Numerical solution of the Stokes problem using CUDA

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00188946" target="_blank" >RIV/68407700:21340/12:00188946 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Numerical solution of the Stokes problem using CUDA
Original language description
Effective numerical solution of incompressible flow problems is essential for, e.g., atmospheric boundary layer simulations. Mixed finite element approximation of the incompressible Stokes or Navier-Stokes equations leads to saddle-point linear systems.Techniques for the efficient solution of large saddle-point systems are often based on an LU factorization of a sparse matrix followed by forward and backward substitutions. However, this approach is difficult to parallelize effectively. We investigate the application of graphics processing units to parallel solution of large saddle-point linear systems arising from the mixed finite element approximation of the two-dimensional Stokes equations. We present an implementation of the Schur complement methodin CUDA. It is based entirely on the conjugate gradient method which can be easily parallelized on the GPU. The implementation is tested on the lid-driven cavity flow and compared with a corresponding OpenMP-based CPU implementation. The
Czech name
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Czech description
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Project
<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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