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A stabilized multid...
A stabilized multidomain partition of unity approach to solving incompressible viscous flow
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- Balmus, Maximilian (författare)
- Kings Coll London, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, Kings Hlth Partners, London SE1 7EH, England.
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- Hoffman, Johan, 1974- (författare)
- KTH,Beräkningsvetenskap och beräkningsteknik (CST)
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- Massing, Andre (författare)
- Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway.
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- Nordsletten, David A. (författare)
- Kings Coll London, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, Kings Hlth Partners, London SE1 7EH, England.;Univ Michigan, Dept Biomed Engn & Cardiac Surg, NCRC B20,2800 Plymouth Rd, Ann Arbor, MI 48100 USA.
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Kings Coll London, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, Kings Hlth Partners, London SE1 7EH, England Beräkningsvetenskap och beräkningsteknik (CST) (creator_code:org_t)
- Elsevier BV, 2022
- 2022
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825 .- 1879-2138. ; 392
- Relaterad länk:
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https://doi.org/10.1...
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https://doi.org/10.1...
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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
- In this work we propose a new stabilized approach for solving the incompressible Navier-Stokes equations on fixed overlapping grids. This new approach is based on the partition of unity finite element method, which defines the solution fields as weighted sums of local fields, supported by the different grids. Here, the discrete weak formulation of the problem is re-set in cG(1)cG(1) stabilized form, which has the dual benefit of lowering grid resolution requirements for convection dominated flows and allowing for the use of velocity and pressure discretizations which do not satisfy the inf-sup condition. Additionally, we provide an outline of our implementation within an existing distributed parallel application and identify four key options to improve the code efficiency namely: the use of cache to store mapped quadrature points and basis function gradients, the intersection volume splitting algorithm, the use of lower order quadrature schemes, and tuning the partition weight associated with the interface elements. The new method is shown to have comparable accuracy to the single mesh boundary-fitted version of the same stabilized solver based on three transient flow tests including both 2D and 3D settings, as well as low and moderate Reynolds number flow conditions. Moreover, we demonstrate how the four implementation options have a synergistic effect lowering the residual assembly time by an order of magnitude compared to a naive implementation, and showing good load balancing properties.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Finite element methods
- Fluid-structure interaction
- Overlapping domains
- Partition of unity
- Stabilized flow
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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