43 citations · 136 across the 9 of their papers we have counts for
10 papers
Feasibility analysis of ensemble sensitivity computation in turbulent flows
Nisha Chandramoorthy, Pablo Fernandez, Chaitanya Talnikar +1
In chaotic systems, such as turbulent flows, the solutions to tangent and adjoint equations exhibit an unbounded growth in their norms. This behavior renders the instantaneous tang…
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…
Sensitivity analysis on chaotic dynamical systems by Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS)
Angxiu Ni, Qiqi Wang, Pablo Fernandez +1
We present the Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS) algorithm for computing sensitivities of long-time averaged quantities in chaotic dynamical system…
Toward a chaotic adjoint for LES
Patrick J. Blonigan, Pablo Fernandez, Scott M. Murman +3
Adjoint-based sensitivity analysis methods are powerful tools for engineers who use flow simulations for design. However, the conventional adjoint method breaks down for scale-reso…
Lyapunov spectrum of separated flows and its dependence on numerical discretization
Pablo Fernandez, Qiqi Wang
We investigate the Lyapunov spectrum of separated flows and their dependence on the numerical discretization. The chaotic flow around the NACA 0012 airfoil at low Reynolds number a…
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…