We present a family of high-resolution, semi-discrete central schemes for hyperbolic systems of conservation laws in three space dimensions. Along with a detailed derivation of the semi-discrete formulation of the underlying PDE, and the description of the black-box schemes that result from it, their implementation, and properties, we present the solutions of several prototype problems for a variety of hyperbolic conservation laws. These extend previous results obtained for the same hyperbolic models in one and two space dimensions, and they further demonstrate the versatility and robustness of the semi-discrete central formulation.
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