%0 Journal Article
%T A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles
%+ Laboratoire de Mécanique, Modélisation et Procédés Propres (M2P2)
%+ Institut universitaire des systèmes thermiques industriels (IUSTI)
%+ Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS)
%+ Institut de Mathématiques de Marseille (I2M)
%+ Centre de Mathématiques et Informatique [Marseille] (CMI)
%A Kadoch, Benjamin
%A Kolomenskiy, Dmitry
%A Angot, Philippe
%A Schneider, Kai
%< avec comité de lecture
%@ 0021-9991
%J Journal of Computational Physics
%I Elsevier
%V 231
%N 12
%P 4365-4383
%8 2012
%D 2012
%R 10.1016/j.jcp.2012.01.036
%K Volume penalization
%K Spectral methods
%K Neumann boundary conditions
%K Moving obstacles
%Z Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01032208/document
%2 https://hal.science/hal-01032208/file/Kadoch2012.pdf
%L hal-01032208
%U https://hal.science/hal-01032208
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ M2P2
%~ I2M
%~ I2M-2014-
%~ IUSTI
%~ PEIRESC