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

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 خرداد 1404

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.87744.1431

نویسندگان

Dao Huy Cuong¹؛ Mai Duc 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.

²Department 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 non-conservative source term, which causes unsatisfactory results to standard numerical schemes, even for low-order ones. The proposed schemes are relied on exact Riemann solvers and the reconstructed piecewise polynomials which are non-oscillatory. 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 gets the precision as good as van Leer-type schemes, and numerically stable. And, the ENO-like schemes for larger $k$ may suffer oscillations.

کلیدواژه‌ها

Nonconservative؛ Numerical approximation؛ Essentially non-oscillatory scheme؛ Accuracy؛ Resonance