کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7156450 | 1462648 | 2018 | 54 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Application of nonlinear Krylov acceleration to a reconstructed discontinuous Galerkin method for compressible flows
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
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چکیده انگلیسی
A variant of Anderson Mixing, namely the Nonlinear Krylov Acceleration (NKA), is presented and implemented in a reconstructed Discontinuous Galerkin (rDG) method to solve the compressible Euler and Navier-Stokes equations on hybrid grids. A nonlinear system of equations as a result of a fully implicit temporal discretization at each time step is solved using the NKA method with a lower-upper symmetric Gauss-Seidel (LU-SGS) preconditioner. The developed NKA method is used to compute a variety of flow problems and compared with a well-known Newton-GMRES method to demonstrate the performance of the NKA method. Our numerical experiments indicate that the NKA method outperforms its Newton-GMRES counterpart for transient flow problems, and is comparable to Newton-GMRES for steady cases, and thus provides an attractive alternative to solve the system of nonlinear equations arising from the rDG approximation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Fluids - Volume 163, 15 February 2018, Pages 32-49
Journal: Computers & Fluids - Volume 163, 15 February 2018, Pages 32-49
نویسندگان
Chuanjin Wang, Jian Cheng, Markus Berndt, Neil N. Carlson, Hong Luo,