MIXED COMPATIBLE ELEMENT AND MIXED HYBRID INCOMPATIBLE ELEMENT VARIATIONAL METHODS IN DYNAMICS OF VISCOUS BAROTROPIC FLUIDS

This paper presents and proves the mixed compatible finite element variationalprinciples in dynamics of viscous barotropic fluids. When the principles are proved, itis found that the compatibility conditions of stress can be naturally satisfied. The gene-rallzed variational principles with mixed hybrid incompatible finite elements are alsopresented and proved, and they can reduce the computation of incompatible elements indynamics of viscous barotropic flows.

Buoy Relay Method for Instantaneous Fluid Flow with Free Surface

Several methods have been used to approximate free surface boundaries in finite difference numerical simulations. Each of these methods has its advantages and disadvantages. This paper presents a new technique for the numerical solution of transient incompressible free surface fluid flows. This powerful method, which is based on the concepts of “Buoy positioning” and “Buoy relaying\', successfully represents the free surface using a Lagrangian method on a Eulerian grid by directly solving the free surface evolution equation. The Eulerian finite\|difference forms of the full Navier\|Stokes equations are solved by the Successive over Relaxation (SOR) method with a set of buoys to keep track of the free surface. The capabilities of the analysis procedure are demonstrated through viscous free surface fluid flow examples. The method is simpler and more efficient than other methods especially in treating complicated free boundary configurations.

Movement law of the threshing material in threshing and cleaning machine for plot-bred wheat

In order to clarify and enhance the work performance of the threshing and cleaning machine for plot-bred wheat and further reduce the grain retention in all working areas in the machine,in this study,a discrete element model for the threshing material of plot-bred wheat and a gas-solid coupling simulation model for the machine were established by ensuring all the harvesting criteria for the machine.Then numerical simulation was completed on the movement process of the threshing material in the threshing and cleaning machine for plot-bred wheat,the movement law and motion trajectory of all components of the threshing material were explored,and the impact forms of unreasonable work parameters on the separating and cleaning process were analyzed.First,four working areas were divided in the threshing and cleaning machine for plot-bred wheat.Under gas-solid flow coupling effect,the number variation of threshing material in each working area was analyzed under the effect of gas-solid coupling,and the operation characteristics of“no retained seeds and convenient cleaning”of the threshing machine for plot-bred wheat were further improved.The verification test results showed that,when the feeding amount of wheat was 0.30 kg/s,the rotation speed of the shaft of the tooth-type threshing cylinder was set to 1350 r/min,the rotation speed of the winnower was set to 500 r/min,the rotation speed of the residue absorption fan was set to 1000 r/min,the average total loss rate in threshing of the sample machine was 0.56%,and average impurity rate of the threshing material was 5.26%,average damage rate in threshing was 0.68%.In the test,the status of material discharged from the residue absorption fan outlet and bottom of the cyclone separator was similar to that of the simulation results,showing that it was feasible to use the method of gas-solid coupling to simulate the movement law of threshing material in the threshing and cleaning machine for plot-bred wheat.

STUDY OF INTERACTION BETWEEN VORTICES AND A FREE SURFACE PART Ⅱ：INTERACTION OF DOUBLE VISCOUS VORTEX DIPOLES WITH A FREE SURFACE

In this paper the VOF (Volume of Fluid) method is used to numerically study the interaction of double viscous vortex dipoles with free surface in a two dimensional incompressible flow field. From the results of this research, it is found that the general consequence of the interaction is qualitatively equivalent to the problem of a single vortex dipole interacts with a free surface.