In the paper, we study a high order numerical boundary scheme for solving the complex moving boundary problem on a fixed Cartesian mesh, and numerically investigate the moving rigid body with the complex boundary unde...In the paper, we study a high order numerical boundary scheme for solving the complex moving boundary problem on a fixed Cartesian mesh, and numerically investigate the moving rigid body with the complex boundary under the impingement of an inviscid shock wave. Based on the high order inverse Lax-Wendroff(ILW) procedure developed in the previous work(TAN, S. and SHU, C. W. A high order moving boundary treatment for compressible inviscid flows. Journal of Computational Physics, 230(15),6023–6036(2011)), in which the authors only considered the translation of the rigid body,we consider both translation and rotation of the body in this paper. In particular, we reformulate the material derivative on the moving boundary with no-penetration condition, and the newly obtained formula plays a key role in the proposed algorithm. Several numerical examples, including cylinder, elliptic cylinder, and NACA0012 airfoil, are given to indicate the effectiveness and robustness of the present method.展开更多
The paper presented a new regular pattern （network structure ） of great earthquakes occurred in China's Mainland during the past 700 years, which may be helpful to improve the understanding of great earthquakes ...The paper presented a new regular pattern （network structure ） of great earthquakes occurred in China's Mainland during the past 700 years, which may be helpful to improve the understanding of great earthquakes and can serve as a base for the study of prediction of future great earthquakes. It can be done because there are quite complete and confident records of historical and recent earthquakes in a wide extent in China.展开更多
The nonlocal symmetry of the generalized fifth order KdV equation(FOKdV) is first obtained by using the related Lax pair and then localizing it in a new enlarged system by introducing some new variables. On this basis...The nonlocal symmetry of the generalized fifth order KdV equation(FOKdV) is first obtained by using the related Lax pair and then localizing it in a new enlarged system by introducing some new variables. On this basis, new Ba¨cklund transformation is obtained through Lie’s first theorem. Furthermore, the general form of Lie point symmetry for the enlarged FOKdV system is found and new interaction solutions for the generalized FOKdV equation are explored by using a symmetry reduction method.展开更多
A method for preparing 3D ordered macroporous silicate materials was developed by using the ordered stacking structure of monodispersed polystyrene latex as a template. By using a modified sol\|gel procedure, the orde...A method for preparing 3D ordered macroporous silicate materials was developed by using the ordered stacking structure of monodispersed polystyrene latex as a template. By using a modified sol\|gel procedure, the ordered template was permeated and filled with silicate, and the title porous materials was formed after removing the template by calcination at high temperature. Moreover, the pores were highly ordered throughout all the sample. After observing the morphological profile of the sample before calcination, it was found that silicate existed in two typical morphologies: monodispersed particles in the cavities and interconnected network within the interstice of the template. The transition morphology was rod\|like formed by the condensation of the silicate monodispersed particles. Two aspects concerning with the template effects of the ordered latex film were emphasized: the polymeric spheres may result in orderly packed holes after calcination, and the dielectric interfacial layer surrounding the polymeric spheres may induce the formation of monodispersed silicate spheres with ordered stacking. Both aspects played important roles in the formation of the highly ordered inorganic porous materials by calcination the gel at high temperature.展开更多
基金Project supported by the National Natural Science Foundation of China (Nos. 11901555, 11901213,11871448, and 11732016)the National Numerical Windtunnel Project (No. NNW2019ZT4-B10)。
文摘In the paper, we study a high order numerical boundary scheme for solving the complex moving boundary problem on a fixed Cartesian mesh, and numerically investigate the moving rigid body with the complex boundary under the impingement of an inviscid shock wave. Based on the high order inverse Lax-Wendroff(ILW) procedure developed in the previous work(TAN, S. and SHU, C. W. A high order moving boundary treatment for compressible inviscid flows. Journal of Computational Physics, 230(15),6023–6036(2011)), in which the authors only considered the translation of the rigid body,we consider both translation and rotation of the body in this paper. In particular, we reformulate the material derivative on the moving boundary with no-penetration condition, and the newly obtained formula plays a key role in the proposed algorithm. Several numerical examples, including cylinder, elliptic cylinder, and NACA0012 airfoil, are given to indicate the effectiveness and robustness of the present method.
基金The Central Level,Scientific Research Institutes for Basic R & D Special Fund Business (No.2060302)National Natural Science Foundation of China(No.40841016,No.40372131 and No.40702056)Old Experts Science Foundation of China Earthquake Administration(No.201039)
文摘The paper presented a new regular pattern （network structure ） of great earthquakes occurred in China's Mainland during the past 700 years, which may be helpful to improve the understanding of great earthquakes and can serve as a base for the study of prediction of future great earthquakes. It can be done because there are quite complete and confident records of historical and recent earthquakes in a wide extent in China.
基金supported by the National Natural Science Foundation of China(Grant Nos.11347183,11405110,11275129,and 11305106)the Natural Science Foundation of Zhejiang Province of China(Grant Nos.Y7080455 and LQ13A050001)
文摘The nonlocal symmetry of the generalized fifth order KdV equation(FOKdV) is first obtained by using the related Lax pair and then localizing it in a new enlarged system by introducing some new variables. On this basis, new Ba¨cklund transformation is obtained through Lie’s first theorem. Furthermore, the general form of Lie point symmetry for the enlarged FOKdV system is found and new interaction solutions for the generalized FOKdV equation are explored by using a symmetry reduction method.
文摘A method for preparing 3D ordered macroporous silicate materials was developed by using the ordered stacking structure of monodispersed polystyrene latex as a template. By using a modified sol\|gel procedure, the ordered template was permeated and filled with silicate, and the title porous materials was formed after removing the template by calcination at high temperature. Moreover, the pores were highly ordered throughout all the sample. After observing the morphological profile of the sample before calcination, it was found that silicate existed in two typical morphologies: monodispersed particles in the cavities and interconnected network within the interstice of the template. The transition morphology was rod\|like formed by the condensation of the silicate monodispersed particles. Two aspects concerning with the template effects of the ordered latex film were emphasized: the polymeric spheres may result in orderly packed holes after calcination, and the dielectric interfacial layer surrounding the polymeric spheres may induce the formation of monodispersed silicate spheres with ordered stacking. Both aspects played important roles in the formation of the highly ordered inorganic porous materials by calcination the gel at high temperature.
