In 1917, the British scientist LF Richardson made the first reported attempt to predict the
weather by solving partial differential equations numerically, by hand! It is generally …

UCNS3D is an open-source computational solver for compressible flows on unstructured
meshes. State-of-the-art high-order methods and their associated benefits can now be …

This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

We present a global, closed‐loop, multiscale mathematical model for the human circulation
including the arterial system, the venous system, the heart, the pulmonary circulation and the …

In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …

We propose a simple extension of the well-known Riemann solver of Osher and Solomon
(Math. Comput. 38: 339–374, 1982) to a certain class of hyperbolic systems in non …

In this paper, we propose a new unified family of arbitrary high order accurate explicit one-
step finite volume and discontinuous Galerkin schemes on unstructured triangular and …

This paper extends the MOOD method proposed by the authors in [A high-order finite
volume method for hyperbolic systems: Multi-Dimensional Optimal Order Detection (MOOD) …

In this work, we design an arbitrary high order accurate nodal discontinuous Galerkin
spectral element type method for the one dimensional shallow water equations. The novel …

In this paper we propose a simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …