Numerical solution of the two-phase incompressible Navier-Stokes equations using a GPU-accelerated meshless method

    Authors

    J. M. Kelly; E. A. Divo;A. J. Kassab

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    Meshless method; Navier-Stokes; GPU; Fluid flow; FINITE-ELEMENT-METHOD; FLUID-FLOWS; SPEED; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    This paper presents the development and implementation of a Meshless two-phase incompressible fluid flow solver and its acceleration using the graphics processing unit (GPU). The solver is formulated as a Localized Radial-Basis Function Collocation Meshless Method and the interface of the two-phase flow is captured using an implementation of the Level-Set method. The Compute Unified Device Architecture (CUDA) language for general-purpose computing on the CPU is used to accelerate the solver. Through the combined use of the LRC Meshless method and GPU acceleration this paper seeks to address the issue of robustness and speed in computational fluid dynamics. Traditional mesh-based methods require extensive and time-consuming user input for the generation and verification of a computational mesh. The LRC meshless method seeks to mitigate this issue through the use of a set of scattered points that need not meet stringent geometric requirements like those required by finite-volume and finite-element methods, such as connectivity and poligonalization. The method is shown to render very accurate and stable solutions and the implementation of the solver on the CPU is shown to accelerate the solution by several orders. (C) 2013 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    40

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    36

    Last Page

    49

    WOS Identifier

    WOS:000331853300003

    ISSN

    0955-7997

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