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Creators/Authors contains: "Theillard, Maxime"

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  1. ; ; ; (, Soft Matter)
    Autonomous out-of-equilibrium agents or cells in suspension are ubiquitous in biology and engineering. 
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  2. ; ; ; (, Journal of Computational Physics)
    We propose a novel collocated projection method for solving the incompressible Navier-Stokes equations with arbitrary boundaries. Our approach employs non-graded octree grids, where all variables are stored at the nodes. To discretize the viscosity and projection steps, we utilize supra-convergent finite difference approximations with sharp boundary treatments. We demonstrate the stability of our projection on uniform grids, identify a sufficient stability condition on adaptive grids, and validate these findings numerically. We further demonstrate the accuracy and capabilities of our solver with several canonical two- and three-dimensional simulations of incompressible fluid flows. Overall, our method is second-order accurate, allows for dynamic grid adaptivity with arbitrary geometries, and reduces the overhead in code development through data collocation. 
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  3. ; ; (, Journal of Computational Physics)
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  4. ; ; ; (, Journal of Computational Physics)
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  5. ; ; (, Journal of Computational Physics)
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