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 …

We herein present a novel methodology to construct very high order well-balanced schemes
for the computation of the Euler equations with gravitational source term, with application to …

Jump penalty stabilization techniques for under-resolved turbulence have been recently
proposed for continuous and discontinuous high order Galerkin schemes [1],[2],[3]. The …

This paper presents eigensolution and non-modal analyses for immersed boundary
methods (IBMs) based on volume penalization for the linear advection equation. This …

We present a new linear eigensolution analysis technique that provides superior estimates
of dissipation distribution in wavenumber space for the discontinuous Galerkin (DG) method …

The weighted essentially non-oscillatory (WENO) scheme is one of the most popular shock-
capturing schemes, and constructing a more efficient and higher-order WENO scheme has …

This paper focuses on the design and analysis of very high-order finite volume methods for
the computation of simplified meso-and micro-scale atmospheric flows. In a dry atmosphere …

We present a stable spectral vanishing viscosity for discontinuous Galerkin schemes, with
applications to turbulent and supersonic flows. The idea behind the SVV is to spatially filter …

There has been an increasing interest in developing efficient immersed boundary method
(IBM) based on Cartesian grids, recently in the context of high-order methods. IBM based on …