3 papers
math.NA2026
Analysis, thermodynamics, and a numeric solver for a pressure-temperature equilibrium closure of the four-equation model
Bennett Clayton, Joshua McConnell, Clell Solomon
We analyze an often used closure model for multi-material hydrodynamics where pressure temperature equilibrium (PTE) is assumed for every state; emphasis is placed on tabular equat…
math.NA2025
Preserving the minimum principle on the entropy for the compressible Euler Equations with general equations of state
Bennett Clayton, Eric J. Tovar
This paper is concerned with constructing an invariant-domain preserving approximation technique for the compressible Euler equations with general equations of state that preserves…
math.NA2025
Second-order invariant-domain preserving approximation to the multi-species Euler equations
Bennett Clayton, Tarik Dzanic, Eric J. Tovar
This work is concerned with constructing a second-order, invariant-domain preserving approximation of the compressible multi-species Euler equations where each species is modeled b…