TY - JOUR
T1 - Preconditioned methods for solving the incompressible and low speed compressible equations
AU - Turkel, Eli
N1 - Funding Information:
* Research was supported by the National Aeronautics and Space Administration under NASA Contracts NASl-17070 and NASl-18107 while the author was in residence at ICASE, NASA Langley Research Center.
PY - 1987/10
Y1 - 1987/10
N2 - Acceleration methods are presented for solving the steady state incompressible equations. These systems are preconditioned by introducing artificial time derivatives which allow for a faster convergence to the steady state. We also consider the compressible equations in conservation form with slow flow. Two arbitrary functions α and β are introduced in the general preconditioning. An analysis of this system is presented and an optimal value for β is determined given a constant α. It is further sown that the resultant incompressible equations form a symmetric hyperbolic system and so are well posed. Several generalizations to the compressible equations are presented which extend previous results.
AB - Acceleration methods are presented for solving the steady state incompressible equations. These systems are preconditioned by introducing artificial time derivatives which allow for a faster convergence to the steady state. We also consider the compressible equations in conservation form with slow flow. Two arbitrary functions α and β are introduced in the general preconditioning. An analysis of this system is presented and an optimal value for β is determined given a constant α. It is further sown that the resultant incompressible equations form a symmetric hyperbolic system and so are well posed. Several generalizations to the compressible equations are presented which extend previous results.
UR - http://www.scopus.com/inward/record.url?scp=45949116154&partnerID=8YFLogxK
U2 - 10.1016/0021-9991(87)90084-2
DO - 10.1016/0021-9991(87)90084-2
M3 - מאמר
AN - SCOPUS:45949116154
VL - 72
SP - 277
EP - 298
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -