Compact third-order limiter functions for finite volume methods |
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Authors: | Miroslav ?ada Manuel Torrilhon |
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Institution: | Seminar for Applied Mathematics, ETH Zentrum, CH-8092 Zurich, Switzerland |
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Abstract: | We consider finite volume methods for the numerical solution of conservation laws. In order to achieve high-order accurate numerical approximation to non-linear smooth functions, we introduce a new class of limiter functions for the spatial reconstruction of hyperbolic equations. We therefore employ and generalize the idea of double-logarithmic reconstruction of Artebrant and Schroll R. Artebrant, H.J. Schroll, Limiter-free third order logarithmic reconstruction, SIAM J. Sci. Comput. 28 (2006) 359-381]. |
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Keywords: | Numerical methods Conservation laws Finite volume methods High-order accuracy Shock capturing Non-linear and non-polynomial limiter |
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