2021/02/08 by Ling Zou, Zou, Ling
Computer Science · Decision Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #65M08 #Bounding overwatch #Computer science #Engineering #FOS: Mathematics #Function (biology) #Geometry #Groundwater flow and contamination studies #Limiter #Limiting #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Piecewise #Piecewise linear function #Polygon mesh #Probabilistic and Robust Engineering Design #Telecommunications #Variance (accounting) #cs.NA #math.NA #msc:65M08
paper · pdf · doi:10.48550/arxiv.2102.04435
arxiv created 2021/02/08 · openalex publication_date 2021/02/08 · arxiv updated 2021/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we illustrate how the concept of slope limiter can be interpreted graphically, i.e., how the slope of reconstructed piecewise linear function is limited by four bounding lines that connect cell-averaged data and its neighboring cell-averaged data. It is then conjectured that the same graphical rule can be generalized from uniform mesh to non-uniform mesh, such that the high-resolution total variance diminishing (TVD) region of slope limiter for non-uniform meshes can be obtained.