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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear reciprocal transformations of bihamiltonian integrable hierarchies
双哈密尔顿 可积层次 线性互易变换 流体力学
2023/11/13
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transfo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear structural stability and linear dynamic instability of transonic steady-states to a hydrodynamic model for semiconductors
跨音速稳态 非线性结构稳定性 线性动态不稳定性 半导体 流体动力学模型
2023/5/8
For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations
三维等熵 可压缩 Navier-Stokes方程中 Couette流 线性稳定性
2023/5/10
Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on . We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navi...
Non-linear modal interactions in the oscillations of a liquid drop in a gravitational "eld
Liquid drop Modal interactions Bifurcations
2015/8/27
Non-linear modal interactions in the dynamics of a vibrating drop are examined. The partial di!erential equations governing the drop vibrations are formulated assuming potential #ow and incompressibil...
An Extension of Energy Stable Flux Reconstruction to Unsteady,Non-linear,Viscous Problems on Mixed Grids
Extension Energy Stable Flux Reconstruction Unsteady Non-linear Viscous Problems Mixed Grids
2015/7/3
This paper extends the high-order Flux Reconstruction (FR) approach to the treatment of non-linear diffusive fluxes on triangles. The FR approach for solving diffusion problems is re...
On the Non-linear Stability of Flux Reconstruction Schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method Spectral difference method Non-linear stability
2015/7/3
The flux reconstruction (FR) approach unifies various high-order schemes, in cluding collocation based nodal discontinuous Galerkin (DG) methods, and all spectral difference methods (at le...
The computational efficiency of non-linear frequency domain methods
Non-linear Frequency Harmonic Balance Unsteady Fluid Dynamics
2015/7/2
This paper demonstrates efficient solver technologies applied to the non-linear frequency domain (NLFD) method.The basis of the NLFD method is to assume the time period of the solutions oscillat...
NON-LINEAR FREQUENCY DOMAIN BASED OPTIMUM SHAPE DESIGN FOR UNSTEADY THREE-DIMENSIONAL FLOWS
NON-LINEAR FREQUENCY DOMAIN BASED OPTIMUM SHAPE DESIGN UNSTEADY THREE-DIMENSIONAL FLOWS
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 the corresponding boundary condition...
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...
FULLY NON-LINEAR CFD TECHNIQUES FOR SHIP PERFORMANCE ANALYSIS AND DESIGN
NON-LINEAR CFD TECHNIQUES PERFORMANCE ANALYSIS DESIGN
2015/7/1
Non-oscillatory discretization methods based on the Lo-cal Extremum Diminishing principle, which were origi-nally devised for compressible flow, are applied to the free-surface evolution equation. Mor...
Absolute linear instability in laminar and turbulent gas/liquid two-layer channel flow
Absolute linear instability laminar and turbulent gas/liquid two-layer channel flow Fluid Dynamics
2012/4/20
We study two-phase stratified flow where the bottom layer is a thin laminar liquid and the upper layer is a fully-developed gas flow. The gas flow can be laminar or turbulent. To determine the boundar...
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...
On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method
Nonlinear beam theory Moving mass-beam interaction Euler--Bernoulli beam theory Reproducing kernel particle method (RKPM) Galerkin method (GM)
2012/2/24
This paper deals with the capabilities of linear and nonlinear beam theories in predicting the dynamic response of an elastically supported thin beam traversed by a moving mass. To this end, the discr...
Non-Linear Dynamic Analysis of Arch Dams: Eulerian and Lagrangian Solutions
Fluid-structure interaction Eulerian approach Lagrangian approach Drucker-Prager yield criterion
2009/10/13
In this study, Eulerian and Lagrangian finite element formulations are given for the dynamic interaction problem of a fluid-structure system. Non-linear dynamic analyses of Karakaya arch dam were perf...