Numerical homogenization beyond scale separation
Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …
partial differential equations. It aims at reducing complex large-scale problems to simplified …
A review of variational multiscale methods for the simulation of turbulent incompressible flows
Various realizations of variational multiscale (VMS) methods for simulating turbulent
incompressible flows have been proposed in the past fifteen years. All of these realizations …
incompressible flows have been proposed in the past fifteen years. All of these realizations …
[BUKU][B] Robust numerical methods for singularly perturbed differential equations
HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …
century, when approximate solutions were constructed from asymptotic expansions …
Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …
various cardiac diseases, which remain the most common cause of death in the developed …
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
We present an LES-type variational multiscale theory of turbulence. Our approach derives
completely from the incompressible Navier–Stokes equations and does not employ any ad …
completely from the incompressible Navier–Stokes equations and does not employ any ad …
Isogeometric fluid–structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
In this paper we develop a framework for fluid–structure interaction (FSI) modeling and
simulation with emphasis on isogeometric analysis (IGA) and non-matching fluid–structure …
simulation with emphasis on isogeometric analysis (IGA) and non-matching fluid–structure …
3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics
In this two‐part paper we present a collection of numerical methods combined into a single
framework, which has the potential for a successful application to wind turbine rotor …
framework, which has the potential for a successful application to wind turbine rotor …
[BUKU][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
Multiscale space–time fluid–structure interaction techniques
We present the multiscale space–time techniques we have developed for fluid–structure
interaction (FSI) computations. Some of these techniques are multiscale in the way the time …
interaction (FSI) computations. Some of these techniques are multiscale in the way the time …
Large eddy simulation of turbulent Taylor–Couette flow using isogeometric analysis and the residual-based variational multiscale method
We present an application of the residual-based variational multiscale turbulence modeling
(RBVMS) methodology to the computation of turbulent Taylor–Couette flow at high Reynolds …
(RBVMS) methodology to the computation of turbulent Taylor–Couette flow at high Reynolds …