trixi-framework/Trixi.jl

Implement mortar correction procedure from Chan et al.

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Aperta il 1 ott 2020

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Descrizione

The projection mortar operator applied to the DG approximation with LGL nodes is stable for upwind surface fluxes but is unstable for central surface fluxes. This is due to the presence of positive eigenvalues in the operator. The recent mortar correction described by Jesse (https://arxiv.org/abs/2005.03237) fixes this issue, allowing one to use central fluxes at the mortars with LGL nodes.

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Tech stack
Nessuno
Dominio
backendperformance
Tipo issue
feature
DifficoltàQuanto dovrebbe essere impegnativa per un nuovo contributor.
5
Tempo stimatoTempo stimato per completare e verificare uno scope piccolo.
over 1 week
Stato attivitàQuanto è probabile che la issue sia ancora attiva e reviewable.
stale
ChiarezzaQuanto chiaramente la issue descrive problema, scope e risultato atteso.
needs investigation
Prerequisiti
Discontinuous Galerkin methodsMortar operatorsJulia programmingTrixi.jl structure
Adatta ai principiantiQuanto la issue è adatta a contributor alla prima esperienza.
15
Direzione di ricerca
Implement the mortar correction algorithm described in Chan et al. (arXiv:2005.03237) to stabilize central fluxes at mortars with LGL nodes. This requires locating the existing mortar implementation in Trixi.jl (likely in src/ or similar) and modifying the projection operator to incorporate the correction. After implementation, validate with numerical tests to ensure stability.