James A. Rossmanith

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We study a general approach to solving conservation laws of the form qt+f (q, x)x = 0, where the flux function f (q, x) has explicit spatial variation. Finite-volume methods are used in which the flux is discretized spatially, giving a function f i (q) over the ith grid cell and leading to a generalized Riemann problem between neighboring grid cells. A(More)
Residual distributions (RD) schemes are a class of of high-resolution finite volume methods for unstructured grids. A key feature of these schemes is that they make use of genuinely multidimensional (approximate) Riemann solvers as opposed to the piecemeal 1D Riemann solvers usually employed by finite volume methods. showed that many of the standard(More)
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