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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...
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
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...
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...
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...
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...
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...
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, ...
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 nanomechanical resonator is of very important characteristics in its application. Two categories of the tension-dominant and curvature-dominant nonlinearities are analyze...
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 (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...
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...
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 ...

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