کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519021 | 867634 | 2012 | 19 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A volume penalization method for incompressible flows and scalar advection–diffusion with moving obstacles A volume penalization method for incompressible flows and scalar advection–diffusion with moving obstacles](/preview/png/519021.png)
A volume penalization method for imposing homogeneous Neumann boundary conditions in advection–diffusion equations is presented. Thus complex geometries which even may vary in time can be treated efficiently using discretizations on a Cartesian grid. A mathematical analysis of the method is conducted first for the one-dimensional heat equation which yields estimates of the penalization error. The results are then confirmed numerically in one and two space dimensions. Simulations of two-dimensional incompressible flows with passive scalars using a classical Fourier pseudo-spectral method validate the approach for moving obstacles. The potential of the method for real world applications is illustrated by simulating a simplified dynamical mixer where for the fluid flow and the scalar transport no-slip and no-flux boundary conditions are imposed, respectively.
Journal: Journal of Computational Physics - Volume 231, Issue 12, 20 June 2012, Pages 4365–4383