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Navier-Stokes on programmable graphics hardware using SMAC

C.E. Scheidegger, J.L.D. Comba, R.D. da Cunha
Instituto de Informatica, Univ. Fed. do Rio Grande do Sul, Porto Alegre, Brazil
17th Brazilian Symposium on Computer Graphics and Image Processing, 2004

@article{scheidegger2004navier,

   title={Navier-stokes on programmable graphics hardware using smac},

   author={Scheidegger, C.E. and others},

   year={2004},

   publisher={Published by the IEEE Computer Society}

}

Modern programmable graphics hardware offers sufficient computing power to suggest the implementation of traditional algorithms on the graphics processor. This paper describes a complete implementation of a standard technique to solve the incompressible Navier-Stokes fluid equations running entirely on the GPU: the SMAC (simplified marker and cell) method. This method is widely used in engineering applications. The described implementation works with general rectangular domains, with or without obstacles, and with a variety of boundary conditions. Furthermore, we show that our implementation is about sixteen times faster than a reference CPU implementation running on similar cost hardware. Finally, we discuss simple extensions to the method to deal with more general situations, such as free boundary-value problems and three-dimensional domains.
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