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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 (author)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys,Tillämpad beräkningsvetenskap
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Fehn, Niklas (author)
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Munch, Peter (author)
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Bergbauer, Maximilian (author)
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Wichmann, Karl-Robert (author)
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Geitner, Carolin (author)
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Allalen, Momme (author)
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Schulz, Martin (author)
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Wall, Wolfgang A. (author)
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(creator_code:org_t)
- 2021-11-13
- 2021
- English.
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In: SC21. - St. Louis, MO, USA : Association for Computing Machinery (ACM). - 9781450384421 ; , s. 1-15
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- high-order discontinuous Galerkin
- matrix-free algorithms
- multigrid
- time-to-solution
- Scientific Computing
- Beräkningsvetenskap
Publication and Content Type
- ref (subject category)
- kon (subject category)
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