Open AccessParameterization of the Density Component in the Composite Wave Curve in a Fluid Flow Model in a Tube with Variable Cross-Section
Author(s) -
Tran Dang Hung
Publication year - 2022
Publication title -
saudi journal of engineering and technology
Language(s) - English
Resource type - Journals
eISSN - 2415-6272
pISSN - 2415-6264
DOI - 10.36348/sjet.2022.v07i03.004
Subject(s) - riemann problem , riemann hypothesis , rarefaction (ecology) , mathematics , mathematical analysis , flow (mathematics) , kinematic wave , riemann's differential equation , variable (mathematics) , section (typography) , riemann solver , range (aeronautics) , component (thermodynamics) , physics , riemann xi function , geometry , mechanics , computer science , geology , thermodynamics , materials science , ecology , finite volume method , surface runoff , composite material , biology , operating system , paleontology , species richness
We first investigate the general properties of the system and identify all possible wave combinations. Second, a critical investigation of the Riemann problem yields definite results for large data about the existence of Riemann solutions made of Lax shocks, rarefaction waves, and admissible stationary contacts. In some range of Riemann data, no solution exists. We can identify relatively large neighborhoods of Riemann data in which the Riemann problem admits a unique solution.