The development of high order thinking has been considered as a national priority of learning. By using three iteration action research in six elementary schools in Guangzhou, China for about 1 year and a half, we fou...The development of high order thinking has been considered as a national priority of learning. By using three iteration action research in six elementary schools in Guangzhou, China for about 1 year and a half, we found that visual thinking tools can improve students＇ high order thinking ability and change the traditional teaching method. By using this activity frame work, the teachers can better understand what are the students thinking about and the students can use the thinking tools to help themselves solve complex problems and discuss with other people. The reason we do this research is to improve the high-order thinking ability of primary student. In this paper, we summarize an activity frame work of using visual thinking tools to improve students thinking ability. And the frame work can be divided into three stages： preparatory stage, implementation stage and assessment stage. And different stage has different activity. Though this activity frame work is not perfect enough, we will improve it in our future study.展开更多
The high-order compact finite difference technique is introduced to solve the Boltzmann model equation, and the gas-kinetic high-order schemes are developed to simulate the different kinetic model equations such as th...The high-order compact finite difference technique is introduced to solve the Boltzmann model equation, and the gas-kinetic high-order schemes are developed to simulate the different kinetic model equations such as the BGK model, the Shakhov model and the Ellipsoidal Statistical (ES) model in this paper. The methods are tested for the one-dimensional unsteady shock-tube problems with various Knudsen numbers, the inner flows of normal shock wave for different Mach numbers, and the two-dimensional flows past a circular cylinder and a NACA 002 airfoil to verify the reliability of the present high-order algorithm and simulate gas transport phenomena covering various flow regimes. The computed results are found in good agreement both with the theoretical prediction from continuum to rarefied gas dynamics, the related DSMC solutions, and with the experimental results. The numerical effect of the schemes with the different precision and the different types of Boltzmann collision models on the computational efficiency and computed results is investigated and analyzed. The numerical experience indicates that an approach developing and applying the gas-kinetic high-order algorithm is feasible for directly solving the Boltzmann model equation.展开更多
文摘The development of high order thinking has been considered as a national priority of learning. By using three iteration action research in six elementary schools in Guangzhou, China for about 1 year and a half, we found that visual thinking tools can improve students＇ high order thinking ability and change the traditional teaching method. By using this activity frame work, the teachers can better understand what are the students thinking about and the students can use the thinking tools to help themselves solve complex problems and discuss with other people. The reason we do this research is to improve the high-order thinking ability of primary student. In this paper, we summarize an activity frame work of using visual thinking tools to improve students thinking ability. And the frame work can be divided into three stages： preparatory stage, implementation stage and assessment stage. And different stage has different activity. Though this activity frame work is not perfect enough, we will improve it in our future study.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10621062 and 91016027)
文摘The high-order compact finite difference technique is introduced to solve the Boltzmann model equation, and the gas-kinetic high-order schemes are developed to simulate the different kinetic model equations such as the BGK model, the Shakhov model and the Ellipsoidal Statistical (ES) model in this paper. The methods are tested for the one-dimensional unsteady shock-tube problems with various Knudsen numbers, the inner flows of normal shock wave for different Mach numbers, and the two-dimensional flows past a circular cylinder and a NACA 002 airfoil to verify the reliability of the present high-order algorithm and simulate gas transport phenomena covering various flow regimes. The computed results are found in good agreement both with the theoretical prediction from continuum to rarefied gas dynamics, the related DSMC solutions, and with the experimental results. The numerical effect of the schemes with the different precision and the different types of Boltzmann collision models on the computational efficiency and computed results is investigated and analyzed. The numerical experience indicates that an approach developing and applying the gas-kinetic high-order algorithm is feasible for directly solving the Boltzmann model equation.
