Image systems for regularised stokeslets at walls and free surfaces (Q2112082)

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scientific article; zbMATH DE number 7643273
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Image systems for regularised stokeslets at walls and free surfaces
scientific article; zbMATH DE number 7643273

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    Image systems for regularised stokeslets at walls and free surfaces (English)
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    17 January 2023
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    The authors discuss the system of stationary Stokes equations and its singular solutions, stokeslets. The method of regularised stokeslets is developed. It consists in replacing a sum over singular point elements by one over finite distributed sources. The authors apply the image method for regularised stokeslets in the case of plane no-slip walls and free surfaces in a form that is independent of orientation and in canonical six-term forms (for velocity) and three-term forms (for pressure) that are convenient for computation. The simulations illustrate competing physical effects near a boundary at small gap sizes between the particle and the wall.
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    Stokes equations
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    image method
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    singular point element
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    wall boundary
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    free surface flow
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    helical micro-robot
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    sphere
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