## Non-oscillatory central differencing for hyperbolic conservation laws (1990)

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Venue: | J. Comput. Phys |

Citations: | 151 - 30 self |

### BibTeX

@ARTICLE{Nessyahu90non-oscillatorycentral,

author = {Haim Nessyahu and Eitan Tadmor},

title = {Non-oscillatory central differencing for hyperbolic conservation laws},

journal = {J. Comput. Phys},

year = {1990},

pages = {408--463}

}

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### Abstract

Many of the recently developed high-resolution schemes for hyperbolic conservation laws are based on upwind differencing. The building block of these schemes is the averaging of an approximate Godunov solver; its time consuming part involves the field-by-field decomposition which is required in order to identify the “direction of the wind. ” Instead, we propose to use as a building block the more robust Lax-Friedrichs (LxF) solver. The main advantage is simplicity: no Riemann problems are solved and hence field-by-field decompositions are avoided. The main disadvantage is the excessive numerical viscosity typical to the LxF solver. We compensate for it by using high-resolution MUSCL-type interpolants. Numerical experiments show that the quality of the results obtained by such convenient central differencing is comparable with those of the upwind schemes. c○Academic Press, Inc.