trixi-framework/Trixi.jl

Implement mortar correction procedure from Chan et al.

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#195 建立於 2020年10月1日

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描述

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.

貢獻者指南

技術棧
無
領域
backendperformance
議題類型
feature
難度面向新貢獻者的預計實作難度，1 表示很小改動，5 表示專家級工作。
5
預計時間有經驗貢獻者完成調查、實作、測試並準備 pull request 的粗略時間範圍。
over 1 week
活動狀態議題目前的可參與程度：新鮮、活躍、陳舊、阻塞或等待維護者輸入。
stale
清晰度議題是否清楚說明預期改動、驗收標準和下一步。
needs investigation
前置要求
Discontinuous Galerkin methodsMortar operatorsJulia programmingTrixi.jl structure
新手友善度1-100 的估計分數，表示該議題對首次貢獻者的友善程度。
15
研究方向
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.