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• W2034223563 endingPage "160" @default.
• W2034223563 startingPage "141" @default.
• W2034223563 abstract "We propose a class of finite volume methods for the discretization of time-dependent multidimensional hyperbolic systems in divergence form on unstructured grids. We discretize the divergence of the flux function by a cell-centered finite volume method whose spatial accuracy is provided by including into the scheme non-oscillatory piecewise polynomial reconstructions. We assume that the numerical flux function can be decomposed in a convective term and a non-convective term. The convective term, which may be source of numerical stiffness in high-speed flow regions, is treated implicitly, while the non-convective term is always discretized explicitly. To this purpose, we use the diagonally implicit–explicit Runge–Kutta (DIMEX-RK) time-marching formulation. We analyze the structural properties of the matrix operators that result from coupling finite volumes and DIMEX-RK time-stepping schemes by using M-matrix theory. Finally, we show the behavior of these methods by some numerical examples." @default.
• W2034223563 created "2016-06-24" @default.
• W2034223563 creator A5014223403 @default.
• W2034223563 creator A5038642798 @default.
• W2034223563 date "2007-09-01" @default.
• W2034223563 modified "2023-09-23" @default.
• W2034223563 title "DIMEX Runge–Kutta finite volume methods for multidimensional hyperbolic systems" @default.
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• W2034223563 doi "https://doi.org/10.1016/j.matcom.2006.12.002" @default.
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