURATE NON-LINEAR FREQUENCY DOMAIN METHODS
2015/7/2
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and their corresponding boundary conditi...
OPTIMAL CONTROL OF UNSTEADY FLOWS USING A TIME ACCURATE METHOD
OPTIMAL CONTROL UNSTEADY FLOWS USING ACCURATE METHOD
2015/7/2
This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their cor responding boundary c...
Applications of Dual Time Stepping to Fully Implicit Runge-Kutta Schemes for Unsteady Flow Calculations
Unsteady Flow Calculations Time Stepping
2015/6/18
Accordingly, a fast steady state solver is an essential building block for an implicit
scheme. This leads to a circular situation. We need an implicit scheme for fast
convergence to a steady state, ...
Astronomers at the University of Sydney are part of a team that has taken images of the thermonuclear fireball from a 'nova star' for the first time tracking the explosion as it expands.
Long-time properties of MHD turbulence and the role of symmetries
Long-time properties MHD turbulence the role of symmetries Fluid Dynamics
2012/4/20
We investigate long-time properties of three-dimensional MHD turbulence in the absence of forcing and examine in particular the role played by the quadratic invariants of the system and by the symmetr...
Realistic time-scale fully atomistic simulations of surface nucleation of dislocations in pristine nanopillars
Dislocations Molecular Dynamics Atomistic simulation Nucleation Activation Energy
2012/2/27
We use our recently proposed accelerated dynamics algorithm (Tiwary and van de Walle, 2011) to calculate temperature and stress dependence of activation free energy for surface nucleation of dislocati...
Transient behavior in systems with time-delayed feedback
time-delayed feedback steady states
2010/4/6
We investigate the transient times for the onset of control of steady states by time-delayed feedback. The optimization of control by minimising the transient time before control becomes effective is ...
Time Varying Hydromagnetic Couette Flow with Heat Transfer of a Dusty Fluid in the Presence of Uniform Suction and Injection Considering the Hall Effect
Two phase flow Dusty fluids Heat transfer Hydromagnetic flow
2009/10/9
The time varying Couette flow with heat transfer of a dusty viscous incompressible electrically conducting fluid under the influence of a constant pressure gradient is studied without neglecting the H...