Recent progress on high-order discontinuous schemes for simulations of multiphase and multicomponent flows
Y Lv, J Ekaterinaris - Progress in Aerospace Sciences, 2023 - Elsevier
There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …
recent years. With established theoretical basis and framework, more efforts have recently …
A GPU accelerated discontinuous Galerkin incompressible flow solver
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 …
of the unsteady incompressible Navier–Stokes equations. The equations are discretized in …
A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation
T Bellotti, M Theillard - Journal of Computational Physics, 2019 - Elsevier
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 …
set method for tracking moving interfaces. Instead of directly advecting the level-set function …
Gpu-accelerated discontinuous galerkin methods: 30x speedup on 345 billion unknowns
AC Kirby, DJ Mavriplis - 2020 IEEE High Performance Extreme …, 2020 - ieeexplore.ieee.org
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 …
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
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 …
Emerald Insight Books and journals Case studies Expert Briefings Open Access Publish with us …
A high order flux reconstruction interface capturing method with a phase field preconditioning procedure
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 …
moving in divergence-free velocity fields using the high-order Flux Reconstruction approach …
Modeling Multi‐Material Structural Patterns in Tectonic Flow With a Discontinuous Galerkin Level Set Method
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 …
emerging from creeping viscous flow typically encountered in long‐term ductile lithospheric …
[HTML][HTML] A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation
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 …
based on the elliptic reinitialisation method (Basting and Kuzmin, 2013 [1]), which is …
A high‐order discontinuous Galerkin method for extension problems
T Utz, F Kummer - … Journal for Numerical Methods in Fluids, 2018 - Wiley Online Library
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 …
by reformulating the problem into an elliptic differential equation. We introduce a novel …
Level set methods for high-order unfitted discontinuous Galerkin schemes
T Utz - 2018 - tuprints.ulb.tu-darmstadt.de
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 …
application of these algorithms are high-order extended discontinuous Galerkin methods for …