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
Stein, Robert D
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DMK extended to rectangular cuboids with arbitrary periodicity via localized octree evaluations on cubical tilings and Fourier-space root-level summation with truncated kernels for reduced periodicity.
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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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Fast summation on rectangular cuboids with arbitrary periodicity in the DMK framework
DMK extended to rectangular cuboids with arbitrary periodicity via localized octree evaluations on cubical tilings and Fourier-space root-level summation with truncated kernels for reduced periodicity.