A Discontinuous Galerkin Overset Scheme Using WENO Reconstruction and Subcells for Two-Dimensional Problems

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. This scheme uses a standard...

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Bibliographic Details
Published in:Journal of scientific computing 2022-11, Vol.93 (2), p.35, Article 35
Main Authors: Kochi, S. R. Siva Prasad, Ramakrishna, M.
Format: Article
Language:English
Subjects:
Algorithms
Communication
Computational Mathematics and Numerical Analysis
Data communication
Discontinuity
Galerkin method
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Reconstruction
Theoretical
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Summary: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. This scheme uses a standard WENO reconstruction 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.
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-022-01991-9