Accurate ENO-like schemes for the model of fluid flows in a nozzle with variable cross-section

Iranian Journal of Numerical Analysis and Optimization

مقاله 15، دوره 15، Issue 3 - شماره پیاپی 34، آذر 2025، صفحه 1275-1309   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.87744.1431

نویسندگان

D.H. Cuong¹؛ M.D. Thanh^{* 2، 3}

¹Department of Mathematics, Ho Chi Minh City University of Education, 280 An Duong Vuong str., District 5, Ho Chi Minh City, Vietnam.

²Corresponding author, Department of Mathematics, International University, Quarter 6, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Vietnam.

³Vietnam National University, Ho Chi Minh City, Vietnam.

چکیده

A class of accurate high-order $ENO$-like schemes for the model of fluid flows in a nozzle with variable cross-section is presented. The model contains a nonconservative source term, which causes unsatisfactory results to standard numerical schemes, even for low-order ones. The proposed schemes rely on exact Riemann solvers and the reconstructed piecewise polynomials which are nonoscillatory. These schemes inherit the high-order precision of the $ENO$ schemes like many existing $ENO$-type schemes, and possess a good accuracy. The $ENO$-like scheme corresponding to $k = 3$ can ge the precision as good as van Leer-type schemes, and is numerically stable. Moreover, the $ENO$-like schemes for larger k may suffer from oscillations. 

کلیدواژه‌ها

Nonconservative؛ Numerical approximation؛ Essentially nonoscillatory scheme؛ Accuracy؛ Resonance

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