Computations of Elastic-plastic Waves by Smoothed Particle Hydrodynamics
One dimensional elastic plastic strain waves induced by impulsive stress loading are simulated numerically by corrected smoothed particle hydrodynamics. In order to study the effects to control the numerical noise occurred at the shock front, both the artificial viscosity and flux corrected transport methods are used and compared in the numerical examples. The results show that good accuracy in the numerical simulations of stress waves can be obtained by corrected smoothed particle hydruodynamics.
In the oil production and thermal recovery in the application of oil and gas field, well of curves are regarded as the crooked canal(namely not only the canal has horizontal section but also vertical section), it instead the horizontal well before. Thus establishmented the new elbow well model, the solution of the model not only suitable for theoretical study but also easy to calculate in practical production. This article considered the problem of indeterminate percolation of spherical symmetry infinite domain described by the initial boundary value problem of the system of partial differential equation and obtained the point-source accurate solution when research on the problem of indeterminate percolation for double porosity medium. Abtained the accurate solution about mathematical model of line source from appling the point-source accurate solution, and applied the results to mathematical model of well of curves, obtained the integral expression of it’s accurate solution.