摘要
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.
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.
