A high-order accurate iterative Poisson solver for x3d2

This poster presents the development of an iterative Poisson solver for the Xcompact3d framework. The development of x3d2, the next generation of the Xcompact3d solver targeting massively parallel multicore and GPU-based architectures, has included implementing distributed tridiagonal solvers. These distributed tridiagonal solvers enable a 3-D parallel decomposition of the bulk of the computation, exposing greater opportunity for parallelism than the currently used 2-D decomposition. The present FFT-based spectral Poisson solver however prevents this. In this work an iterative Poisson solver is developed for the high-order schemes employed by Xcompact3d/x3d2 and is used to demonstrate solution of the Navier-Stokes equations using a 3-D parallel decomposition for the first time in the Xcompact3d framework.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-14
DOI
https://doi.org/10.5281/zenodo.15633111
Primary Topic
Parallel Computing and Optimization Techniques
Type
article
Field-Weighted Citation Impact
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article

A high-order accurate iterative Poisson solver for x3d2

Zenodo (CERN European Organization for Nuclear Research)
Parallel Computing and Optimization Techniques
article

A high-order accurate iterative Poisson solver for x3d2

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Abstract

This poster presents the development of an iterative Poisson solver for the Xcompact3d framework. The development of x3d2, the next generation of the Xcompact3d solver targeting massively parallel multicore and GPU-based architectures, has included implementing distributed tridiagonal solvers. These distributed tridiagonal solvers enable a 3-D parallel decomposition of the bulk of the computation, exposing greater opportunity for parallelism than the currently used 2-D decomposition. The present FFT-based spectral Poisson solver however prevents this. In this work an iterative Poisson solver is developed for the high-order schemes employed by Xcompact3d/x3d2 and is used to demonstrate solution of the Navier-Stokes equations using a 3-D parallel decomposition for the first time in the Xcompact3d framework.

Zenodo (CERN European Organization for Nuclear Research)
Science and Technology Facilities Council (GB), El Paso Community College (US), Imperial College London (GB), University of Edinburgh (GB)
Industry, innovation and infrastructure
Openalex Percentile: Top 48%
Parallel Computing and Optimization Techniques
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