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Applications in Fluid Dynamics

One of the most interesting developments in the wave digital numerical integration field has been applications to highly nonlinear problems in fluid mechanics [16,49,70]. These systems, also described by hyperbolic systems of PDEs, have MD circuit representations, and as such, it is possible to develop numerical methods in the same way as outlined in Chapter 3; the procedure is, however, complicated by the necessarily nonlinear nature of the requisite circuit elements. The purpose of this brief appendix is to expand upon the very concise descriptions of the technique in the literature, and to add a few comments regarding alternative network formulations and fluid dynamical DWNs and a possible reformulation of the problem in terms of entropy variables [181,183].


Stefan Bilbao 2002-01-22