Well-balanced and positivity-preserving Roe-type numerical scheme for the model of fluid flows in a nozzle with variable cross-section

DOI10.11650/TJM/230804OpenAlexW4386891798MaRDI QIDQ6145758

Nguyen Nhat Nam, Ngo Nguyen Quoc Bao, Dao Huy Cuong, Nguyen Duy Khang

Publication date: 2 February 2024

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm/230804

zbMATH Keywords

accuracywell-balancednon-conservativeRoe-type schemepositive preserving

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

• A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section
• The Riemann problem for a class of resonant hyperbolic systems of balance laws
• Numerical approximation of hyperbolic systems of conservation laws
• Definition and weak stability of nonconservative products
• The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
• WELL-BALANCED ROE-TYPE NUMERICAL SCHEME FOR A MODEL OF TWO-PHASE COMPRESSIBLE FLOWS
• A HIGH-RESOLUTION VAN LEER-TYPE SCHEME FOR A MODEL OF FLUID FLOWS IN A NOZZLE WITH VARIABLE CROSS-SECTION
• The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section
• The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
• An Upwind Second-Order Scheme for Compressible Duct Flows
• Nonlinear Resonance in Systems of Conservation Laws
• Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
• A robust and entropy-satisfying numerical scheme for fluid flows in discontinuous nozzles
• Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section

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