Fluid-structure interaction of panel in supersonic fluid passage is studied with subcycling and spline interpolation based predict-correct scheme. The passage is formed with two parallel panels, one is rigid and the o...
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Fluid-structure interaction of panel in supersonic fluid passage is studied with subcycling and spline interpolation based predict-correct scheme. The passage is formed with two parallel panels, one is rigid and the other is flexible. The interaction between fluid flows and flexible panel is numerically studied, mainly focused on the effect of dynamic pressure and distance between two parallel panels. Subcycling and spline interpolation based predict-correct scheme is utilized to combine the vibration and fluid analysis and to stabilize long-term calculations to get accurate results. It’s demonstrated that the flutter characteristic of flexible panel is more complex with the increase of dynamic pressure and the decrease of distance between two parallel panels. Via analyzing the propagation and reflection of disturbance in passage, it’s determined as a main cause of the variations.
Density functional theory (DFT) offers computationally affordable way of describing static and dynamic properties of superfluid He-4. In general, the DFT models yield single particle-like Schrodinger equations with a ...
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Density functional theory (DFT) offers computationally affordable way of describing static and dynamic properties of superfluid He-4. In general, the DFT models yield single particle-like Schrodinger equations with a nonlinear potential term that accounts for all the many-body interactions. The resulting equations can be solved for small amplitude plane wave excitations in the bulk whereas fully numerical solution must be sought in more complicated cases. In this paper we propose a numerical method that can be used in solving the time-dependent nonlinear Schrodinger equation in both real and imaginary times. The method is based on operator splitting technique where each component operator is treated with a unitary semi-implicit Crank-Nicolson scheme. In order to increase the stability of the method for complex valued nonlinear potentials, a predict-correct scheme is employed in the simulations. The numerical calculations indicate that the scheme is numerically sufficiently stable and well behaving, exhibits high degree of parallelism, and produces results in agreement with the existing numerical data. In the numerical examples we apply the method to obtain dispersion relation of the bulk liquid and to calculate solvation and absorption spectrum of atomic boron solvated in superfluid helium. (C) 2003 Elsevier B.V. All rights reserved.
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