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A next-generation d...
A next-generation discontinuous Galerkin fluid dynamics solver with application to high-resolution lung airflow simulations
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- Kronbichler, Martin (författare)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys,Tillämpad beräkningsvetenskap
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Fehn, Niklas (författare)
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Munch, Peter (författare)
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Bergbauer, Maximilian (författare)
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Wichmann, Karl-Robert (författare)
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Geitner, Carolin (författare)
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Allalen, Momme (författare)
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Schulz, Martin (författare)
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Wall, Wolfgang A. (författare)
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(creator_code:org_t)
- 2021-11-13
- 2021
- Engelska.
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Ingår i: SC21. - St. Louis, MO, USA : Association for Computing Machinery (ACM). - 9781450384421 ; , s. 1-15
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We present a novel, highly scalable and optimized solver for turbulent flows based on high-order discontinuous Galerkin discretizations of the incompressible Navier-Stokes equations aimed to minimize time-to-solution. The solver uses explicit-implicit time integration with variable step size. The central algorithmic component is the matrix-free evaluation of discretized finite element operators. The node-level performance is optimized by sum-factorization kernels for tensor-product elements with unique algorithmic choices that reduce the number of arithmetic operations, improve cache usage, and vectorize the arithmetic work across elements and faces. These ingredients are integrated into a framework scalable to the massive parallelism of supercomputers by the use of optimal-complexity linear solvers, such as mixed-precision, hybrid geometric-polynomial-algebraic multigrid solvers for the pressure Poisson problem. The application problem under consideration are fluid dynamical simulations of the human respiratory system under mechanical ventilation conditions, using unstructured/structured adaptively refined meshes for geometrically complex domains typical of biomedical engineering.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- high-order discontinuous Galerkin
- matrix-free algorithms
- multigrid
- time-to-solution
- Scientific Computing
- Beräkningsvetenskap
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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SC21
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