On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
A Linke - Computer methods in applied mechanics and …, 2014 - Elsevier
According to the Helmholtz decomposition, the irrotational parts of the momentum balance
equations of the incompressible Navier–Stokes equations are balanced by the pressure …
equations of the incompressible Navier–Stokes equations are balanced by the pressure …
[图书][B] Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis
WJ Layton, LG Rebholz - 2012 - books.google.com
This volume presents a mathematical development of a recent approach to the modeling
and simulation of turbulent flows based on methods for the approximate solution of inverse …
and simulation of turbulent flows based on methods for the approximate solution of inverse …
On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond
An improved understanding of the divergence-free constraint for the incompressible Navier–
Stokes equations leads to the observation that a semi-norm and corresponding equivalence …
Stokes equations leads to the observation that a semi-norm and corresponding equivalence …
An accurate finite element method for the numerical solution of isothermal and incompressible flow of viscous fluid
BE Abali - Fluids, 2019 - mdpi.com
Despite its numerical challenges, finite element method is used to compute viscous fluid
flow. A consensus on the cause of numerical problems has been reached; however, general …
flow. A consensus on the cause of numerical problems has been reached; however, general …
[PDF][PDF] Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics
MA Olshanskii, LG Rebholz - Electronic Transactions on Numerical …, 2011 - emis.icm.edu.pl
The paper demonstrates that enhanced stability properties of some finite element methods
on barycenter refined meshes enables efficient numerical treatment of problems involving …
on barycenter refined meshes enables efficient numerical treatment of problems involving …
Efficient, stable, and reliable solvers for the steady incompressible Navier-Stokes equations in computational hemodynamics
AF Viguerie - 2018 - search.proquest.com
In recent years, improvements in medical imaging and image-reconstruction algorithms
have led to increased interest in the use of Computational Fluid Dynamics (CFD) as a …
have led to increased interest in the use of Computational Fluid Dynamics (CFD) as a …
[PDF][PDF] The interior error of van Cittert deconvolution of differential filters is optimal
W Layton - Appl. Math. E-Notes, 2012 - mathematics.pitt.edu
We reconsider the error in van Cittert deconvolution. We show that without any extra
boundary conditions on higher derivatives of u, away from the boundary the error in van …
boundary conditions on higher derivatives of u, away from the boundary the error in van …
[PDF][PDF] An accurate finite element method for the numerical solution of isothermal and incompressible flow of viscous fluid, part I: computational analysis
BE Abali - CoRR, 2017 - researchgate.net
Despite its numerical challenges, finite element method is used to compute viscous fluid
flow. A consensus on the cause of numerical problems has been reached; however, general …
flow. A consensus on the cause of numerical problems has been reached; however, general …