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.     

电导法测定林木种子活力的研究

本文研究了林木种子电导法测定条件和测定电导率或相对电导率,通过回归分析建立电导率或相对电导率与种子活力指数的相关方程,找出了电导法测定林木种子活力的方法。     

三阶时滞泛函微分方程解的渐近性

本文讨论一类三阶时滞泛函微分方程解的渐近性质,给出了若干解的有界性及解趋于零的判定准则.     

含蜡原油管道蜡沉积研究进展

蜡沉积会减少管道的有效内径，增大输送压力，降低管道的输送能力，增加清管频率，甚至造成蜡堵事故。介绍了国内外有关析蜡的热力学模型、蜡沉积机理及蜡沉积的动力学模型的研究进展状况，提出了一些研究建议。     

微生物谷氨酰胺转胺酶(MTG)分批发酵模型的建立

在本文中，以本实验优化好的工艺条件，建立了关于微生物谷氨酰胺转胺酶分批发酵的数学模型方程细胞生长的动力学方程、产物合成的动力学方程和底物消耗的动力学方程。并对所建立的动力学方程进行了生物统计分析，结果表明所建立的模型具有一定的可信度。     

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。     

河南省杨树材种出材率表的研编

用削度方程和单株带皮—去皮胸径的转换关系式两个模型对河南省杨树进行计算机理论造材．经精度检验，满足要求，方法可行，依此编制了河南省杨树材种出材率表。     

某类高阶非线性偏微分方程组弱解的正则性

本文研究一类2k阶非线性偏微分方程组之解的正则性,没有假定通常的椭圆性条件而只假定所谓"无穷远处"的椭圆性条件,证明了解的k-1阶导数为李普希兹连续的.     

以电导法配合Log istic方程确定茶梅‘小玫瑰’的抗寒性

 摘　要: 以不同处理时间、不同低温处理下茶梅‘小玫瑰’叶片的电解质外渗率(REC) 变化作曲线,并结合Logistic方程分别计算茶梅的半致死温度(LT50 ) , 结果发现在低温处理6 h以上, 茶梅叶片的REC均随着处理温度的降低而呈“S”形上升, 由此计算出“S”形拐点对应的温度即为茶梅叶片的LT50 , 其温度值在- 1215℃至- 14℃之间, 这可认为是茶梅抗寒能力的重要指标。关键词: