Derives explicit left and right eigenvectors for the Allaire model that enforce pressure-velocity equilibrium at interfaces via a thermodynamic jump term in the conservative form and a structural zero in the semi-conservative form.
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Optimized acoustic bias plus rank-1 entropy correction in characteristic reconstruction improves efficiency and removes the need for contact-discontinuity detectors in compressible CFD.
The paper develops a wave-structure-based multidimensional upwinding algorithm for compressible multiphase flows that tailors reconstruction schemes to acoustic, vorticity, and entropy waves plus interfaces to improve accuracy and reduce artifacts.
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