Wave digital simulation of Burgers’ equation using Gear’s method

Shocks are a phenomenon in fluid dynamic problems, which require a sophisticated digital simulation. Numerical integration of such problems with wave digital structures can be critical - if not impossible - although those structures are inherently robust. The reason is the trapezoidal rule as underlying integration method. We show how to incorporate Gearpsilas method for partial differential equations using wave digital principles. As an elementary example, the inviscid Burgers equation is used to validate the efficacy, i.e. simulation becomes possible. A comparison of the methods is also presented for the vicscous case.