An implicit LU-SGS scheme for two-dimensional shallow water equation computation on unstructured grids was presented. 针对浅水数值模拟的特点,建立了可以在非结构网格上求解浅水方程的LU-SGS隐式算法。
Grid overlapping for implicit parallel computation of N-S equations N-S方程隐式分区并行计算
The numerical gap between the parametric equation and the approximate implicit representation may result in problems such as the unreliability in geometrical computation. Base on the practical need, the concepts interval implicitization of rational curves and surfaces are presented. 逼近隐式曲线曲面与参数曲线曲面的数值差距可导致几何计算不稳定性等问题,基于实际问题的需要,提出了参数曲线曲面区间隐式化的概念。
The implicit dynamic method has higher efficiency than the implicit static method due to less computation time. 实际模拟时,隐式动力学算法计算时间少于隐式静力学算法,效率较高。
Multi-grid technique ( MG) and three dimensional strongly implicit procedure ( TSIP) are studied to speed up the convergence rate of computation. 在数值求解中采用了三维强隐式方法和多网格技术,大大提高了数值计算的收敛速度。
For critical state model, the author derives an explicit formula of matrix H, which is used in implicit computation scheme. 对临界状态模型推导了用于隐式计算格式的H矩阵的显式表达式。
The Pressure Implicit Splitting Operator algorithm is extended, and the accuracy of computation is improved and numerical stability is enhanced. 完善了一种压力隐式算子分裂算法,使之应用到燃烧过程和不稳定燃烧中,提高了计算的精度和稳定性;
This scheme assimilates the virtue of explicit scheme and implicit scheme, and has the advantage of good stability and convenient computation. 这种隐-显迎风差分格式综合了隐格式与显格式的优点,具有稳定性好、计算简便的特性。
The two categories of generally-used algorithms, namely, implicit quasi-static solution and explicit dynamic algorithm, are difficult to be effectively applied in this type of simulations and the dynamic algorithms based on Newmark type of the implicit solution schemes result in the tremendous computation, too. 通常采用的两大类算法,即准静态隐式算法和动力显式算法,难以很有效地应用于这类问题的模拟,基于Newmark类的动力问题算法也会导致庞大的计算量。
Parallel environment, hybrid/ unstructured domain decomposition technique, sub-domain boundary implement and implicit parallel method are performed. An efficient parallel computation method is developed using implicit hybrid LU-SGS. Several test cases are studied by using these methods and code. 针对并行计算环境、混合/非结构网格区域分裂方法、分区边界处理策略、隐式并行方法进行研究,发展了一套基于隐式HybridLU-SGS方法的高效并行计算技术。