There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

We present a GPU-accelerated version of a high-order discontinuous Galerkin discretization
of the unsteady incompressible Navier–Stokes equations. The equations are discretized in …

We present a novel hybrid methodology combining the reference map theory with the level-
set method for tracking moving interfaces. Instead of directly advecting the level-set function …

A discontinuous Galerkin method for the discretization of the compressible Euler equations,
the governing equations of inviscid fluid dynamics, on Cartesian meshes is developed for …

An adaptive fully discontinuous Galerkin level set method for incompressible multiphase flows |
Emerald Insight Books and journals Case studies Expert Briefings Open Access Publish with us …

This paper presents a simple and highly accurate method for capturing sharp interfaces
moving in divergence-free velocity fields using the high-order Flux Reconstruction approach …

We formulate a numerical framework, in both 2d and 3d, to model the structural patterns
emerging from creeping viscous flow typically encountered in long‐term ductile lithospheric …

In this paper, an efficient, high-order accurate, level set reinitialisation method is proposed,
based on the elliptic reinitialisation method (Basting and Kuzmin, 2013 [1]), which is …

We present a novel technique for solving extension problems such as the extension velocity,
by reformulating the problem into an elliptic differential equation. We introduce a novel …

This work presents three algorithms for the level set modeling of phase boundaries. The
application of these algorithms are high-order extended discontinuous Galerkin methods for …