A realizable second-order advection method with variable flux limiters for moment transport equations
SCIE
SCOPUS
- Title
- A realizable second-order advection method with variable flux limiters for moment transport equations
- Authors
- Choi, Byeongyeob; Baek, Jehyun; You, Donghyun
- Date Issued
- 2023-01
- Publisher
- Academic Press
- Abstract
- A second-order total variation diminishing (TVD) method with variable flux limiters is proposed to overcome the non-realizability issue, which has been one of major obstacles in applying the conventional second-order TVD schemes to the moment transport equations. In the present method, a realizable moment set at a cell face is reconstructed by allowing the flexible selection of the flux limiter values within the second-order TVD region. Necessary conditions for the variable flux limiter scheme to simultaneously satisfy the realizability and the second-order TVD property for the third-order moment set are proposed. The strategy for satisfying the second-order TVD property is conditionally extended to the fourth- and fifth-order moments. The proposed method is verified and compared with other high-order realizable schemes in one- and two-dimensional configurations, and is found to preserve the realizability of moments while satisfying the high-order TVD property for the third-order moment set and conditionally for the fourth- and fifth-order moments. © 2022 Elsevier Inc.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/115968
- DOI
- 10.1016/j.jcp.2022.111767
- ISSN
- 0021-9991
- Article Type
- Article
- Citation
- Journal of Computational Physics, vol. 473, page. 111767, 2023-01
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