Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids

Jin Seok Park; Chongam Kim

doi:10.1007/978-3-642-17884-9_20

Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids

Jin Seok Park, Chongam Kim

Seoul National University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

The present chapter deals with the continuous work of extending the multi-dimensional limiting process (MLP), which has been quite successful in finite volume methods (FVM), into discontinuous Galerkin (DG) methods. Based on successful analyses and implementations of the MLP slope limiting in FVM, MLP is applicable into DG framework with the MLP-based troubled-cell marker and the MLP slope limiter. Through several test cases, it is observed that the newly developed MLP combined with DG methods provides quite desirable performances in controlling numerical oscillations as well as capturing key flow features.

Original language	English
Title of host publication	Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010
Publisher	Kluwer Academic Publishers
Pages	179-184
Number of pages	6
ISBN (Print)	9783642178832
DOIs	https://doi.org/10.1007/978-3-642-17884-9_20
State	Published - 2011
Externally published	Yes
Event	6th International Conference on Computational Fluid Dynamics, ICCFD 2010 - St. Petersburg, Russian Federation Duration: 12 Jul 2010 → 16 Jul 2010

Publication series

Name	Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010

Conference

Conference	6th International Conference on Computational Fluid Dynamics, ICCFD 2010
Country/Territory	Russian Federation
City	St. Petersburg
Period	12/07/10 → 16/07/10

Access to Document

10.1007/978-3-642-17884-9_20

Cite this

Park, J. S., & Kim, C. (2011). Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010 (pp. 179-184). (Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-17884-9_20

Park, Jin Seok ; Kim, Chongam. / Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids. Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010. Kluwer Academic Publishers, 2011. pp. 179-184 (Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010).

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title = "Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids",

abstract = "The present chapter deals with the continuous work of extending the multi-dimensional limiting process (MLP), which has been quite successful in finite volume methods (FVM), into discontinuous Galerkin (DG) methods. Based on successful analyses and implementations of the MLP slope limiting in FVM, MLP is applicable into DG framework with the MLP-based troubled-cell marker and the MLP slope limiter. Through several test cases, it is observed that the newly developed MLP combined with DG methods provides quite desirable performances in controlling numerical oscillations as well as capturing key flow features.",

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Park, JS & Kim, C 2011, Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids. in Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010. Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010, Kluwer Academic Publishers, pp. 179-184, 6th International Conference on Computational Fluid Dynamics, ICCFD 2010, St. Petersburg, Russian Federation, 12/07/10. https://doi.org/10.1007/978-3-642-17884-9_20

Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids. / Park, Jin Seok; Kim, Chongam.
Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010. Kluwer Academic Publishers, 2011. p. 179-184 (Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The present chapter deals with the continuous work of extending the multi-dimensional limiting process (MLP), which has been quite successful in finite volume methods (FVM), into discontinuous Galerkin (DG) methods. Based on successful analyses and implementations of the MLP slope limiting in FVM, MLP is applicable into DG framework with the MLP-based troubled-cell marker and the MLP slope limiter. Through several test cases, it is observed that the newly developed MLP combined with DG methods provides quite desirable performances in controlling numerical oscillations as well as capturing key flow features.

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Park JS, Kim C. Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010. Kluwer Academic Publishers. 2011. p. 179-184. (Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010). doi: 10.1007/978-3-642-17884-9_20

Multi-dimensional limiting process for discontinuous galerkin methods on unstructured grids

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