ACCOMMODATING LINEAR AND NONLINEAR BOUNDARY-CONDITIONS IN WAVE DIGITAL SIMULATIONS OF PDE SYSTEMS

The Wave Digital multidimensional discretization technique, recently p roposed by A. Fettweis ct al., is a potentially important new method f or simulating systems of partial differential equations (PDEs), especi ally those that model processes appearing in nature. To date, no gener al method has appeared in the literature indicating how to accommodate boundary conditions in Wave Digital simulations. Since the incorporat ion of a consistent set of boundary conditions within a given PDE syst em is a necessary condition for that system even to possess a unique s olution, it is clear that accounting for boundary conditions within nu meric simulations is just as necessary. We present here a method for a ccommodating lumped, linear or nonlinear boundary conditions into the Wave Digital simulation of either linear or nonlinear PDE systems. Gra phic results from the Wave Digital simulation of a simple acoustics pr oblem are also given.