实时数值仿真几类并行与串行算法的特性分析

针对动力学系统实时数值仿真,分析了实时数值仿真的特点,概述了实时数值仿真算法的一般的构造思想.重点讨论和分析了几类实时数值仿真的并行算法的具体构造思想、方法,收敛阶、数值稳定性、加速比、并行效率、应用的特性.类似地分析了几类实时数值仿真的串行算法的构造特点、快速性、数值稳定性和计算复杂性等.并指出了进一步的研究方向.     

Class of modified parallel combined methods of real-time numerical simulation for a stiff system

A class of modified parallel combined methods of real-time numerical simulation are presented for a stiff dynamic system. By combining the parallelism across the system with the parallelism across the method, and relaxing the dependence of stage value computation on sampling time of input function, a class of modified real-time parallel combined methods are constructed. Stiff and nonstiff subsystems are solved in parallel on a parallel computer by a parallel Rosen-brock method and a parallel RK method, respectively. Their order conditions and convergences are discussed. The numerical simulation experiments show that this class of modified algorithms can get high speed and efficiency.     

加筋层数对土工格栅加筋粘土土体变形及强度的影响

对土工格栅加筋粘土进行了固结不排水三轴压缩试验以研究加筋粘土的力学特性。试样含水率22．5％,布置的筋材层数分别为0—4层,围压分别为100、200、300kPa。试验结果表明,在粘土中加入土工格栅,可以有效约束试样的侧向变形,提高粘土的峰值强度,提高抗剪强度指标c、ψ值。试验结果同时反映出并不是筋材布置层数越多力学效果就越好,布置2层筋材的试样优于布置3或4层筋材的试样。