Improving the speed and accuracy of projection-type incompressible flow solvers

被引:35
作者
Löhner, R
Yang, C
Cebral, J
Camelli, F
Soto, O
Waltz, J
机构
[1] George Mason Univ, Sch Comutat Sci, Fairfax, VA 22030 USA
[2] Adv Technol Grp SAIC, Mclean, VA 22102 USA
[3] Los Alamos Natl Lab, Div Appl Phys, Los Alamos, NM 87545 USA
关键词
incompressible flow solvers; projection schemes; multistage Runge-Kutta; LU-SGS; linelet preconditioning; FEM; CFD;
D O I
10.1016/j.cma.2004.07.058
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Superseding so-called first-generation incompressible flow solvers of the projection type (based on Taylor-Galerkin advection, second-order pressure damping and element-based data structures), the current, second-generation solvers (based on high-order upwind advection, fourth-order pressure damping and edge-based data structures) have now been in use for half a decade and have proven remarkably robust and efficient for many large-scale problems. In order to achieve higher accuracy and speed, these solvers have recently been enhanced in a variety of ways: (a) substepping for advection, (b) implicit treatment of advective terms via SGS and GMRES-LU-SGS iterative solvers, (c) fully implicit. time-accurate advancement of pressure and velocities.. and (d) linelet preconditioning for the pressure-Poisson equation. The combined effect of these third-generation improvements leads to speedups of the order of 0(1:5-1:10), with similar or even better temporal accuracy, as demonstrated on a variety of academic and industrial problems. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:3087 / 3109
页数:23
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