5 papers
Adaptive Local Proper Orthogonal Decomposition via Graph Partitioning and Provable Error-Bounded Lossy Compression for Parametric Series in Finite-Dimensional Function Spaces
Roberto Nuca, Matteo Parsani, Lisandro Dalcin
We introduce a spatially adaptive proper orthogonal decomposition (POD) method for error-bounded lossy compression of snapshot data in finite-dimensional function spaces. The metho…
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…
Entropy-stable moving-wall boundary conditions for the ALE formulation of the compressible Navier-Stokes equations
Luca Galimberti, Roberto Nuca, Lisandro Dalcin +2
We present a high-order entropy-stable framework for the compressible Euler and Navier-Stokes equations on moving domains. The space-time mapping describing the domain motion is re…
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…
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…