TY - JOUR
T1 - A new approach to the deformation fields method for solving complex flows using integral constitutive equations
AU - Hulsen, M.A.
AU - Peters, E.A.J.F.
AU - Brule, van den, B.H.A.A.
PY - 2001
Y1 - 2001
N2 - In this paper, we present a newapproach to the deformation fields method that has recently been introduced to solveintegral type models in complex flows (E.A.J.F. Peters, M.A. Hulsen, B.H.A.A. van den Brule, J. Non-NewtonianFluid Mechanics 89 (2000) 209 -228). The new approach is based on a change of the reference time of the fields froman absolute time to a time relative to the current time. This basically removes most, if not all, stability and accuracyproblems that exist in the original method compared to using differential models. Also the new implementation ismuch more flexible with respect to the time integral discretisation, opening the way to adaptive refinement. The newimplementation has been tested for two problems: the standard 2:1 benchmark of a the flow around a sphere usin! ga UCM model and the flow around a sphere in a different geometry using a PSM model.
AB - In this paper, we present a newapproach to the deformation fields method that has recently been introduced to solveintegral type models in complex flows (E.A.J.F. Peters, M.A. Hulsen, B.H.A.A. van den Brule, J. Non-NewtonianFluid Mechanics 89 (2000) 209 -228). The new approach is based on a change of the reference time of the fields froman absolute time to a time relative to the current time. This basically removes most, if not all, stability and accuracyproblems that exist in the original method compared to using differential models. Also the new implementation ismuch more flexible with respect to the time integral discretisation, opening the way to adaptive refinement. The newimplementation has been tested for two problems: the standard 2:1 benchmark of a the flow around a sphere usin! ga UCM model and the flow around a sphere in a different geometry using a PSM model.
U2 - 10.1016/S0377-0257(01)00110-0
DO - 10.1016/S0377-0257(01)00110-0
M3 - Article
SN - 0377-0257
VL - 98
SP - 201
EP - 221
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
IS - 2-3
ER -