A Parallel Solver for the Time-Periodic Navier-Stokes Equations

被引:3
作者
Arbenz, Peter [1 ]
Hupp, Daniel [1 ]
Obrist, Dominik
机构
[1] ETH, Dept Comp Sci, Zurich, Switzerland
来源
PARALLEL PROCESSING AND APPLIED MATHEMATICS (PPAM 2013), PT II | 2014年 / 8385卷
关键词
Time-periodic Navier-Stokes; Space-time parallelism; Nonlinear systems of equations; Newton iteration; GMRES;
D O I
10.1007/978-3-642-55195-6_27
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate parallel algorithms for the solution of the Navier-Stokes equations in space-time. For periodic solutions, the discretized problem can be written as a large non-linear system of equations. This system of equations is solved by a Newton iteration. The Newton correction is computed using a preconditioned GMRES solver. The parallel performance of the algorithm is illustrated.
引用
收藏
页码:291 / 300
页数:10
相关论文
共 11 条
  • [1] [Anonymous], 1997, CTR TURBULENCE RES A
  • [2] Arbenz P, 2012, LECT NOTES COMPUT SC, V7204, P302, DOI 10.1007/978-3-642-31500-8_31
  • [3] A PARALLEL SPACE-TIME ALGORITHM
    Christlieb, Andrew J.
    Haynes, Ronald D.
    Ong, Benjamin W.
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (05) : C233 - C248
  • [4] High-order accurate solution of the incompressible Navier-Stokes equations on massively parallel computers
    Henniger, R.
    Obrist, D.
    Kleiser, L.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (10) : 3543 - 3572
  • [5] An overview of the Trilinos Project
    Heroux, MA
    Bartlett, RA
    Howle, VE
    Hoekstra, RJ
    Hu, JJ
    Kolda, TG
    Lehoucq, RB
    Long, KR
    Pawlowski, RP
    Phipps, ET
    Salinger, AG
    Thornquist, HK
    Tuminaro, RS
    Willenbring, JM
    Williams, A
    Stanley, KS
    [J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2005, 31 (03): : 397 - 423
  • [6] Hupp D., 2013, THESIS ETH ZURICH
  • [7] LeVeque RJ, 2007, OTHER TITL APPL MATH, V98, P1, DOI 10.1137/1.9780898717839
  • [8] A "parareal" in time discretization of PDE's
    Lions, JL
    Maday, Y
    Turinici, G
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 332 (07): : 661 - 668
  • [9] Obrist D., 2010, PAMM, V10, P567
  • [10] Globalization techniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations
    Pawlowski, Roger R.
    Shadid, John N.
    Simonis, Joseph P.
    Walker, Homer F.
    [J]. SIAM REVIEW, 2006, 48 (04) : 700 - 721