Lagrangian Finite-Element Method for the Simulation of K-BKZ Fluids with Third Order Accuracy
Publication: Research - peer-review › Journal article – Annual report year: 2009
Standard
Lagrangian Finite-Element Method for the Simulation of K-BKZ Fluids with Third Order Accuracy. / Marin, José Manuel Román; Rasmussen, Henrik K.
In: Journal of Non-Newtonian Fluid Mechanics, Vol. 156, No. 3, 2009, p. 177-188.Publication: Research - peer-review › Journal article – Annual report year: 2009
Harvard
APA
CBE
MLA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Lagrangian Finite-Element Method for the Simulation of K-BKZ Fluids with Third Order Accuracy
AU - Marin,José Manuel Román
AU - Rasmussen,Henrik K.
PY - 2009
Y1 - 2009
N2 - A new finite element scheme for the numerical simulation of three-dimensional time-dependent flow of viscoelastic fluids is presented. The viscoelastic fluids are of the K-BKZ integral type and the method is based on a Lagrangian kinematics description of the fluid flow. The spatial coordinate system attached to the particles is discretized by ten-node quadratic tetrahedral elements using Cartesian coordinates and the pressure by linear interpolation inside these elements. The spatial discretization of the governing equations follows the mixed Galerkin finite element method. The time integral is discretized by a quadratic interpolation in time. The convergence of the method in time and space was demonstrated on the free surface problem of a filament stretched between two plates, considering the axisymmetric case as well as the growth of non-axisymmetric disturbances on the free surface. The scheme converges with respect to discretization of the spatial and time dimensions, both with third order.
AB - A new finite element scheme for the numerical simulation of three-dimensional time-dependent flow of viscoelastic fluids is presented. The viscoelastic fluids are of the K-BKZ integral type and the method is based on a Lagrangian kinematics description of the fluid flow. The spatial coordinate system attached to the particles is discretized by ten-node quadratic tetrahedral elements using Cartesian coordinates and the pressure by linear interpolation inside these elements. The spatial discretization of the governing equations follows the mixed Galerkin finite element method. The time integral is discretized by a quadratic interpolation in time. The convergence of the method in time and space was demonstrated on the free surface problem of a filament stretched between two plates, considering the axisymmetric case as well as the growth of non-axisymmetric disturbances on the free surface. The scheme converges with respect to discretization of the spatial and time dimensions, both with third order.
KW - Three-dimensional
KW - K-BKZ
KW - Viscoelastic
KW - Finite Element
KW - Endplate instability
KW - Lagrangian
U2 - 10.1016/j.jnnfm.2008.08.005
DO - 10.1016/j.jnnfm.2008.08.005
M3 - Journal article
VL - 156
SP - 177
EP - 188
JO - Journal of Non-Newtonian Fluid Mechanics
T2 - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
SN - 0377-0257
IS - 3
ER -