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@INPROCEEDINGS{Ouardghi:1035080,
      author       = {Ouardghi, Abdelouahed and Speck, Robert},
      title        = {{A} {P}arallel-in-{T}ime {S}pectral {D}eferred {C}orrection
                      {F}inite {E}lement {M}ethod for {U}nsteady {I}ncompressible
                      {V}iscous {F}low {P}roblems},
      reportid     = {FZJ-2025-00176},
      year         = {2024},
      abstract     = {Simulating unsteady viscous flows by numerically solving
                      the time-dependent Navier-Stokes equations is a
                      computationally expensive challenge. However, while spatial
                      parallelization can reduce computational costs, temporal
                      integration of time-sensitive applications often requires a
                      very large number of time steps. Therefore, more parallelism
                      in numerical time-stepping schemes for further speedup is
                      required. The present work proposes and analyzes a
                      parallel-in-time spectral deferred correction method for the
                      solution of the unsteady incompressible viscous flow
                      problems governed by parabolic–elliptic PDEs. The temporal
                      discretization employs the Spectral Deferred Correction
                      (SDC) method in parallel, which iteratively computes a
                      higher-order collocation solution by conducting a sequence
                      of correction sweeps through the utilization of a low-order
                      time-stepping technique. A standard finite element method is
                      considered for spatial discretization due to its ability to
                      accurately capture complex geometries and boundary
                      conditions. The goal of this work is to illustrate and
                      analyze the properties of the parallel-in-time method
                      through numerical experiments including flows past a
                      cylinder (using the standard DFG 2D-3 benchmark) which is
                      selected as an unsteady flow example.},
      month         = {Mar},
      date          = {2024-03-05},
      organization  = {SIAM Conference on Parallel Processing
                       for Scientific Computing, Baltimore
                       (USA), 5 Mar 2024 - 8 Mar 2024},
      subtyp        = {After Call},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511) / StroemungsRaum - Neuartige
                      Exascale-Architekturen mit heterogenen Hardwarekomponenten
                      für Strömungssimulationen (BMBF-16ME0708)},
      pid          = {G:(DE-HGF)POF4-5112 / G:(DE-Juel1)BMBF-16ME0708},
      typ          = {PUB:(DE-HGF)6},
      doi          = {10.34734/FZJ-2025-00176},
      url          = {https://juser.fz-juelich.de/record/1035080},
}