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The numerical solution of partial differential equations presents inherent challenges in achieving efficient parallelism due to dependencies between grid nodes. This article introduces a novel synchronization mechanism that aggressively tests thread dependencies, enabling immediate computation scheduling upon resolution. We conduct a comparative analysis with classical level-set synchronization within the Strongly Implicit Procedure (SIP) framework and apply it to a real-world fluid dynamics problem. Experimental results demonstrate a significant speedup, showing up to 23% better performance than previous level-set implementations.

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Element Scheduling for GPU-Accelerated Finite-Volumes Computations

  • 会议论文

  • 发表日期：

    2025年

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  • Franco Seveso,
  • Ernesto Dufrechou,
  • Pablo Ezzatti,
  • Gabriel Usera

摘要

The numerical solution of partial differential equations presents inherent challenges in achieving efficient parallelism due to dependencies between grid nodes. This article introduces a novel synchronization mechanism that aggressively tests thread dependencies, enabling immediate computation scheduling upon resolution. We conduct a comparative analysis with classical level-set synchronization within the Strongly Implicit Procedure (SIP) framework and apply it to a real-world fluid dynamics problem. Experimental results demonstrate a significant speedup, showing up to 23% better performance than previous level-set implementations.