3 papers
math.NA2026
Isothermal walls in the compressible Navier-Stokes equations: affine entropy, ballistic energy, and entropy-stable discrete formulations
Matteo Parsani, Rasha AlJahdali, Lisandro Dalcin
We develop entropy-stable isothermal-wall conditions for the compressible Navier--Stokes equations at continuous and semi-discrete levels. For a stationary, impermeable, no-slip wa…
math.NA2024
Entropy conservative and entropy stable solid wall boundary conditions for the resistive magnetohydrodynamic equations
Vladimir Pimanov, Lisandro Dalcin, Matteo Parsani
We present a novel technique for imposing non-linear entropy conservative and entropy stable wall boundary conditions for the resistive magnetohydrodynamic equations in the presenc…
math.NA2024
Fully-discrete provably Lyapunov consistent discretizations for convection-diffusion-reaction PDE systems
Rasha Al Jahdali, David C. Del Rey Fernandez, Lisandro Dalcin +1
Convection-diffusion-reaction equations are a class of second-order partial differential equations widely used to model phenomena involving the change of concentration/population o…