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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Jaber, J. Hasbestan Senocak, Inanc |
| Copyright Year | 2018 |
| Abstract | Many environmental flows are simulated in a Cartesian domain using buoyancy-driven incompressible Navier-Stokes equations. A significant cost of the simulation is devoted to the solution of the elliptic pressure equation to enforce the conservation of mass principle. The legacy software, FISHPACK, has been used for this purpose for many years. We present a new software package for the direct solution of the pressure Poisson’s equation on a directionally uniform Cartesian mesh with a second-order accurate finite-difference formulation. We use the separation of variables principle and adopt fast Fourier transforms (FFT) to convert the system to a group of independent tridiagonal systems that can be solved directly. The computational complexity of the present methodology is proportional to N2 (O(NlogN)). However, each stage of the solution algorithm can be performed simultaneously leading to a pleasingly parallel problem that is well suited for massively-threaded accelerators, such as modern graphics processing units (GPU). Theoretically speaking, if an accelerator can sustain N2 resident threads, the computational complexity will drop to O(NlogN). We use OpenACC directives with cuFFT library on a GPU to realize substantial acceleration of the overall solution algorithm and compare its performance relative to an implementation that used the FFTW library on central processing units (CPU). For a problem with 5123 points, the GPU version is about 17 × faster than the CPU version. |
| File Format | |
| ISBN | 9780791852101 |
| DOI | 10.1115/IMECE2018-87697 |
| Volume Number | Volume 7: Fluids Engineering |
| Conference Proceedings | ASME 2018 International Mechanical Engineering Congress and Exposition |
| Language | English |
| Publisher Date | 2018-11-09 |
| Publisher Place | Pittsburgh, Pennsylvania, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Navier-stokes equations Computer software Graphics processing units Buoyancy Screw threads Poisson equation Separation (technology) Pressure Flow (dynamics) Thread Algorithms Simulation Fast fourier transforms |
| Content Type | Text |
| Resource Type | Article |
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