A modular approach to multidimensional wave digital modeling of passive PDEs

Abstract

In order to emulate a passive physical system with the wave digital concept, one has to find a reference circuit that is not only internally multidimensionally passive, but also suited for an element-wise transfer into a realizable and efficient wave digital structure. We present a modular approach that systemizes the derivation of an optimized reference circuit for a special class of linear hyperbolic PDEs. As an illustrative example, we deduce a wave digital structure for Navier's equation from linear elastodynamics.