Accuracy and scalability of asynchronous compressible flow solver for transitional flows

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Hauptverfasser: Arumugam, Aswin Kumar, Goswami, Shubham Kumar, Vadlamani, Nagabhushana Rao, Aditya, Konduri
Format: Preprint
Veröffentlicht: 2025
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author Arumugam, Aswin Kumar
Goswami, Shubham Kumar
Vadlamani, Nagabhushana Rao
Aditya, Konduri
author_facet Arumugam, Aswin Kumar
Goswami, Shubham Kumar
Vadlamani, Nagabhushana Rao
Aditya, Konduri
contents To overcome the communication bottlenecks observed in state-of-the-art parallel time-dependent flow solvers at extreme scales, an asynchronous computing approach that relaxes communication and synchronization at a mathematical level was previously developed. This approach preserves high-order accuracy of computations near processing element boundaries using asynchrony-tolerant (AT) schemes while significantly improving the scalability. The numerical properties of the AT schemes were studied based on simple linear and nonlinear partial differential equations (PDEs) in previous works. Allowing asynchrony in numerical schemes can minimize communication overheads in a parallel setting in two ways: one that avoids communication over a few predetermined time steps, and the other that initiates communications without enforcing synchronization. In this study, the asynchronous algorithms are incorporated into the high-order compressible flow solver COMP-SQUARE, which solves practically relevant flow problems in complex geometries in a multi-block framework. The numerical efficacy and scalability of the two asynchronous algorithms are demonstrated for three test cases: isentropic advection of a vortex, the Taylor-Green vortex, and a much more sensitive case of the flow transitioning on a NACA0012 airfoil. Speed-ups of up to $4\times$ with respect to the baseline synchronous algorithm are observed in the scaling experiments performed on up to 18,432 cores. The results of this study demonstrate the applicability of AT schemes on established CFD solvers to improve scalability at extreme scales as the scientific computing environment moves to the exascale era.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03027
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Accuracy and scalability of asynchronous compressible flow solver for transitional flows
Arumugam, Aswin Kumar
Goswami, Shubham Kumar
Vadlamani, Nagabhushana Rao
Aditya, Konduri
Computational Physics
Fluid Dynamics
To overcome the communication bottlenecks observed in state-of-the-art parallel time-dependent flow solvers at extreme scales, an asynchronous computing approach that relaxes communication and synchronization at a mathematical level was previously developed. This approach preserves high-order accuracy of computations near processing element boundaries using asynchrony-tolerant (AT) schemes while significantly improving the scalability. The numerical properties of the AT schemes were studied based on simple linear and nonlinear partial differential equations (PDEs) in previous works. Allowing asynchrony in numerical schemes can minimize communication overheads in a parallel setting in two ways: one that avoids communication over a few predetermined time steps, and the other that initiates communications without enforcing synchronization. In this study, the asynchronous algorithms are incorporated into the high-order compressible flow solver COMP-SQUARE, which solves practically relevant flow problems in complex geometries in a multi-block framework. The numerical efficacy and scalability of the two asynchronous algorithms are demonstrated for three test cases: isentropic advection of a vortex, the Taylor-Green vortex, and a much more sensitive case of the flow transitioning on a NACA0012 airfoil. Speed-ups of up to $4\times$ with respect to the baseline synchronous algorithm are observed in the scaling experiments performed on up to 18,432 cores. The results of this study demonstrate the applicability of AT schemes on established CFD solvers to improve scalability at extreme scales as the scientific computing environment moves to the exascale era.
title Accuracy and scalability of asynchronous compressible flow solver for transitional flows
topic Computational Physics
Fluid Dynamics
url https://arxiv.org/abs/2506.03027