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Limiter-Free Third Order Logarithmic Reconstruction Export

by: Robert Artebrant, Joachim H. Schroll
SIAM Journal on Scientific Computing, Vol. 28, No. 1. (2006), pp. 359-381.

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Artebrant and Schroll give third-order double logarithmic reconstruction by mimicing using the left and right derivatives and the cell mean to reconstruct the fluxes at the boundaries for FV applicaiton. The supposed main advantage of the double logarithm is to reconstruct local extrema with full 3rd-order accuracy. Also, Appendix A includes a double hyperbolic reconstruction (again, 3rd-order).

mrnorman (public note) - 2007-06-18 18:20:55

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