A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles

作者：Kadoch Benjamin^*; Kolomenskiy Dmitry; Angot Philippe; Schneider Kai

来源：Journal of Computational Physics, 2012, 231(12): 4365-4383.

DOI：10.1016/j.jcp.2012.01.036

• Volume penalization
• Spectral methods
• Neumann boundary conditions
• Moving obstacles

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.

• 出版日期2012-6-20