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

@article{Dechrist2015ACC,
  title={A Cartesian cut cell method for rarefied flow simulations around moving obstacles},
  author={Guillaume Dechrist{\'e} and Luc Mieussens},
  journal={J. Comput. Phys.},
  year={2015},
  volume={314},
  pages={465-488}
}
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18 Citations
Background Citations
3
Methods Citations
2

18 Citations

A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries

A three-dimensional Cartesian cut-cell/volume-of-fluid method for two-phase flows with moving bodies

Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology

The present work determines numerical solutions applied to flow problems in a cut-cell framework, introducing and evaluating two interpolation alternatives for the treatment of the convective terms…

Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries

  • Céline BarangerNicolas HérouardJulien MathiaudL. Mieussens
  • Computer Science, Mathematics
    Math. Comput. Simul.
  • 2019

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It is important to track and reconstruct the complex immersed boundaries for simulating fluid structure interaction problems in an immersed boundary method (IBM). In this paper, a polynomial radial…

A radial basis function for reconstructing complex immersed boundaries in ghost cell method

It is important to track and reconstruct the complex immersed boundaries for simulating fluid structure interaction problems in an immersed boundary method (IBM). In this paper, a polynomial radial…

High order central WENO-Implicit-Explicit Runge Kutta schemes for the BGK model on general polygonal meshes

Interaction of rigid body motion and rarefied gas dynamics based on the BGK model

In this paper we present simulations of moving rigid bodies immersed in a rarefied gas. The rarefied gas is simulated by solving the Bhatnager-Gross-Krook (BGK) model for the Boltzmann equation. The…

Burnett Spectral Method for High-Speed Rarefied Gas Flows

A numerical solver for the spatially inhomogeneous Boltzmann equation using the Burnett spectral method and introduces an additional term to the discrete collision operator, which equals zero when the number of degrees of freedom tends to infinity.

Direct forcing immersed boundary methods: Improvements to the ghost-cell method

63 References

An Adaptive Cartesian Mesh Algorithm for the Euler Equations in Arbitrary Geometries

A Cartesian mesh algorithm with adaptive refinement to compute flows around arbitrary geometries to solve the problem of efficient implementation on vector computers without using gather-scatter operations except at boundary cells.

Calculation of compressible flows about complex moving geometries using a three‐dimensional Cartesian cut cell method

A three-dimensional Cartesian cut cell method is described for modelling compressible flows around complex geometries, which may be either static or in relative motion. A background Cartesian mesh is…

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Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains

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Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement

...