Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
The concept of isogeometric analysis is proposed. Basis functions generated from NURBS
(Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For …
(Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For …
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
EA Fadlun, R Verzicco, P Orlandi… - Journal of computational …, 2000 - Elsevier
A second-order accurate, highly efficient method is developed for simulating unsteady three-
dimensional incompressible flows in complex geometries. This is achieved by using …
dimensional incompressible flows in complex geometries. This is achieved by using …
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 …
Numerical studies of flow over a circular cylinder at
AG Kravchenko, P Moin - Physics of fluids, 2000 - pubs.aip.org
Flow over a circular cylinder at Reynolds number 3900 is studied numerically using the
technique of large eddy simulation. The computations are carried out with a high-order …
technique of large eddy simulation. The computations are carried out with a high-order …
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …
element methods with respect to the cost of forming the matrix and residual vector, the cost …
Large eddy simulation of turbulent Taylor–Couette flow using isogeometric analysis and the residual-based variational multiscale method
Y Bazilevs, I Akkerman - Journal of Computational Physics, 2010 - Elsevier
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 …
Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2.5
A direct numerical simulation of a supersonic turbulent boundary layer has been performed.
We take advantage of a technique developed by Spalart for incompressible flow. In this …
We take advantage of a technique developed by Spalart for incompressible flow. In this …
Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
Y Bazilevs, C Michler, VM Calo, TJR Hughes - Computer Methods in …, 2010 - Elsevier
In this work, we combine (i) NURBS-based isogeometric analysis,(ii) residual-driven
turbulence modeling and iii) weak imposition of no-slip and no-penetration Dirichlet …
turbulence modeling and iii) weak imposition of no-slip and no-penetration Dirichlet …
Weak Dirichlet boundary conditions for wall-bounded turbulent flows
Y Bazilevs, C Michler, VM Calo, TJR Hughes - Computer Methods in …, 2007 - Elsevier
In turbulence applications, strongly imposed no-slip conditions often lead to inaccurate
mean flow quantities for coarse boundary-layer meshes. To circumvent this shortcoming …
mean flow quantities for coarse boundary-layer meshes. To circumvent this shortcoming …
The role of continuity in residual-based variational multiscale modeling of turbulence
This paper examines the role of continuity of the basis in the computation of turbulent flows.
We compare standard finite elements and non-uniform rational B-splines (NURBS) …
We compare standard finite elements and non-uniform rational B-splines (NURBS) …