Efficient single-precision simulations of nematohydrodynamics

[2503.06610] Efficient single-precision simulations of nematohydrodynamics Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Fluid Dynamics arXiv:2503.06610 (physics) [Submitted on 9 Mar 2025] Title: Efficient single-precision simulations of nematohydrodynamics Authors: Guilherme N. C. Amaral , Mahmoud Sedahmed , Margarida M. Telo da Gama , Rodrigo C. V. Coelho View a PDF of the paper titled Efficient single-precision simulations of nematohydrodynamics, by Guilherme N. C. Amaral and 3 other authors View PDF HTML (experimental) Abstract: Simulations of nematohydrodynamics on graphics processing units (GPUs) are typically performed using double precision, which ensures accuracy but significantly increases computational cost. However, consumer-grade GPUs are optimized for single-precision calculations, making double-precision simulations inefficient on widely available hardware. In this work, we demonstrate that single-precision simulations can achieve the same accuracy as double-precision methods while delivering a 27-fold increase in computational speed. To achieve this, we introduce two key improvements: (i) the shifted distribution function in the lattice Boltzmann method, which mitigates precision loss at low velocities, and (ii) the use of larger time steps in the finite-difference solver, which reduces numerical errors and improves overall accuracy. We find that, unlike in double precision, accuracy in single-precision simulations follows a non-monotonic trend with respect to the finite-difference time step, revealing an optimal regime for precise computations. To illustrate the effectiveness of our approach, we simulate the dynamics of single and multiple skyrmionic tubes in Poiseuille flow. Our results confirm that optimized single-precision simulations enable fast and accurate modeling of complex nematohydrodynamic systems, making large-scale simulations feasible on standard gaming GPUs. Subjects: Fluid Dynamics (physics.flu-dyn) ; Soft Condensed Matter (cond-mat.soft); Computational Physics (physics.comp-ph) Cite as: arXiv:2503.06610 [physics.flu-dyn] (or arXiv:2503.06610v1 [physics.flu-dyn] for this version) https://doi.org/10.48550/arXiv.2503.06610 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Physics of Fluids 37, 053103 (2025) Related DOI : https://doi.org/10.1063/5.0268106 Focus to learn more DOI(s) linking to related resources Submission history From: Rodrigo Coelho C. V. [ view email ] [v1] Sun, 9 Mar 2025 13:29:12 UTC (485 KB) Full-text links: Access Paper: View a PDF of the paper titled Efficient single-precision simulations of nematohydrodynamics, by Guilherme N. C. Amaral and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: physics.flu-dyn < prev | next > new | recent | 2025-03 Change to browse by: cond-mat cond-mat.soft physics physics.comp-ph References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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