A high-order finite-volume method for hyperbolic conservation laws on locally-refined grids
Description:
We present a fourth-order accurate finite-volume method for solving time-dependent hyperbolic systems of conservation laws on Cartesian grids with multiple levels of refinement. The underlying method is a generalization of that in [5] to nonlinear systems, and is based on using fourth-order accurate quadratures for computing fluxes on faces, combined with fourth-order accurate Runge?Kutta discretization in time. To interpolate boundary conditions at refinement boundaries, we interpolate in time…
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Date:
January 28, 2011
Creator:
McCorquodale, Peter & Colella, Phillip
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