TY - GEN
T1 - Accurate implicit solution of 3-D Navier-Stokesequations
AU - Gulcat, Ulgen
AU - Aslan, A. Rustem
AU - Unal, Vildan U.
PY - 2000
Y1 - 2000
N2 - A second order accurate, both in time and in space, implicit Finite Element scheme is developed and implemented. A modified version of the two step fractional method is used in time discretization of the momentum equation. At each time step, the momentum equation is solved only once. The space is discretized with brick elements. For high Reynolds number flows, a forth order artificial viscosity is used for stabilizing the solver. The pressure at each time level is obtained via an auxiliary scalar potential which satisfies the Poisson's equation. Lid-driven flow in a cubic cavity with a Reynolds number of 1000 is selected as a test case to demonstrate the accuracy and the robustness of the method used. Time accurate solutions are obtained with time steps 5 times the step size of an stable explicit method.
AB - A second order accurate, both in time and in space, implicit Finite Element scheme is developed and implemented. A modified version of the two step fractional method is used in time discretization of the momentum equation. At each time step, the momentum equation is solved only once. The space is discretized with brick elements. For high Reynolds number flows, a forth order artificial viscosity is used for stabilizing the solver. The pressure at each time level is obtained via an auxiliary scalar potential which satisfies the Poisson's equation. Lid-driven flow in a cubic cavity with a Reynolds number of 1000 is selected as a test case to demonstrate the accuracy and the robustness of the method used. Time accurate solutions are obtained with time steps 5 times the step size of an stable explicit method.
KW - Distributed paralel computing
KW - Impcompressible 3-D Navier-Stokes
KW - Implicit methods
UR - http://www.scopus.com/inward/record.url?scp=84893375203&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84893375203
SN - 8489925704
SN - 9788489925700
T3 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Y2 - 11 September 2000 through 14 September 2000
ER -