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• W2141419602 abstract "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." @default.
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• W2141419602 date "2012-06-01" @default.
• W2141419602 modified "2023-10-02" @default.
• W2141419602 title "A volume penalization method for incompressible flows and scalar advection–diffusion with moving obstacles" @default.
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• W2141419602 doi "https://doi.org/10.1016/j.jcp.2012.01.036" @default.
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