کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4967165 | 1449365 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Effects of high-frequency damping on iterative convergence of implicit viscous solver
ترجمه فارسی عنوان
اثرات ماندگاری فرکانس بالا بر روی همگرایی تکراری حل کننده ضخیم چسبنده
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کلمات کلیدی
حجم محدود، نفوذ، حل کننده چسبناک، نائیر استوکس،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
This paper discusses effects of high-frequency damping on iterative convergence of an implicit defect-correction solver for viscous problems. The study targets a finite-volume discretization with a one parameter family of damped viscous schemes. The parameter α controls high-frequency damping: zero damping with α=0, and larger damping for larger α(>0). Convergence rates are predicted for a model diffusion equation by a Fourier analysis over a practical range of α. It is shown that the convergence rate attains its minimum at α=1 on regular quadrilateral grids, and deteriorates for larger values of α. A similar behavior is observed for regular triangular grids. In both quadrilateral and triangular grids, the solver is predicted to diverge for α smaller than approximately 0.5. Numerical results are shown for the diffusion equation and the Navier-Stokes equations on regular and irregular grids. The study suggests that α=1 and 4/3 are suitable values for robust and efficient computations, and α=4/3 is recommended for the diffusion equation, which achieves higher-order accuracy on regular quadrilateral grids. Finally, a Jacobian-Free Newton-Krylov solver with the implicit solver (a low-order Jacobian approximately inverted by a multi-color Gauss-Seidel relaxation scheme) used as a variable preconditioner is recommended for practical computations, which provides robust and efficient convergence for a wide range of α.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 348, 1 November 2017, Pages 66-81
Journal: Journal of Computational Physics - Volume 348, 1 November 2017, Pages 66-81
نویسندگان
Hiroaki Nishikawa, Yoshitaka Nakashima, Norihiko Watanabe,