A discontinuous Galerkin overset scheme using WENO reconstruction and subcells for two-dimensional problems

Autor:	Kochi, S R Siva Prasad, Ramakrishna, M
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis 35L65 35L67 76M20 76J20
Druh dokumentu:	Working Paper
Popis:	A new scheme for communication between overset grids using subcells and Weighted Essentially Non Oscillatory (WENO) reconstruction for two-dimensional problems has been proposed. The effectiveness of this procedure is demonstrated using the discontinuous Galerkin method (DGM). This scheme uses WENO reconstruction using cell averages by dividing the immediate neighbors into subcells to find the degrees of freedom in cells near the overset interface. This also has the added advantage that it also works as a limiter if a discontinuity passes through the overset interface. Accuracy tests to demonstrate the maintenance of higher order are provided. Results containing shocks are also provided to demonstrate the limiter aspect of the data communication procedure. Comment: 20 pages, 17 figures, 3 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.06285 Zobrazit plný text záznamu View this record from Arxiv