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- 저자 : Neo Shih-Chao Kao (검색결과 1 건)
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Neo Shih-Chao Kao,Tony W. H. Sheu 한국전산유체공학회 2014 한국전산유체공학회 학술대회논문집 Vol.2014 No.10
A finite element model is developed to solve the three-dimensional incompressible Navier-Stokes equations at the steady-state using the LBB satisfying elements. To circumvent the velocity oscillations in high Reynolds number, the streamline upwinding finite element model is developed by minimizing the numerical wavenumber error for the convection term. The mixed finite element formulation is adopted and the resulting unsymmetric and indefinite finite element matrix equations will be solved iteratively. To avoid a Lanczos or a pivoting breakdown, the matrix equation has been normalized. The conjugate gradient solver can be therefore applied to get the unconditionally convergent solution from the resulting symmetric and positive definite matrix equation. To alleviate the drawback of the resulting slower convergence, a preconditioner can be used to reduce the increasing condition number. The time consuming PCG solver will be executed on GPU platform. The matrix-vector multiplication is implemented on GPU using the EBE and mesh coloring techniques. The shared memory and global memory coalesce strategies are also adopted to optimize the speedup performance. The developed code is verified by solving the problem amenable to analytical solutions. The lid-driven cavity problem is then solved for the assessment of speedups.
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