Abstract
In this paper we present a methodology for constructing exact solutions to hyperbolic systems with source or forcing terms. We illustrate the approach as applied to some inhomogeneous systems arising in environmental problems, namely the inhomogeneous linearized shallowwater equations. We solve exactly a generalized Riemann problem that models dambreak problems in channels with variable bottom elevation and variable width. The exact solutions obtained are very valuable in the process of assessing the performance of numerical methods intended for solving morecomplex problems; they can also be useful in providing new ideas to be used in the design of numerical methods for moregeneral inhomogeneous systems.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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