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

Computation

Atanas Atanasov¹  Benjamin Uekermann¹  Hans-Joachim Bungartz¹  Carlos A. Pachajoa Mejía¹  Philipp Neumann¹ 

[1] Department of Informatics, Technical University of Munich, Boltzmannstraße 3, 85748 Garching, Germany;

关键词: Anderson acceleration;    Lattice Boltzmann;    Navier–Stokes;    parallel coupling;   

DOI  :  10.3390/computation4040038

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown