38 citations · 51 across the 6 of their papers we have counts for
6 papers
Discontinuous Galerkin Methods for Hypersonic Flows
Dominique S. Hoskin, R. Loek Van Heyningen, Ngoc Cuong Nguyen +3
In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an attractive approach for numerical simulations of compressible flows. This paper presents an overv…
Optimal transport for mesh adaptivity and shock capturing of compressible flows
Ngoc Cuong Nguyen, R. Loek Van Heyningen, Jordi Vila-Perez +1
We present an optimal transport approach for mesh adaptivity and shock capturing of compressible flows. Shock capturing is based on a viscosity regularization of the governing equa…
An adaptive viscosity regularization approach for the numerical solution of conservation laws: Application to finite element methods
Ngoc Cuong Nguyen, Jordi Vila-Perez, Jaime Peraire
We introduce an adaptive viscosity regularization approach for the numerical solution of systems of nonlinear conservation laws with shock waves. The approach seeks to solve a sequ…
Exasim: Generating Discontinuous Galerkin Codes for Numerical Solutions of Partial Differential Equations on Graphics Processors
Jordi Vila-Pérez, R. Loek Van Heyningen, Ngoc-Cuong Nguyen +1
This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve p…
A non-oscillatory face-centred finite volume method for compressible flows
Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1
This work presents the face-centred finite volume (FCFV) paradigm for the simulation of compressible flows. The FCFV method defines the unknowns at the face barycentre and uses a h…
Hybridisable discontinuous Galerkin formulation of compressible flows
Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1
This work presents a review of high-order hybridisable discontinuous Galerkin (HDG) methods in the context of compressible flows. Moreover, an original unified framework for the de…