By recasting continuous-forcing immersed boundary problems as composite interior-exterior fields with a smoothed indicator function, the method incorporates neglected terms to achieve second-order convergence in Poisson problems and near-second-order in incompressible Navier-Stokes flows, while also
A front-tracking method for viscous, incompressible, multi-fluid flows.Journal of Computational Physics, 100(1):25–37, May 1992
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A diffuse interface mixture formulation coupled to immersed boundary method enables simulation of oxygen transport and metabolism with deforming RBCs in straight and networked capillaries, indicating autonomous RBC regulation that produces homogeneous tissue oxygenation.
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Beyond first-order accuracy in continuous-forcing immersed boundary methods, and their well-conditioned projection-based solution
By recasting continuous-forcing immersed boundary problems as composite interior-exterior fields with a smoothed indicator function, the method incorporates neglected terms to achieve second-order convergence in Poisson problems and near-second-order in incompressible Navier-Stokes flows, while also
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Diffuse interface approach to oxygen transport and metabolism under blood flow dynamics in microcirculations
A diffuse interface mixture formulation coupled to immersed boundary method enables simulation of oxygen transport and metabolism with deforming RBCs in straight and networked capillaries, indicating autonomous RBC regulation that produces homogeneous tissue oxygenation.