trixi-framework/Trixi.jl

Implement mortar correction procedure from Chan et al.

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#195 创建于 2020年10月1日

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enhancementgood first issuepossible student project

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.

贡献者指南

技术栈
无
领域
backendperformance
议题类型
feature
难度面向新贡献者的预计实现难度，1 表示很小改动，5 表示专家级工作。
5
预计时间有经验贡献者完成调查、实现、测试并准备 pull request 的粗略时间范围。
over 1 week
活动状态议题当前的可参与程度：新鲜、活跃、陈旧、阻塞或等待维护者输入。
stale
清晰度议题是否清楚说明期望改动、验收标准和下一步。
needs investigation
前置要求
Discontinuous Galerkin methodsMortar operatorsJulia programmingTrixi.jl structure
新手友好度1-100 的估计分数，表示该议题对首次贡献者的友好程度。
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.