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107 papers · 1 filter
Contact-aware simulations of particulate Stokesian suspensions
Libin Lu, Abtin Rahimian, Denis Zorin
We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a w…
A Fast Algorithm for the Moments of Bingham Distribution
Yixiang Luo, Jie Xu, Pingwen Zhang
We propose a fast algorithm for evaluating the moments of Bingham distribution. The calculation is done by piecewise rational approximation, where interpolation and Gaussian integr…
Ubiquitous evaluation of layer potentials using Quadrature by Kernel-Independent Expansion
Abtin Rahimian, Alex Barnett, Denis Zorin
We introduce a quadrature scheme--QBKIX--for the high-order accurate evaluation of layer potentials associated with general elliptic PDEs near to and on the domain boundary. Relyin…
Eroding dipoles and vorticity growth for Euler flows in : The hairpin geometry as a model for finite-time blowup
Stephen Childress, Andrew D. Gilbert
A theory of an eroding "hairpin" vortex dipole structure in three dimensions is developed, extending our previous study of an axisymmetric eroding dipole without swirl. The hairpin…
Stochastic Simulation of Reaction-Diffusion Systems: A Fluctuating-Hydrodynamics Approach
Changho Kim, Andy Nonaka, John B. Bell +2
We develop numerical methods for reaction-diffusion systems based on the equations of fluctuating hydrodynamics (FHD). While the FHD formulation is formally described by stochastic…
Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model
Franz Merkl, Silke W. W. Rolles, Pierre Tarrès
In this paper, we define an extension of the supersymmetric hyperbolic nonlinear sigma model introduced by Zirnbauer. We show that it arises as a weak joint limit of a time-changed…