TY - CONF
T1 - A new implicit algorithm with multigrid for unsteady incompressible flow calculations
AU - Belov, Andrey
AU - Martinelli, Luigi
AU - Jameson, Antony
N1 - Funding Information:
We are grateful to Dr. Henderson for providing us with his data. Support for this work was provided through by the Office of Naval Research through Grant N00014-93-1-0079, under the supervision of Dr. E.P. Rood.
Publisher Copyright:
© 1995, by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
PY - 1995
Y1 - 1995
N2 - We present a new fully-implicit algorithm for unsteady incompressible flow calculations for both the Euler and Navier-Stokes equations. The new method couples the artificial compressibility approach with an implicit A-stable discretization of the unsteady terms in order to advance the solution in a time-accurate manner with no stability limitations on the time step. A pseudotransient steady state problem is solved at each time step to provide a direct coupling between the velocity and pressure fields) and to satisfy the divergence-free constraint. The present algorithm solves the pseudotransient problem by using the highly efficient multigrid time stepping technique, originally developed by Jameson [I] for compressible flow calculations. Both viscous and inviscid test problems are presented. An inviscid two-dimensional flow over an oscillating cylinder is used to validate the method by comparison with analytic results. The mean quantities of the unsteady viscous flow over a circular cylinder for Re ≤ 200 are computed and found to be in good agreement with the computational and experimental data obtained by other authors. Results for the unsteady viscous flow over a NACAOOl2 airfoil at 20° angle of attack arc also presented, and domain truncation and time resolution effects are discussed.
AB - We present a new fully-implicit algorithm for unsteady incompressible flow calculations for both the Euler and Navier-Stokes equations. The new method couples the artificial compressibility approach with an implicit A-stable discretization of the unsteady terms in order to advance the solution in a time-accurate manner with no stability limitations on the time step. A pseudotransient steady state problem is solved at each time step to provide a direct coupling between the velocity and pressure fields) and to satisfy the divergence-free constraint. The present algorithm solves the pseudotransient problem by using the highly efficient multigrid time stepping technique, originally developed by Jameson [I] for compressible flow calculations. Both viscous and inviscid test problems are presented. An inviscid two-dimensional flow over an oscillating cylinder is used to validate the method by comparison with analytic results. The mean quantities of the unsteady viscous flow over a circular cylinder for Re ≤ 200 are computed and found to be in good agreement with the computational and experimental data obtained by other authors. Results for the unsteady viscous flow over a NACAOOl2 airfoil at 20° angle of attack arc also presented, and domain truncation and time resolution effects are discussed.
UR - http://www.scopus.com/inward/record.url?scp=84963610915&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84963610915&partnerID=8YFLogxK
U2 - 10.2514/6.1995-49
DO - 10.2514/6.1995-49
M3 - Paper
AN - SCOPUS:84963610915
T2 - 33rd Aerospace Sciences Meeting and Exhibit, 1995
Y2 - 9 January 1995 through 12 January 1995
ER -