3 papers
cs.CE2025
An entropy-stable and kinetic energy-preserving macro-element HDG method for compressible flows
Vahid Badrkhani, Marco F. P. ten Eikelder, Dominik Schillinger
This paper introduces a high order numerical framework for efficient and robust simulation of compressible flows. To address the inefficiencies of standard hybridized discontinuous…
cs.CE2025
An Entropy-Stable/Double-Flux scheme for the multi-component compressible Navier-Stokes equations
Vahid Badrkhani, T. Jeremy P. Karpowsk, Christian Hasse
We present a novel combination of numerical techniques to improve the efficiency, accuracy, and robustness of multi-component compressible flow simulations. At the core of our appr…
cs.CE2024
The matrix-free macro-element hybridized Discontinuous Galerkin method for steady and unsteady compressible flows
Vahid Badrkhani, Marco F. P. ten Eikelder, Rene R. Hiemstra +1
The macro-element variant of the hybridized discontinuous Galerkin (HDG) method combines advantages of continuous and discontinuous finite element discretization. In this paper, we…