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Showing 1 to 4 of 4 for “"fictitious domain"”.
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Towards a fictitious domain method with optimally smooth solutions
… is the smoothness of the solutions provided by fictitious domain methods for elliptic boundary value problems, and the construction of a new fictitious domain method which does not introduce artificial singularities, yielding better performance. After settling the notation and the theoretical …
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Geometry Projection Methods for Shape and Topology Optimization
The objective of this thesis is to develop fictitious domain methods for shape and topology optimization of continuum structures in which an unambiguous definition of the geometry is available. We use fictitious domain methods because they simplify the response analysis by eliminating the need for …
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Numerical Simulation of Red Blood Cells in Capillaries
… with a distributed Lagrange multiplier/fictitious domain method to simulate the motion of a compound vesicle in a microchannel. We validate the methodology by comparing the numerical results of neutrally buoyant particle with the Jeffery's solutions. Numerical results with Stokes …
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Simulation of concentrated non-Brownian frictional and adhesive suspensions in linear and nonlinear flows
… flows at low Reynolds number, based on the Fictitious Domain Method and supplemented by sub-grid lubrication corrections. In their usual form, sub-grid corrections involve the underlying linear flow. In the present work, the conditions required to avoid considering this ambient flow while …