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Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems
[article]
2020
arXiv
pre-print
Upwinded mass fluxes are described and analysed for advection operators discretised using mixed mimetic spectral elements. This involves a Petrov-Galerkin formulation by which the mass flux test functions are evaluated at downstream locations along velocity characteristics. As for the original mixed mimetic spectral element advection operator, the upwinded mass flux advection operator is conservative, however unlike the original advection operator, which is purely hyperbolic, the upwinded
arXiv:2004.13225v3
fatcat:ihzvrbdmq5bxvf4fnspr4rxfci