欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
为解决二维的浅水方程的一个数字方法被介绍。这个方法为空间 discretization 和保存的最佳的第三顺序的强壮的稳定性(SSP ) 基于第三顺序的真正地多维的 semi-discretecentral 计划为时间集成的 Runge-Kutta 方法。第三顺序的协议中央加权 EssentiallyNon 摆动(CWENO ) 重建被采用保证介绍计划的非摆动的行为并且改进决定。二种来源条款在这个工作被考虑。他们用不同途径被评估。产生计划不要求 Riemannsolvers 或典型分解，因此，它保留象简洁和高分辨率那样的中央计划的所有吸引人的特征。评估介绍计划的表演，几个数字例子被测试。结果证明我们的方法有效、稳定、柔韧。
英文摘要：
A numerical two-dimensional shallow water method was based on method for solving the equations was presented. This the third-order genuinely multidimensional semi-discrete central scheme for spatial discretization and the optimal third-order Strong Stability Preserving （SSP） Runge-Kutta method for time integration. The third-order compact Central Weighted Essentially Non-Oscillatory （CWENO） reconstruction was adopted to guarantee the non-oscillatory behavior of the presented scheme and improve the resolution. Two kinds of source terms were considered in this work. They were evaluated using different approaches. The resulting scheme does not require Riemann solvers or characteristic decomposition, hence it retains all the attractive features of central schemes such as simplicity and high resolution. To evaluate the performance of the presented scheme, several numerical examples were tested. The results demonstrate that our method is efficient, stable and robust.
同期刊论文项目
同项目期刊论文
期刊信息
位置：