The ability to advance locally-stiff systems of equations in time depends on accurate and
efficient temporal schemes. Recently, a new family of Paired Explicit Runge-Kutta (P-ERK) …

This work introduces two new non-dimensional gradient-based adaptation indicators for
feature-based polynomial adaptation with high-order unstructured methods when used for …

Performing industrial scale incompressible Large Eddy Simulation (LES) remains
particularly challenging due to computational cost limitations. Recently, the Entropically …

A novel optimization procedure for the generation of stability polynomials of stabilized
explicit Runge–Kutta methods is devised. Intended for semidiscretizations of hyperbolic …

We investigate the feasibility of gradient-free aeroacoustic shape optimization using the flux
reconstruction (FR) approach to study two-dimensional flow at low Reynolds numbers. The …

The paper is devoted to the parametric stability optimization of explicit Runge–Kutta
methods with higher-order derivatives. The key feature of these methods is the dependence …

In this paper, we generate optimal Runge–Kutta stability polynomials for several finite-
volume spatial discretizations. From these stability polynomials we generate Butcher …

We present an aeroacoustic shape optimization framework that relies on high-order Flux
Reconstruction (FR) spatial discretization, the gradient-free Mesh Adaptive Direct Search …

This study presents an aeroacoustic shape optimization framework that integrates a Flux
Reconstruction (FR) spatial discretization, Large Eddy Simulation (LES), Ffowcs-Williams …

In this paper, we validate a previously proposed highorder method for simulating unsteady
flows for a helicopter rotor in hover. To demonstrate the performance and efficiency of this …