If an explicit time scheme is used in a numerical model, the size of the integration time step is typically limited by the spatial resolution. This study develops a regular latitude–longitude grid-based global three-...If an explicit time scheme is used in a numerical model, the size of the integration time step is typically limited by the spatial resolution. This study develops a regular latitude–longitude grid-based global three-dimensional tracer transport model that is computationally stable at large time-step sizes. The tracer model employs a finite-volume flux-form semiLagrangian transport scheme in the horizontal and an adaptively implicit algorithm in the vertical. The horizontal and vertical solvers are coupled via a straightforward operator-splitting technique. Both the finite-volume scheme's onedimensional slope-limiter and the adaptively implicit vertical solver's first-order upwind scheme enforce monotonicity. The tracer model permits a large time-step size and is inherently conservative and monotonic. Idealized advection test cases demonstrate that the three-dimensional transport model performs very well in terms of accuracy, stability, and efficiency. It is possible to use this robust transport model in a global atmospheric dynamical core.展开更多
The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed.The movement of the satellite is described by the Gauss equation using the modified equinoctial e...The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed.The movement of the satellite is described by the Gauss equation using the modified equinoctial elements and replacing time as the system independent variable by the cumulative longitude.The maximum principle is adapted to design the optimal control in order to minimize the final cumulative longitude, and the twopoint-boundary-value problem is derived from the orbit transfer problem.The single shooting method is applied in a numerical experiment, and the simulations demonstrate that the orbit transfer mission is fulfilled and the product of the maximal thrust and the minimum cumulative longitude is near constant.展开更多
Solar quiet daily variation(Sq)are dependent on local time.Herein,we applied the moving superposition method to separate the Sq component of correction observatory data and performed a time diff erence correction on t...Solar quiet daily variation(Sq)are dependent on local time.Herein,we applied the moving superposition method to separate the Sq component of correction observatory data and performed a time diff erence correction on the Sq component according to the longitudinal diff erence between the correction observatory and the field station while maintaining the time of other data components.The data were then reconstructed and used for diurnal-variation correction to improve the accuracy of the daily variations correction resu;lts The moving superposition method employs data of“nonmagnetic disturbance days”obtained 15 d before and after to perform the superposing average calculation on a daily basis,aiming to obtain the Sq of continuous morphological changes.The effect of longitude correction was tested using the observatory record and field survey data.The average correction distance of the test observatories was 2114 km,and the correction accuracies of the H(horizontal component of geomagnetic field),D(geomagnetic declination),and Z(vertical component of geomagnetic field)were improved by 28.4%,45.0%,and 21.7%,respectively;the average correction distance of the field stations was 2130 km,and the correction accuracies of the F(geomagnetic total intensity),D,I(geomagnetic inclination)components were improved by 35.2%,26.7%,and 13.9%,respectively.The test results also demonstrated that the longitude correction eff ect was greater with an increased correction distance.展开更多
基金jointly supported by the National Natural Science Foundation of China (Grant No.42075153)the Young Scientists Fund of the Earth System Modeling and Prediction Centre (Grant No. CEMC-QNJJ-2022014)。
文摘If an explicit time scheme is used in a numerical model, the size of the integration time step is typically limited by the spatial resolution. This study develops a regular latitude–longitude grid-based global three-dimensional tracer transport model that is computationally stable at large time-step sizes. The tracer model employs a finite-volume flux-form semiLagrangian transport scheme in the horizontal and an adaptively implicit algorithm in the vertical. The horizontal and vertical solvers are coupled via a straightforward operator-splitting technique. Both the finite-volume scheme's onedimensional slope-limiter and the adaptively implicit vertical solver's first-order upwind scheme enforce monotonicity. The tracer model permits a large time-step size and is inherently conservative and monotonic. Idealized advection test cases demonstrate that the three-dimensional transport model performs very well in terms of accuracy, stability, and efficiency. It is possible to use this robust transport model in a global atmospheric dynamical core.
基金supported by the National Natural Science Foundation of China (10832006 60874011)
文摘The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed.The movement of the satellite is described by the Gauss equation using the modified equinoctial elements and replacing time as the system independent variable by the cumulative longitude.The maximum principle is adapted to design the optimal control in order to minimize the final cumulative longitude, and the twopoint-boundary-value problem is derived from the orbit transfer problem.The single shooting method is applied in a numerical experiment, and the simulations demonstrate that the orbit transfer mission is fulfilled and the product of the maximal thrust and the minimum cumulative longitude is near constant.
基金supported by The Earthquake Science and Technology Program of Hebei Province (Grant Number DZ20190422046).
文摘Solar quiet daily variation(Sq)are dependent on local time.Herein,we applied the moving superposition method to separate the Sq component of correction observatory data and performed a time diff erence correction on the Sq component according to the longitudinal diff erence between the correction observatory and the field station while maintaining the time of other data components.The data were then reconstructed and used for diurnal-variation correction to improve the accuracy of the daily variations correction resu;lts The moving superposition method employs data of“nonmagnetic disturbance days”obtained 15 d before and after to perform the superposing average calculation on a daily basis,aiming to obtain the Sq of continuous morphological changes.The effect of longitude correction was tested using the observatory record and field survey data.The average correction distance of the test observatories was 2114 km,and the correction accuracies of the H(horizontal component of geomagnetic field),D(geomagnetic declination),and Z(vertical component of geomagnetic field)were improved by 28.4%,45.0%,and 21.7%,respectively;the average correction distance of the field stations was 2130 km,and the correction accuracies of the F(geomagnetic total intensity),D,I(geomagnetic inclination)components were improved by 35.2%,26.7%,and 13.9%,respectively.The test results also demonstrated that the longitude correction eff ect was greater with an increased correction distance.