trixi-framework/Trixi.jl

Implement mortar correction procedure from Chan et al.

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#195 opened on Oct 1, 2020

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enhancementgood first issuepossible student project

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Description

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.

Contributor guide

Research direction
Read the referenced paper by Jesse Chan (arXiv:2005.03237) to understand the mortar correction procedure. Then examine the existing numerical methods in Trixi.jl, particularly the projection mortar operator and surface flux implementations. Implement the correction in Julia following the paper's algorithm and test with central fluxes.
Tech stack
None
Domain
backend
Issue type
Feature
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
5
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
Over 1 week
Activity statusHow available the issue appears right now: fresh, active, stale, blocked, or waiting on maintainer input.
Fresh
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
Clear
Prerequisites
JuliaGitNumerical methods for PDEs
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
15