113 citations · 408 across the 25 of their papers we have counts for
26 papers
A Massively Parallel Hybridizable Discontinuous Galerkin Solver for Direct Numerical Simulation of Compressible Flows on GPUs
Andrew Welter, Thea Collin, Ngoc Cuong Nguyen +1
Direct numerical simulation (DNS) of compressible transitional and turbulent flows requires numerical methods that combine high-order accuracy, robustness, and computational effici…
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…
Adaptive model reduction of high-order solutions of compressible flows via optimal transport
R. Loek Van Heyningen, Ngoc Cuong Nguyen, Patrick Blonigan +1
The solution of conservation laws with parametrized shock waves presents challenges for both high-order numerical methods and model reduction techniques. We introduce an r-adaptivi…
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…
Hybridizable discontinuous Galerkin methods for the Monge-Ampere equation
Ngoc Cuong Nguyen, Jaime Peraire
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically solving the Monge-Ampere equation. The first HDG method is devised to solve the nonlinear ellipti…
A high-order discontinuous Galerkin approach for physics-based thermospheric modeling
Jordi Vila-Pérez, Ngoc Cuong Nguyen, Jaume Peraire
The accurate prediction of aerodynamic drag on satellites orbiting in the upper atmosphere is critical to the operational success of modern space technologies, such as satellite-ba…
Efficient and accurate nonlinear model reduction via first-order empirical interpolation
Ngoc Cuong Nguyen, Jaime Peraire
We present a model reduction approach that extends the original empirical interpolation method to enable accurate and efficient reduced basis approximation of parametrized nonlinea…
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…
A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Cristian Ciraci +2
In this paper, we develop a nested hybridizable discontinuous Galerkin (HDG) method to numerically solve the Maxwell's equations coupled with the hydrodynamic model for the conduct…
Impact of surface roughness in nanogap plasmonic systems
Cristian Ciracì, Ferran Vidal-Codina, Daehan Yoo +3
Recent results have shown unprecedented control over separation distances between two metallic elements hundreds of nanometers in size, underlying the effects of free-electron nonl…
On the ability of discontinuous Galerkin methods to simulate under-resolved turbulent flows
Pablo Fernandez, Ngoc-Cuong Nguyen, Jaime Peraire
We investigate the ability of discontinuous Galerkin (DG) methods to simulate under-resolved turbulent flows in large-eddy simulation. The role of the Riemann solver and the subgri…
Entropy-stable hybridized discontinuous Galerkin methods for the compressible Euler and Navier-Stokes equations
Pablo Fernandez, Ngoc-Cuong Nguyen, Jaime Peraire
In the spirit of making high-order discontinuous Galerkin (DG) methods more competitive, researchers have developed the hybridized DG methods, a class of discontinuous Galerkin met…
Hybridized discontinuous Galerkin methods for wave propagation
Pablo Fernandez, Alexandra Christophe, Sebastien Terrana +2
We present the recent development of hybridizable and embedded discontinuous Galerkin (DG) methods for wave propagation problems in fluids, solids, and electromagnetism. In each of…
A physics-based shock capturing method for large-eddy simulation
Pablo Fernandez, Ngoc-Cuong Nguyen, Jaime Peraire
We present a shock capturing method for large-eddy simulation of turbulent flows. The proposed method relies on physical mechanisms to resolve and smooth sharp unresolved flow feat…
Non-modal analysis of spectral element methods: Towards accurate and robust large-eddy simulations
Pablo Fernandez, Rodrigo Moura, Gianmarco Mengaldo +1
We introduce a \textit{non-modal} analysis technique that characterizes the diffusion properties of spectral element methods for linear convection-diffusion systems. While strictly…
Computing parametrized solutions for plasmonic nanogap structures
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Jaime Peraire
The interaction of electromagnetic waves with metallic nanostructures generates resonant oscillations of the conduction-band electrons at the metal surface. These resonances can le…
A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Sang-Hyun Oh +1
The interaction of light with metallic nanostructures produces a collective excitation of electrons at the metal surface, also known as surface plasmons. These collective excitatio…
A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals
Ferran Vidal-Codina, Joel Saa-Seoane, Ngoc-Cuong Nguyen +1
We present a multiscale continuous Galerkin (MSCG) method for the fast and accurate stochastic simulation and optimization of time-harmonic wave propagation through photonic crysta…
Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method
Pablo Fernandez, Ngoc-Cuong Nguyen, Xevi Roca +1
We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Gale…
A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Mike B. Giles +1
We present a model and variance reduction method for the fast and reliable computation of statistical outputs of stochastic elliptic partial differential equations. Our method cons…
Functional Gaussian processes for regression with linear PDE models
Ngoc-Cuong Nguyen, Jaime Peraire
In this paper, we present a new statistical approach to the problem of incorporating experimental observations into a mathematical model described by linear partial differential eq…
Robust topology optimization of three-dimensional photonic-crystal band-gap structures
Han Men, Karen Y. K. Lee, Robert M. Freund +2
We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional ba…
Fabrication-Adaptive Optimization, with an Application to Photonic Crystal Design
Han Men, Robert M. Freund, Ngoc C. Nguyen +2
It is often the case that the computed optimal solution of an optimization problem cannot be implemented directly, irrespective of data accuracy, due to either (i) technological li…
Spectral approximations by the HDG method
J. Gopalakrishnan, F. Li, N. -C. Nguyen +1
We consider the numerical approximation of the spectrum of a second-order elliptic eigenvalue problem by the hybridizable discontinuous Galerkin (HDG) method. We show for problems…