- Tytuł:
- Numerical discrepancies of using a nonconservative formulation of the compressible gas flow model
- Autorzy:
- Uilhoorn, Ferdinand E.
- Powiązania:
- https://bibliotekanauki.pl/articles/122878.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
shock phenomenon
TVD-MUSCL
WENO-Z
numerical error
system gazociągów
zjawisko szoku
błąd numeryczny - Opis:
- In this article, we investigated the shock phenomenon in gas pipeline systems. We particularly address the numerical discrepancies introduced when using a primitive variable-based formulation of the compressible gas flow model. For the analysis, we compared two different schemes, namely, van Leer’s second-order Monotonic Upstream-centered Scheme for Conservation Laws scheme (TVD-MUSCL) together with Roe’s superbee slope limiter and the fifth-order accurate finite volume weighted essentially non-oscillatory scheme (WENO5-Z). For the numerical flux, we implemented the Rusanov solver. The time stepping was done with a strong stability preserving Runge-Kutta method. The method of manufactured solutions was used to verify the code accuracy. Based on a series of numerical experiments, we showed that the local errors become more visible if we use the WENO5-Z reconstruction.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 101-113
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł