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Portable simulation framework for diffusion MRI
(2019-09-23)
The numerical simulation of the diffusion MRI signal arising from complex tissue micro-structures is helpful for understanding and interpreting imaging data as well as for designing and optimizing MRI sequences. The ...
Computability and Adaptivity in CFD
(2019)
We give a brief introduction to research on adaptive computational methods for laminar compressible and incompressible flow, and then focus on computability and adaptivity for turbulent incompressible flow, where we present ...
Finite Element Simulations of Two-phase Flow and Floating Bodies Using FEniCS-HPC
(2018-07)
We present a variational multiscale stabilized finite element method to solve the variable density incompressible Navier-Stokes equations for the simulation of two-phase flow. We introduce a level-set method based on the ...
A partition of unity finite element method for computational diffusion MRI
(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 ...
Time-resolved Adaptive Direct FEM Simulation of High-lift Aircraft 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 ...
Direct finite element simulation of turbulent flow for marine based renewable energy
(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 ...
Direct FEM large scale computation of turbulent multiphase flow in urban water systems and marine energy
(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 ...
A FEniCS-HPC framework for multi-compartment Bloch-Torrey models
(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 ...
FEniCS-HPC: Automated predictive high-performance finite element computing with applications in aerodynamics
(2016-01-01)
Developing multiphysics finite element methods (FEM) and scalable HPC implementations can be very challenging in terms of software complexity and performance, even more so with the addition of goal-oriented adaptive mesh ...
New Theory of Flight
(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. ...