Numerical simulation of incompressible viscous flow in deforming domains

被引:7
作者
Colella, P [1 ]
Trebotich, DP
机构
[1] Lawrence Berkeley Lab, Appl Numer Algorithms Grp, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
关键词
D O I
10.1073/pnas.96.10.5378
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We present a second-order accurate finite difference method for numerical solution of the incompressible Navier-Stokes equations in deforming domains. Our approach is a generalization of the Bell-Colella-Glaz predictor-corrector method for incompressible flow. In order to treat the time-dependence and inhomogeneities in the incompressibility constraint introduced by presence of deforming boundaries, we introduce a nontrivial splitting of the velocity field into vortical and potential components to eliminate the inhomogeneous terms in the constraint and a generalization of the Bell-Colella-Glaz algorithm to treat time-dependent constraints. The method is second-order accurate in space and time, has a time step constraint determined by the advective Colella-Friedrichs-Lewy condition, and requires the solution of well behaved linear systems amenable to the use of fast iterative methods. We demonstrate the method on the specific example of viscous incompressible flow in an axisymmetric deforming tube.
引用
收藏
页码:5378 / 5381
页数:4
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