Uniform temporal convergence of numerical schemes for incompressible miscible displacement

2015/10/28 by Talbot, Kyle S.
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1510.08138

Abstract

The Hybrid Mimetic Mixed (HMM) family of discretisations includes the Hybrid Finite Volume method, the Mimetic Finite Difference method and the Mixed Finite Volume method. This note demonstrates that HMM discretisations of the equations describing the single-phase, miscible displacement through a porous medium of one incompressible fluid by another converge uniformly in time for the concentration variable.

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