English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Multiscale finite volume methods are known to produce reduced systems withmultipoint stencils which, in turn, could give non-monotone and out-of-boundsolutions. We propose a novel solution to the monotonicity issue of multiscalemethods. The proposed algorithmic monotone (AM- MsFV/MsRSB) framework is basedon an algebraic modification to the original MsFV/MsRSB coarse-scale stencil.The AM-MsFV/MsRSB guarantees monotonic and within bound solutions withoutcompromising accuracy for various coarsening ratios; hence, it effectivelyaddresses the challenge of multiscale methods' sensitivity to coarse gridpartitioning choices. Moreover, by preserving the near null space of theoriginal operator, the AM-MsRSB showed promising performance when integrated initerative formulations using both the control volume and the Galerkin-typerestriction operators. We also propose a new approach to enhance theperformance of MsRSB for MPFA discretized systems, particularly targeting theconstruction of the prolongation operator. Results show the potential of ourapproach in terms of accuracy of the computed basis functions and the overallconvergence behavior of the multiscale solver while ensuring a monotonesolution at all times.

Algorithmic Monotone Multiscale Finite Volume Methods for Porous Media Flow