首页|A Central Scheme for Two Coupled Hyperbolic Systems
A Central Scheme for Two Coupled Hyperbolic Systems
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A novel numerical scheme to solve two coupled systems of conservation laws is intro-duced.The scheme is derived based on a relaxation approach and does not require informa-tion on the Lax curves of the coupled systems,which simplifies the computation of suit-able coupling data.The coupling condition for the underlying relaxation system plays a crucial role as it determines the behaviour of the scheme in the zero relaxation limit.The role of this condition is discussed,a consistency concept with respect to the original prob-lem is introduced,the well-posedness is analyzed and explicit,nodal Riemann solvers are provided.Based on a case study considering the p-system of gas dynamics,a strategy for the design of the relaxation coupling condition within the new scheme is provided.
Coupled conservation lawsHyperbolic systemsFinite-volume schemesCoupling conditionsRelaxation system
Michael Herty、Niklas Kolbe、Siegfried Müller
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Institute of Geometry and Applied Mathematics,RWTH Aachen University,Templergraben 55,Aachen 52062,Germany
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