Boundary-fitted grid in landscape modeling

Landscape modeling requires the delineation of system boundaries and interior features. Quite often, these components are complex and difficult to accurately represent. A rectangular grid is used to represent the study and adjacent non-study areas in most cases. When the non-study area occupies a large portion of the grid, computer memory is wasted, and computational time increases. An elliptical grid generator for non-orthogonal curvilinear coordinates is used to generate a boundary-fitted grid for a landscape model. In a boundary-fitted grid coordinate system, one coordinate axis follows the landscape domain boundary and is non-orthogonal to the second axis. The boundary-fitted grid uses elliptic partial differential equations to distribute grid points inside the landscape domain. Although the boundary-fitted grid follows the domain boundary, the grid pattern and point allocation remain structured. Thus, a landscape model can use a boundary-fitted grid without changing the model’s data structure or the computational scheme. In this study, a boundary-fitted grid and a raster-based grid were applied to the Everglades Landscape Fire Model. Use of the boundary-fitted grid decreased model simulation time by about one fifth and computer storage by 58% relative to the raster-based grid. Also, the linear characteristics of interior geographical features such as rivers and airboat trails were preserved by the boundary-fitted grid, but not by the raster-based grid. This preservation provided a more reasonable base map for simulating ecological processes, such as fire across heterogenous landscapes.     

二阶拟线性椭圓型Euler方程组解的Pohozaev型恒等式及其应用

本文对于二阶椭圆型Euler方程组 -∑D_αF_(q_α~i)(x,u,Du)+F_(ui)(x,u,Du)=0得到了一些积分恒等式,利用这些恒等式证明了某些方程组非平凡解的不存在性。     

超临界增长椭圆方程组广义解的正则性

In this paper, the author proved the partial regularity of the generalized solutions of the super critical growth elliptic system. Furthermore, the everywhere regularity of generalized solutions of three special systems are obtained.     

一类半线性椭圆问题的瀑布型多重网格法

采用瀑布型多重网格法求解一类半线性椭圆问题.在适当条件下，证明了该算法具有能量范数意义下最优收敛阶和拟最优计算复杂度.     

单缸柴油机曲轴装配方式的改进设计

曲轴部件是整台柴油机的关键部件,装配质量的好坏直接影响柴油机的性能.目前单缸柴油机曲轴装配主要是手工装配,转配过程费事费力.通过重新设计工艺工装设备,使用液压静压方式,可以减少工人劳动强度、提高劳动生产率.     

基于ansys的支座结构优化设计

建立了支座优化分析的数学模型，选用solid92单元进行网格划分，对支座筒体内孔的下半部分施加15E6Pa的压力。选择支座筒体外径为设计变量，支座位移和为状态变量，并设置最小值为0.35mm，支座体积为目标函数。采用零阶方法进行优化计算，得到满足许用应力和位移和的最小筒体外径。     

液压升降折叠宽幅喷杆喷架的结构设计

针对目前植保机械中所使用的喷杆喷架稳定性差、折叠伸展需要人工辅助等问题,设计出了一种液压升降折叠宽幅喷杆喷架。对喷杆喷架的升降装置、90°液压油缸折叠机构、180°液压油缸折叠机构和整体宽幅喷架进行了理论分析和结构设计,并建立了关键部件的三维模型。通过田间试验验证了该装置设计方案的合理性,为研发先进适用、具有自主知识产权的液压升降折叠宽幅喷杆喷架奠定了基础。     

震动气吸针式精量播种机的性能与应用

为适应园艺农业的发展，在借鉴国外同类播种设备的基础上，开发出一种国产全智能精量播种机。本文介绍了该机的工作过程、主要性能指标及需改进的方向。     

The Multiple Solutions for a Class of Quasilinear Elliptic Equations

A three critical point theorem is proved. As its applications, Dirichlet problem for a class of quasilinear elliptic equations cf second order is considered.