Abstract
We present a fast solver for the coupled mode equations in duct acoustics. It is based on a partitioning of the resulting system of ordinary differential equations into separate subsystems, the number of which increases by the separability of the problem. This structure is obtained by transformations of the dependent variables such that weakly interacting modes are separated. The decoupling process requires the numerical solution of algebraic Riccati equations. However, these computations can be done on a spatial scale much larger than the characteristic wavelength of the problem.
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