A spectral boundary integral method for flowing blood cells
A spectral boundary integral method for simulating large numbers of blood cells flowing in
complex geometries is developed and demonstrated. The blood cells are modeled as finite …
complex geometries is developed and demonstrated. The blood cells are modeled as finite …
Modeling the dynamics of an elastic rod with intrinsic curvature and twist using a regularized Stokes formulation
We develop a Lagrangian numerical algorithm for an elastic rod immersed in a viscous,
incompressible fluid at zero Reynolds number. The elasticity of the rod is described by a …
incompressible fluid at zero Reynolds number. The elasticity of the rod is described by a …
A fast multipole method for the three-dimensional Stokes equations
AK Tornberg, L Greengard - Journal of Computational Physics, 2008 - Elsevier
Many problems in Stokes flow (and linear elasticity) require the evaluation of vector fields
defined in terms of sums involving large numbers of fundamental solutions. In the fluid …
defined in terms of sums involving large numbers of fundamental solutions. In the fluid …
Nonlinear time‐domain wave‐structure interaction: A parallel fast integral equation approach
We report on the development and validation of a new numerical wave tank (NWT) solving
fully nonlinear potential flow (FNPF) equations, as a more efficient variation of Grilli et al.'s …
fully nonlinear potential flow (FNPF) equations, as a more efficient variation of Grilli et al.'s …
Recursive computation of the multipole expansions of layer potential integrals over simplices for efficient fast multipole accelerated boundary elements
In boundary element methods (BEM) in R 3, matrix elements and right hand sides are
typically computed via analytical or numerical quadrature of the layer potential multiplied by …
typically computed via analytical or numerical quadrature of the layer potential multiplied by …
Spectrally accurate fast summation for periodic Stokes potentials
D Lindbo, AK Tornberg - Journal of Computational Physics, 2010 - Elsevier
A spectrally accurate method for the fast evaluation of N-particle sums of the periodic
Stokeslet is presented. Two different decomposition methods, leading to one sum in real …
Stokeslet is presented. Two different decomposition methods, leading to one sum in real …
Research progress of high-performance BEM and investigation on convergence of GMRES in local stress analysis of slender real thin-plate beams
Z Yao, X Zheng, H Yuan, J Feng - Engineering Computations, 2019 - emerald.com
Purpose Based on the error analysis, the authors proposed a new kind of high accuracy
boundary element method (BEM)(HABEM), and for the large-scale problems, the fast …
boundary element method (BEM)(HABEM), and for the large-scale problems, the fast …
Vesicles, capsules and red blood cells under flow
C Misbah - Journal of Physics: Conference Series, 2012 - iopscience.iop.org
Blood flow is dictated by the dynamics of red blood cells (RBCs), which constitute by far the
major component. RBCs are made of aa two dimensional fluid bilayer of phospholipids …
major component. RBCs are made of aa two dimensional fluid bilayer of phospholipids …
Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme
We present a fast, high-order accurate and adaptive boundary integral scheme for solving
the Stokes equations in complex—possibly nonsmooth—geometries in two dimensions. We …
the Stokes equations in complex—possibly nonsmooth—geometries in two dimensions. We …
Computational software: Simple fmm libraries for electrostatics, slow viscous flow, and frequency-domain wave propagation
Z Gimbutas, L Greengard - Communications in Computational …, 2015 - cambridge.org
We have developed easy to use fast multipole method (FMM) libraries for the Laplace, low-
frequency Helmholtz, and Stokes equations in two and three dimensions. The codes are …
frequency Helmholtz, and Stokes equations in two and three dimensions. The codes are …