Eulerian simulation of complex suspensions and biolocomotion in three dimensions

  title={Eulerian simulation of complex suspensions and biolocomotion in three dimensions},
  author={Yuexia Luna Lin and Nicholas J. Derr and Chris H. Rycroft},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  • Y. Lin, N. Derr, C. Rycroft
  • Published 31 March 2021
  • Biology
  • Proceedings of the National Academy of Sciences of the United States of America
Significance Fluid–structure interactions are ubiquitous in many natural and man-made environments. They are difficult to study analytically, and therefore accurate and flexible computational methods are an indispensable tool in the field. Typically, fluids are simulated with a fixed background computational mesh, whereas a solid is simulated with a mesh that moves with it, making it challenging to couple the two. Here we develop a three-dimensional computational method where both fluid and… 

Figures and Tables from this paper

A projection method for porous media flow
Flow through porous, elastically deforming media is present in a variety of natural contexts rang-ing from large-scale geophysics to cellular biology. In the case of incompressible constituents, the
Wall shear stress and pressure patterns in aortic stenosis patients with and without aortic dilation captured by high-performance image-based computational fluid dynamics
Spatial patterns of elevated wall shear stress and pressure due to turbulent blood flow past aortic stenosis (AS) are studied using GPU-accelerated patient-specific computational fluid dynamics. Three


Reference map technique for incompressible fluid–structure interaction
The flapping analysis is extended beyond the thin-flag limit, revealing an additional destabilization mechanism to induce flapping and the method has several useful features including the able to model solids with sharp corners and the ability to model actuated solids.
Immersed Methods for Fluid-Structure Interaction.
This article reviews immersed methods for both elastic structures and structures with prescribed kinematics using integral operators to connect the Eulerian and Lagrangian frames and methods that directly apply jump conditions along fluid-structure interfaces.
Swimming in a two-dimensional Brinkman fluid: Computational modeling and regularized solutions
The incompressible Brinkman equation represents the homogenized fluid flow past obstacles that comprise a small volume fraction. In nondimensional form, the Brinkman equation can be characterized by
Interfacial gauge methods for incompressible fluid dynamics
  • R. Saye
  • Engineering
    Science Advances
  • 2016
A new class of numerical algorithms facilitates accurate computational modeling of intricate fluid interface phenomena by using a type of “gauge freedom” to reduce the numerical coupling between fluid velocity, pressure, and interface position, allowing high-order accurate numerical methods to be developed more easily.