A refined numerical method, based upon time-line interpolation, for the simulation of advection and diffusion has been tentatively explored. A complete set of temporal reachback numerical scheme in applying the method...A refined numerical method, based upon time-line interpolation, for the simulation of advection and diffusion has been tentatively explored. A complete set of temporal reachback numerical scheme in applying the method of characteristics has been derived, and the favorable accuracy of the method demonstrated. The use of interpolations in time, rather than the more widely used interpolations in space, demonstrates that it generates a much smaller numerical error.展开更多
Experiments were conducted to determine the steady-flow characteristics of a variety of top-entry junctions. The observed steady flow relationships are then incorporated into the finite difference of characteristics t...Experiments were conducted to determine the steady-flow characteristics of a variety of top-entry junctions. The observed steady flow relationships are then incorporated into the finite difference of characteristics to simulate the unsteady flow behavior at pipe junctions. Tests under unsteady flow conditions were further carried out and it was consequently clarified that numerical model is capable of accurately predicting flow characteristics in realistic drainage networks.展开更多
文摘A refined numerical method, based upon time-line interpolation, for the simulation of advection and diffusion has been tentatively explored. A complete set of temporal reachback numerical scheme in applying the method of characteristics has been derived, and the favorable accuracy of the method demonstrated. The use of interpolations in time, rather than the more widely used interpolations in space, demonstrates that it generates a much smaller numerical error.
文摘Experiments were conducted to determine the steady-flow characteristics of a variety of top-entry junctions. The observed steady flow relationships are then incorporated into the finite difference of characteristics to simulate the unsteady flow behavior at pipe junctions. Tests under unsteady flow conditions were further carried out and it was consequently clarified that numerical model is capable of accurately predicting flow characteristics in realistic drainage networks.