Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws (original) (raw)

Springer eBooks, 2008

Abstract

To achieve high order accurate numerical approximation to nonlinear smooth functions, we employ and generalize the idea of double-logarithmic reconstruction for the numerical solution of hyperbolic equations. The result is a class of efficient third-order schemes with a compact stencil. These methods handle discontinuities as well as local extrema within the standard semi-discrete MUSCL algorithm using only a single limiter function.

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