Wave-Appropriate Reconstruction of Compressible Multiphase and Multicomponent Flows: Fully Conservative and Semi-Conservative Eigenstructures
This paper derives the complete eigenstructures for both fully conservative and semi-conservative formulations of the Allaire five-equation model, demonstrating that characteristic-space reconstruction is essential for eliminating spurious pressure oscillations at material interfaces while revealing that shear waves are decoupled from thermodynamic and interface fields in compressible multiphase flows.