### Recent Submissions

• #### International energy agency ocean energy systems task 10 wave energy converter modeling verification and validation ﻿

(Proceedings of European Wave and Tidal Energy Conference, 2017)
This is the first joint reference paper for the Ocean Energy Systems (OES) Task 10 Wave Energy Converter modeling verification and validation group. The group is established under the OES Energy Technology Network program ...
• #### A partition of unity finite element method for computational diffusion MRI ﻿

(Journal of Computational Physics, 2018)
The Bloch–Torrey equation describes the evolution of the spin (usually water proton) magnetization under the influence of applied magnetic field gradients and is commonly used in numerical simulations for diffusion MRI ...
• #### Simulation of the HarshLab floating platform for offshore experimentation using FEniCS-HPC ﻿

(Poster EUSKAMPUS IV Marine Energy Conference, 2017)
• #### Direct finite element simulation of turbulent flow for marine based renewable energy ﻿

(Companion paper to F. Wendt, et. al. International energy agency ocean energy systems task 10 wave energy converter modeling verification and validation. In 12th European Wave and Tidal Energy Conference, 2017., 2017)
In this article we present a computational framework for simulation of turbulent flow in marine based renewable energy applications. In particular, we focus on floating structures and rotating turbines. This work is an ...
• #### Numerical simulation of the von Kármán sodium dynamo experiment ﻿

(Journal of Fluid Mechanics, 2018-09-03)
We present hydrodynamic and magnetohydrodynamic (MHD) simulations of liquid sodium flows in the von Kármán sodium (VKS) set-up. The counter-rotating impellers made of soft iron that were used in the successful 2006 experiment ...
• #### Variational multiscale stabilization for compressible flow ﻿

(Computer Methods in Applied Mechanics and Engineering, 2018)
This paper presents a variational multiscale stabilization for the finite element numerical solution of the Euler and Navier-Stokes equations of compressible flow. All the components of the dual operator are considered in ...
• #### A $C^0$ INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD FOR FOURTH ORDER TOTAL VARIATION FLOW ﻿

(Journal of Mathematical analysis and applications, 2017)
We consider the numerical solution of a fourth order total variation flow problem representing surface relaxation below the roughening temperature. Based on a regularization and scaling of the nonlinear fourth order parabolic ...
• #### Time-resolved Adaptive Direct FEM Simulation of High-lift Aircraft Configurations ﻿

(Numerical simulation of the aerodynamics of high-lift configurations, 2017-08-01)
Our simulation methodology is referred to as Direct FEM Simulation (DFS), or General Galerkin (G2) and uses a finite element method (FEM) with piecewise linear approximation in space and time, and with numerical stabilization ...
• #### Towards HPC-Embedded Case Study: Kalray and Message-Passing on NoC ﻿

(Scalable Computing, 2017)
Today one of the most important challenges in HPC is the development of computers with a low power consumption. In this context, recently, new embedded many-core systems have emerged. One of them is Kalray. Unlike other ...
• #### Towards the development of adaptive finite element methods for internal flow aeroacoustics ﻿

(19th AIAA/CEAS Aeroacoustics Conference, 2013-12-31)
We report the latest results obtained in the development of an adaptive finite element method for computational aeroacoustics (CAA). The new methodology is based on the General Galerkin (G2) method, which has been successfully ...
• #### Computation of slat noise sources using adaptive FEM and lighthill's analogy ﻿

(19th AIAA/CEAS Aeroacoustics Conference, 2013-12-31)
This is a summary of preliminary results from simulations with the 30P30N high-lift device. We used the General Galerkin finite element method (G2), where no explicit subgrid model is used, and where the computational mesh ...
• #### Framework for adaptive fluid-structure interaction with industrial applications ﻿

(International Journal of Materials Engineering Innovation, 2013-12-31)
We present developments in the Unicorn-HPC framework for unified continuum mechanics, enabling adaptive finite element computation of fluid-structure interaction, and an overview of the larger FEniCS-HPC framework for ...
• #### A two-level finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the ocean ﻿

(Computers and Mathematics with Applications, 2013-12-31)
In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the two-level ...
• #### Multipreconditioned GMRES for Shifted Systems ﻿

(SIAM Journal on Scientific Computing, 2017-01-01)
An implementation of GMRES with multiple preconditioners (MPGMRES) is proposed for solving shifted linear systems with shift-and-invert preconditioners. With this type of preconditioner, the Krylov subspace can be built ...
• #### Leveraging the performance of LBM-HPC for large sizes on GPUs using ghost cells ﻿

(Algorithms and Architectures for Parallel Processing, 2016-11-25)
Today, we are living a growing demand of larger and more efficient computational resources from the scientific community. On the other hand, the appearance of GPUs for general purpose computing supposed an important advance ...
• #### A FEniCS-HPC framework for multi-compartment Bloch-Torrey models ﻿

(Proceesings of ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering, 2016-11-30)
In diffusion nuclear magnetic resonance (NMR) and diffusion magnetic resonance imaging (MRI), the multi-compartment Bloch-Torrey equation plays an important role in probing the diffusion characteristics from a nanometer ...
• #### Direct FEM large scale computation of turbulent multiphase flow in urban water systems and marine energy ﻿

(Proceesings of ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering, 2016-11-30)
High-Reynolds number turbulent incompressible multiphase flow represents a large class of engineering problems of key relevance to society. Here we describe our work on modeling two such problems: 1. The Consorcio de Aguas ...
• #### Leveraging the Performance of LBM-HPC for Large Sizes on GPUs using Ghost Cells ﻿

(ICA3PP: 15th International Conference on Algorithms and Architectures for Parallel Processing, 2016-11-10)
Today, we are living a growing demand of larger and more efficient computational resources from the scienti c community. On the other hand, the appearance of GPUs for general purpose computing supposed an important advance ...
• #### New Theory of Flight ﻿

(Journal of Mathematical Fluid Mechanics, 2016-01-01)
We present a new mathematical theory explaining the fluid mechanics of subsonic flight, which is fundamentally different from the existing boundary layer-circulation theory by Prandtl–Kutta–Zhukovsky formed 100 year ago. ...
• #### Many-task computing on many-core architectures ﻿

(Scalable Computing, 2016-01-01)
Many-Task Computing (MTC) is a common scenario for multiple parallel systems, such as cluster, grids, cloud and supercomputers, but it is not so popular in shared memory parallel processors. In this sense and given the ...