Advertisement
Published in:
2022 | OriginalPaper | Chapter
2D Basis Functions for Triangular and Rectangular Meshes
Authors : Jürgen Steppeler, Jinxi Li
Published in: Mathematics of the Weather
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
Abstract
This chapter defines 2D field representations used for L-Galerkin methods, such as SE, FE, and onom. For convenience and ease of understanding, some formulas are given for regular cell structures. A generalization to irregular cells is possible. More general cell structures, such as quadrilaterals or hexagons, can be derived from the triangular representation by treating some of the amplitudes as diagnostic. Even if applicable to irregular meshes, the meshes will be presented as structured. For research in new numerical methods, structured test models have the advantage of being easy to create. Unstructured programming is conveniently done by using a neighborhood management system, which is present in the MPAS, COSMO, and Fluidity models.