Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers

Atanas Atanasov; Benjamin Uekermann; Carlos Pachajoa Mejía; Hans-Joachim Bungartz; Philipp Neumann

doi:10.3390/computation4040038

Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers

Atanas Atanasov, Benjamin Uekermann, Carlos Pachajoa Mejía, Hans-Joachim Bungartz, Philipp Neumann

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We present an Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier–Stokes (LBNS) flow simulations. This allows to locally exploit the computational features of both fluid flow solver approaches to the fullest extent and yields enhanced control to match the LB and NS degrees of freedom within the LBNS overlap layer. Designed for parallel Schwarz coupling, the Anderson acceleration allows for the simultaneous execution of both Lattice Boltzmann and Navier–Stokes solver. We detail our coupling methodology, validate it, and study convergence and accuracy of the Anderson accelerated coupling, considering three steady-state scenarios: plane channel flow, flow around a sphere and channel flow across a porous structure. We find that the Anderson accelerated coupling yields a speed-up (in terms of iteration steps) of up to 40% in the considered scenarios, compared to strictly sequential Schwarz coupling.

Original language	English (US)
Pages (from-to)	38
Journal	Computation
Volume	4
Issue number	4
DOIs	https://doi.org/10.3390/computation4040038
State	Published - Oct 17 2016
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): UK-C0020
Acknowledgements: This work was partially supported by the Award No. UK-C0020 made by King Abdullah University of Science and Technology (KAUST), and by the priority program “1648 Software for Exascale Computing” of the German Research Foundation (DFG). The financial support of the Institute for Advanced Study (IAS) of the Technical University of Munich is acknlowedged. We further thank the Munich Centre of Advanced Computing (MAC) for providing computational resources.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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title = "Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers",

abstract = "We present an Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier–Stokes (LBNS) flow simulations. This allows to locally exploit the computational features of both fluid flow solver approaches to the fullest extent and yields enhanced control to match the LB and NS degrees of freedom within the LBNS overlap layer. Designed for parallel Schwarz coupling, the Anderson acceleration allows for the simultaneous execution of both Lattice Boltzmann and Navier–Stokes solver. We detail our coupling methodology, validate it, and study convergence and accuracy of the Anderson accelerated coupling, considering three steady-state scenarios: plane channel flow, flow around a sphere and channel flow across a porous structure. We find that the Anderson accelerated coupling yields a speed-up (in terms of iteration steps) of up to 40% in the considered scenarios, compared to strictly sequential Schwarz coupling.",

author = "Atanas Atanasov and Benjamin Uekermann and {Pachajoa Mej{\'i}a}, Carlos and Hans-Joachim Bungartz and Philipp Neumann",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): UK-C0020 Acknowledgements: This work was partially supported by the Award No. UK-C0020 made by King Abdullah University of Science and Technology (KAUST), and by the priority program “1648 Software for Exascale Computing” of the German Research Foundation (DFG). The financial support of the Institute for Advanced Study (IAS) of the Technical University of Munich is acknlowedged. We further thank the Munich Centre of Advanced Computing (MAC) for providing computational resources. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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AU - Bungartz, Hans-Joachim

AU - Neumann, Philipp

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): UK-C0020 Acknowledgements: This work was partially supported by the Award No. UK-C0020 made by King Abdullah University of Science and Technology (KAUST), and by the priority program “1648 Software for Exascale Computing” of the German Research Foundation (DFG). The financial support of the Institute for Advanced Study (IAS) of the Technical University of Munich is acknlowedged. We further thank the Munich Centre of Advanced Computing (MAC) for providing computational resources. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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N2 - We present an Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier–Stokes (LBNS) flow simulations. This allows to locally exploit the computational features of both fluid flow solver approaches to the fullest extent and yields enhanced control to match the LB and NS degrees of freedom within the LBNS overlap layer. Designed for parallel Schwarz coupling, the Anderson acceleration allows for the simultaneous execution of both Lattice Boltzmann and Navier–Stokes solver. We detail our coupling methodology, validate it, and study convergence and accuracy of the Anderson accelerated coupling, considering three steady-state scenarios: plane channel flow, flow around a sphere and channel flow across a porous structure. We find that the Anderson accelerated coupling yields a speed-up (in terms of iteration steps) of up to 40% in the considered scenarios, compared to strictly sequential Schwarz coupling.

AB - We present an Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier–Stokes (LBNS) flow simulations. This allows to locally exploit the computational features of both fluid flow solver approaches to the fullest extent and yields enhanced control to match the LB and NS degrees of freedom within the LBNS overlap layer. Designed for parallel Schwarz coupling, the Anderson acceleration allows for the simultaneous execution of both Lattice Boltzmann and Navier–Stokes solver. We detail our coupling methodology, validate it, and study convergence and accuracy of the Anderson accelerated coupling, considering three steady-state scenarios: plane channel flow, flow around a sphere and channel flow across a porous structure. We find that the Anderson accelerated coupling yields a speed-up (in terms of iteration steps) of up to 40% in the considered scenarios, compared to strictly sequential Schwarz coupling.

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Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers

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