Dramatic changes to aircraft design are on the horizon to meet ambitious efficiency and
emissions targets. This will bring about changes in the role and design of aero-engines …

The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …

The benchmarking case of flow past a circular cylinder at the Reynolds number (Re) of 3900
is computed with two open-source codes, OpenFOAM and Nektar++, which are based on …

High order (HO) schemes are attractive candidates for the numerical solution of multiscale
problems occurring in fluid dynamics and related disciplines. Among the HO discretization …

Deep neural operators, such as DeepONet, have changed the paradigm in high-
dimensional nonlinear regression, paving the way for significant generalization and speed …

We present the latest developments of our High-Order Spectral Element Solver (Image 1),
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …

The simulation of fluid dynamics, typically by numerically solving partial differential
equations, is an essential tool in many areas of science and engineering. However, the high …

We present STREAmS, an in-house high-fidelity solver for direct numerical simulations
(DNS) of canonical compressible wall-bounded flows, namely turbulent plane channel, zero …

Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …

We present estimates of spectral resolution power for under-resolved turbulent Euler flows
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …