In this paper,the author first establishes the general finite difference formula for the governing equations of the turbulent average velocities in a steady two dimensional incompressible fluid boundary layer-inner la...In this paper,the author first establishes the general finite difference formula for the governing equations of the turbulent average velocities in a steady two dimensional incompressible fluid boundary layer-inner layer.Next, three key parameters of the difference scheme are determined respectively by several simple flow models with known analytical solutions.Finally a special five points difference system is given and its application value is showed by a numerical example for the vertical velocity distribution in an Ekman's layer.展开更多
The general concept of a class of alternating difference block methods and their difference graphs are introduced.The methods are unconditionally stable,and according to the difference graphs the design of parallel al...The general concept of a class of alternating difference block methods and their difference graphs are introduced.The methods are unconditionally stable,and according to the difference graphs the design of parallel algorithms and programs of the methods are flexible and easy.The traditional alternating explicit-implicit method,the ADI method,the AGE method,the Block ADI method and the ABE-I method are all the special cases of this class of methods.Their difference graphs are presented.展开更多
A constitutive model for composite laminated plates with the damage effect of the intra-layers and inter-laminar interface is presented. The model is based on the general six-degrees-of-freedom plate theory, the disco...A constitutive model for composite laminated plates with the damage effect of the intra-layers and inter-laminar interface is presented. The model is based on the general six-degrees-of-freedom plate theory, the discontinuity of displacement on the interfaces are depicted by three shape functions, which are formulated according to solutions satisfying three equilibrium equations, By using the variation principle, the three-dimensional non-linear equilibrium differential equations of the laminated plates with two different damage models are derived. Then, considering a simply supported laminated plate with damage, an analytical solution is presented using finite difference method to obtain the inter-laminar stresses.展开更多
文摘In this paper,the author first establishes the general finite difference formula for the governing equations of the turbulent average velocities in a steady two dimensional incompressible fluid boundary layer-inner layer.Next, three key parameters of the difference scheme are determined respectively by several simple flow models with known analytical solutions.Finally a special five points difference system is given and its application value is showed by a numerical example for the vertical velocity distribution in an Ekman's layer.
基金Project supported by the National Natural Science Foundation of China(GrantNo.19571012)the Foundation of the Chinese Academy of Engineering Physics(GrantNo.960690)
文摘The general concept of a class of alternating difference block methods and their difference graphs are introduced.The methods are unconditionally stable,and according to the difference graphs the design of parallel algorithms and programs of the methods are flexible and easy.The traditional alternating explicit-implicit method,the ADI method,the AGE method,the Block ADI method and the ABE-I method are all the special cases of this class of methods.Their difference graphs are presented.
基金the National Natural Science Foundation of China(No.10572049).
文摘A constitutive model for composite laminated plates with the damage effect of the intra-layers and inter-laminar interface is presented. The model is based on the general six-degrees-of-freedom plate theory, the discontinuity of displacement on the interfaces are depicted by three shape functions, which are formulated according to solutions satisfying three equilibrium equations, By using the variation principle, the three-dimensional non-linear equilibrium differential equations of the laminated plates with two different damage models are derived. Then, considering a simply supported laminated plate with damage, an analytical solution is presented using finite difference method to obtain the inter-laminar stresses.
