Finite difference method in prolate spheroidal coordinates for freely suspended spheroidal particles in linear flows of viscous and viscoelastic fluids
DOI10.1016/j.jcp.2023.112559arXiv2310.06665OpenAlexW4387747367MaRDI QIDQ6087977
Publication date: 16 November 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.06665
viscoelastic fluidsspheresfinite differenceprolate spheroidal coordinateslarge aspect ratio fibersmoderate inertial effects
Basic methods in fluid mechanics (76Mxx) Incompressible viscous fluids (76Dxx) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76Axx)
Cites Work
- Unnamed Item
- Unnamed Item
- The log-conformation tensor approach in the finite-volume method framework
- Viscoelasticity-induced migration of a rigid sphere in confined shear flow
- Development of a Stokes flow solver robust to large viscosity jumps using a Schur complement approach with mixed precision arithmetic
- Numerical simulations of particle migration in a viscoelastic fluid subjected to shear flow
- Fully conservative finite difference scheme in cylindrical coordinates for incompressible flow simulations
- An aggregation-based algebraic multigrid method
- High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set
- High order conservative finite difference scheme for variable density low Mach number turbulent flows
- Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms
- The stress in a dilute suspension of spheres suspended in a second-order fluid subject to a linear velocity field
- On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
- A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions.
- A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates
- Free-stream preserving finite difference schemes on curvilinear meshes
- A finite-difference scheme for three-dimensional incompressible flows in spherical coordinates
- A direct-forcing fictitious domain method for particulate flows
- Constitutive laws for the matrix-logarithm of the conformation tensor
- Effects of inertia and viscoelasticity on sedimenting anisotropic particles
- An Algebraic Multigrid Method with Guaranteed Convergence Rate
- Simple shear flow of a suspension of fibres in a dilute polymer solution at high Deborah number
- Immersed Methods for Fluid–Structure Interaction
- IMMERSED BOUNDARY METHODS
- Pressure boundary condition for the time-dependent incompressible Navier–Stokes equations
- Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
- EFFICIENT NUMERICAL DIAGONALIZATION OF HERMITIAN 3 × 3 MATRICES
- Screening mechanisms in sedimentation
- Effect of free rotation on the motion of a solid sphere in linear shear flow at moderate Re
- Simulations of three-dimensional viscoelastic flows past a circular cylinder at moderate Reynolds numbers
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- On pressure boundary conditions for the incompressible Navier-Stokes equations
- The slow motion of slender rod-like particles in a second-order fluid
- Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows
- The motion of long slender bodies in a viscous fluid. Part 2. Shear flow
- Microhydrodynamics, Brownian Motion, and Complex Fluids
- Swimming with swirl in a viscoelastic fluid
- Inertial effects on fibre motion in simple shear flow
- Efficient Variable-Coefficient Finite-Volume Stokes Solvers
- The stress system in a suspension of force-free particles
- Slender-body theory for particles of arbitrary cross-section in Stokes flow
- The lift on a small sphere in a slow shear flow
- The motion of long slender bodies in a viscous fluid Part 1. General theory
- The Art of Molecular Dynamics Simulation
- Numerical Methods for Viscoelastic Fluid Flows
- Dilute sedimenting suspensions of spheres at small inertia
- Computational Fluid Dynamics
This page was built for publication: Finite difference method in prolate spheroidal coordinates for freely suspended spheroidal particles in linear flows of viscous and viscoelastic fluids