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@PHDTHESIS{Klimach:670169,
      author       = {Klimach, Harald},
      othercontributors = {Roller, Sabine P. and Behr, Marek and Resch, Michael},
      title        = {{P}arallel multi-scale simulations with octrees and coupled
                      applications; 1st edition},
      volume       = {1},
      school       = {Rheinisch-Westfälische Technische Hochschule Aachen},
      type         = {Dissertation},
      address      = {Siegen},
      publisher    = {universi - Universitätsverlag Siegen},
      reportid     = {RWTH-2016-07385},
      isbn         = {978-3-936533-82-8},
      series       = {Simulation Techniques in Siegen},
      pages        = {1 Online-Ressource (xv, 185 Seiten) : Illustrationen,
                      Diagramme},
      year         = {2016},
      note         = {Auch veröffentlicht auf dem Publikationsserver der RWTH
                      Aachen University; Dissertation, Rheinisch-Westfälische
                      Technische Hochschule Aachen, 2016},
      abstract     = {Physical simulations often require the consideration of
                      many phenomena and scales. For example in aeroacoustic
                      problems, both, the flow generatingthe noise and the sound
                      wave propagation needs to be considered. This work
                      investigates numerical approaches to such problems on large
                      distributed and parallel computing systems. The coupling
                      framework KOP is parallelized as far as possible and to
                      overcome fundamental scalability limits a new framework APES
                      is developed. Both implementations utilize high-order
                      discretizations, as these allow for accurate simulations
                      with less degrees of freedoms than lower order methods. This
                      property of high-order methodsis an important feature for
                      modern supercomputing systems, as memory to represent
                      degrees of freedom in a simulation is a scarce resource. The
                      presented methods enable the transient simulation of
                      multi-scale setups but detailed resolutions still require
                      large amounts of computational resources. A focus is put on
                      the efficient utilization of modern computing systems to
                      address this need. Besides the scalability of the
                      implementations, the importance of single core optimization
                      and vectorization is illustrated. KOP uses discrete points
                      to realize the coupling and allows for the interaction
                      between domains with differing discretizations and solved
                      equation systems. Arbitrary mesh configurations are
                      supported and both, structuredand unstructured mesh solvers
                      are available in the framework. In both framworksexplicit
                      time integration methods are deployed to resolve the
                      timedependent simulations. The coupling allows for a varying
                      time step widthover the participating domains by a
                      sub-cycling method. Various conservationlaws can be solved
                      by the presented frameworks ranging from Maxwell’s
                      equations and linearized Euler equations to full
                      compressible Navier-Stokesequations. A fully distributed
                      coupling approach is developed that allows for coupling of
                      those in a large-scale simulation to solve, for example,
                      aeroacousticproblems.APES enables high-order discretizations
                      in the spectral regime. It involvesa fully scalable
                      toolchain for mesh-based simulations featuring a
                      meshgeneration and a post-processing tool to support the
                      solvers. The common foundation of these tools is an Octree
                      representation for the mesh, andthis work specifically
                      covers the generation of high-order geometry
                      approximationsin the developed mesh generator Seeder. This
                      robust mechanismworks for arbitrarily complex surfaces and
                      offers a practical way to tackleengineering tasks with
                      spectral element discretizations.},
      cin          = {056500 / 416010},
      ddc          = {620},
      cid          = {$I:(DE-82)056500_20140620$ / $I:(DE-82)416010_20140620$},
      typ          = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
      urn          = {urn:nbn:de:hbz:82-rwth-2016-073855},
      url          = {https://publications.rwth-aachen.de/record/670169},
}