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Solving 3D viscous incompressible Navier-Stokes equations using CUDA

Santiago D. Costarelli, Mario A. Storti, Rodrigo R. Paz, Lisandro D. Dalcin, Sergio A. Idelshon
CIMEC – INTEC, Predio CONICET Santa Fe, Colectora Ruta Nac 168, Km 472, Paraje El Pozo, CP 3000, Santa Fe, Argentina
VI Latin American Symposium on High Performance Computing (HPCLatAm), 2013
@article{costarelli2013solving,

   title={Solving 3D viscous incompressible Navier-Stokes equations using CUDA},

   author={Costarelli, Santiago D and Storti, Mario A and Paz, Rodrigo R and Dalcin, Lisandro D and Idelshon, Sergio A},

   year={2013}

}

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A CUDA implementation of the 3D viscous incompressible Navier-Stokes equations is proposed using as advection operator the BFECC (Back and Forth Error Compensation and Correction) scheme. The Poisson problem for pressure is solved with a CG (Conjugated Gradient) preconditioning the system with FFTs (Fast Fourier Transforms). Study cases such as Lid-Driven Cavity and Flow Past Circular Cilinder, both 2D and 3D, are solved in order to check accuracy and obtain performance measurements.
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