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Continuous Dependence for the 3D Primitive Equations of Large Scale Ocean Under random force

Chinese Quarterly Journal of Mathematics 2021年第3期36卷 296-307页

作者： LI Yuan-fei Department of Apllied Mathematics Guangzhou Huashang CollegeGuangzhou 511300China

In this paper,we consider the initial-boundary value problem for the large scale three-dimensional(3D)viscous primitive equations under random *** that the random force and the heat source satisfy the some assumptions,we firstly establish rigorous a priori bounds with coefficients which depend only on boundary data,initial data and the geometry of the problem,and then with the aid of these a priori bounds,the continuous dependence of the solution on changes in the heat source is obtained.

关键词： Primitive equations of the ocean The heat source Continuous dependence random force

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Density Waves in One-Dimensional Granular Flows Driven by Non-Uniform force Field

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Communications in Theoretical Physics 2013年第11期60卷 610-614页

作者：苏涛冯耀东赵宏武黄德财孙刚 Key Laboratory of Soft Matter Physics and Beijing National Laboratory for Condensed Matter Physics Institute of Physics Chinese Academy of Sciences Department of Applied Physics Nanjing University of Science and Technology

We introduce a non-uniform gravity-like force field to control the granular flow state in a quasi-one- dimensional system, and study the system by the molecular dynamics simulation. We find that the granular flow under non-uniform force field can be well described by a density wave with fixed time period if a fixed partiele number condition is used. The base frequency of the density wave does not depend on the position of the flow, while both the average density and oseillation amplitude of the flow vary continuously with the position. The formation of the density wave results from the aggregation of the granules in the decelerated region and the feed-back mechanism in the fixed particle number condition.

关键词： granular matter random force molecular dynamics simulation

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The Simulations of Annulus-Core Structure in CFB

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Chinese Journal of Chemical Engineering 2004年第1期12卷 27-32页

作者：欧阳洁李静海孙国刚 Department of Applied Mathematics Northwestern Polytechnical University Xi'an 710072 China Institute of Process Engineering Chinese Academy of Sciences Beijing 100080 China Institute of Process Engineering Chinese Academy of Sciences Beijing 100080 China Department of Chemical Engineering University of Petroleum Beijing 100083 China

In this paper, the stochastic particle-trajectory model is proposed for simulating the dynamic behavior of circulating fluidized bed (CFB). In our model, the motion of solid phase is obtained by calculating the individual particle trajectory while gas flow is obtained by solving the Navier-Stokes Equation including two-phase interaction. For the calculation of solid phase, the motion of each particle is decomposed into a collision process and a suspension process. In suspension process, the less important and/or unclear forces are described as a random force considering gravity, drag force and pressure gradient. As a result, the proposed model gives some numerical simulations of CFB. It indicates that the stochastic particle-trajectory model can be used to simulate qualitatively the annulus-core structure of CFB and the influences of stochastic factors cannot be ignored. In a CFB, the coupling of stochastic factors between two phases makes the radial voidage decreased. Moreover, the upward motion of particles is mitigated by both stochastic factors and turbulence between two phases.

关键词： simulation two-phase flow particle-trajectory model fluidization random force

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