A goal-oriented adaptive finite element（FE） method for solving 3D direct current（DC） resistivity modeling problem is presented. The model domain is subdivided into unstructured tetrahedral elements that allow for ...A goal-oriented adaptive finite element（FE） method for solving 3D direct current（DC） resistivity modeling problem is presented. The model domain is subdivided into unstructured tetrahedral elements that allow for efficient local mesh refinement and flexible description of complex models. The elements that affect the solution at each receiver location are adaptively refined according to a goal-oriented posteriori error estimator using dual-error weighting approach. The FE method with adapting mesh can easily handle such structures at almost any level of complexity. The method is demonstrated on two synthetic resistivity models with analytical solutions and available results from integral equation method, so the errors can be quantified. The applicability of the numerical method is illustrated on a resistivity model with a topographic ridge. Numerical examples show that this method is flexible and accurate for geometrically complex situations.展开更多
本文利用新一代中尺度数值模式(Weather Research and Forecasting model,WRF)模拟了一次强对流天气过程,开展了基于观测系统模拟试验(Observation System Simulation Experiment,OSSE)的双雷达风场反演效果试验研究。基于WRF模式输出...本文利用新一代中尺度数值模式(Weather Research and Forecasting model,WRF)模拟了一次强对流天气过程,开展了基于观测系统模拟试验(Observation System Simulation Experiment,OSSE)的双雷达风场反演效果试验研究。基于WRF模式输出的三维风场,模拟两部多普勒雷达的体扫数据,再利用迭代法和变分法进行三维风场反演,将模式输出场作为真实风场,定量计算反演风场的风速误差,结合典型强对流个例的发生、发展过程,分析不同算法反演风场的散度、涡度和垂直速度等特征。结果表明,两种算法反演获得的风场结构与强对流天气过程的基本特征一致,变分法能更准确地反演出强对流天气过程的垂直速度、散度和涡度场,而迭代法反演的结构特征不明显,且强度明显偏弱。展开更多
基金supported by the National Natural Science Foundation of China (No. 41204055)the National Basic Research Program of China (No. 2013CB733203)the Opening Project (No. SMIL-2014-06) of Hubei Subsurface Multi-Scale Imaging Lab (SMIL), China University of Geosciences, Wuhan, China
文摘A goal-oriented adaptive finite element（FE） method for solving 3D direct current（DC） resistivity modeling problem is presented. The model domain is subdivided into unstructured tetrahedral elements that allow for efficient local mesh refinement and flexible description of complex models. The elements that affect the solution at each receiver location are adaptively refined according to a goal-oriented posteriori error estimator using dual-error weighting approach. The FE method with adapting mesh can easily handle such structures at almost any level of complexity. The method is demonstrated on two synthetic resistivity models with analytical solutions and available results from integral equation method, so the errors can be quantified. The applicability of the numerical method is illustrated on a resistivity model with a topographic ridge. Numerical examples show that this method is flexible and accurate for geometrically complex situations.
文摘本文利用新一代中尺度数值模式(Weather Research and Forecasting model,WRF)模拟了一次强对流天气过程,开展了基于观测系统模拟试验(Observation System Simulation Experiment,OSSE)的双雷达风场反演效果试验研究。基于WRF模式输出的三维风场,模拟两部多普勒雷达的体扫数据,再利用迭代法和变分法进行三维风场反演,将模式输出场作为真实风场,定量计算反演风场的风速误差,结合典型强对流个例的发生、发展过程,分析不同算法反演风场的散度、涡度和垂直速度等特征。结果表明,两种算法反演获得的风场结构与强对流天气过程的基本特征一致,变分法能更准确地反演出强对流天气过程的垂直速度、散度和涡度场,而迭代法反演的结构特征不明显,且强度明显偏弱。
