A Cartesian cut cell method for rarefied flow simulations around moving obstacles

For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian cells and various kinds of cut cells by the same algorithm,...

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Bibliographic Details
Published in:Journal of computational physics 2016-06, Vol.314 (1), p.465-488
Main Authors: Dechristé, G., Mieussens, L.
Format: Article
Language:English
Subjects:
ALGORITHMS
BOUNDARY CONDITIONS
Cartesian
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computer simulation
Cut cell method
DESIGN
Deterministic method
Engineering Sciences
Flow simulation
Fluids mechanics
GAS FLOW
Immersed boundaries
KINETIC EQUATIONS
Mathematics
Mechanics
Moving obstacles
Numerical Analysis
RADIOMETERS
Rarefied gas dynamics
SHAPE
SIMULATION
Three dimensional
Unsteady
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Summary:For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian cells and various kinds of cut cells by the same algorithm, with no need to identify the specific shape of each cut cell. This makes the implementation quite simple, and allows a direct extension to 3D problems. Such simulations are also made possible by using an adaptive mesh refinement technique and a hybrid parallel implementation. This is illustrated by several test cases, including a 3D unsteady simulation of the Crookes radiometer.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2016.03.024