3 papers
math.NA2025
A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
Jake Harmon, Martin Kronbichler, Matthias Maier +1
We propose a rigorous, conservative invariant-domain preserving (IDP) projection technique for hierarchical discretizations that enforces membership in physics-implied convex sets…
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…
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…