Accurate ENO-like schemes for the model of fluid flows in a nozzle with variable cross-section
نویسندگان
1 Department of Mathematics, Ho Chi Minh City University of Education, 280 An Duong Vuong str., District 5, Ho Chi Minh City, Vietnam.
2 Corresponding author, Department of Mathematics, International University, Quarter 6, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Vietnam.
doi
10.22067/ijnao.2025.87744.1431چکیده
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.
