An iterative method to obtain analytical-numerical approximation of the one-dimensional gas flow transport solution in conical ducts

DOI10.1016/J.MCM.2004.06.017zbMath1129.76354OpenAlexW1979839206MaRDI QIDQ814285

N. E. Zubov

Publication date: 6 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.06.017

zbMATH Keywords

Euler equationsChebyshev approximationAnalytical-numerical solutionConical ducts

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (1)

1D gas dynamic modelling of mass conservation in engine duct systems with thermal contact discontinuities

Cites Work

• A new iterative method for flow calculation in intake and exhaust systems of internal combustion engines
• Analytic-numerical approach to flow calculation in intake and exhaust systems of internal combustion engines
• Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems
• Numerical solution of multi-point boundary value problems in Chebyshev series. Theorie of the method
• Applications of analysis on nilpotent groups to partial differential equations
• Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws

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