Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines.
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DOI: 10.1016/j.cma.2016.07.028
Abstract: This paper uses a divergence-conforming B-spline fluid discretization to address the long-standing issue of poor mass conservation in immersed methods for computational fluid-structure interaction (FSI) that represent the influence of the structure as a forcing… read more here.
Keywords: conforming splines; fluid; divergence conforming; analysis ... See more keywords
A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem
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DOI: 10.1016/j.cma.2016.10.014
Abstract: Abstract The recently introduced divergence-conforming B-spline discretizations allow the construction of smooth discrete velocity–pressure pairs for viscous incompressible flows that are at the same time inf – sup stable and pointwise divergence-free. When applied to… read more here.
Keywords: conforming spline; block; divergence conforming; divergence ... See more keywords
Fast divergence-conforming reduced basis methods for steady Navier–Stokes flow
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DOI: 10.1016/j.cma.2018.11.038
Abstract: Abstract Reduced-basis methods (RB methods or RBMs) form one of the most promising techniques to deliver numerical solutions of parametrized PDEs in real-time with reasonable accuracy. For incompressible flow problems, RBMs based on LBB stable… read more here.
Keywords: divergence conforming; basis; velocity; navier stokes ... See more keywords