Hydrodynamic flows on curved surfaces: spectral numerical methods for radial manifold shapes
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Publication:2425295
DOI10.1016/j.jcp.2018.06.013zbMath1415.76489arXiv1803.07594OpenAlexW2792660685MaRDI QIDQ2425295
Paul J. Atzberger, B. J. Gross
Publication date: 26 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.07594
membranesimmersed boundary methodsfluid interfacesspectral numerical methodsLebedev quadraturesurface hydrodynamics
Spectral methods applied to problems in fluid mechanics (76M22) Variational methods applied to problems in fluid mechanics (76M30) Applications of PDEs on manifolds (58J90) PDEs on manifolds (35R01)
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Cites Work
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- Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations
- Spherical harmonics and approximations on the unit sphere. An introduction
- The chain collocation method: a spectrally accurate calculus of forms
- Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes
- Exact theory of stress and strain in rods and shells
- A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales
- Manifolds, tensor analysis, and applications.
- Computing Fourier transforms and convolutions on the 2-sphere
- Fast spherical Fourier algorithms.
- FFTs for the 2-sphere-improvements and variations
- A quadrature formula for the sphere of the 131st algebraic order of accuracy
- A stabilized finite element formulation for liquid shells and its application to lipid bilayers
- Fluid films with curvature elasticity
- Constructive polynomial approximation on the sphere
- Thin film dynamics on a prolate spheroid with application to the cornea
- On the geometric character of stress in continuum mechanics
- Fourth order partial differential equations on general geometries
- On Cauchy's equations of motion
- Fluctuating Hydrodynamics Methods for Dynamic Coarse-Grained Implicit-Solvent Simulations in LAMMPS
- Simulation of Osmotic Swelling by the Stochastic Immersed Boundary Method
- Multiscale Modeling of Membrane Rearrangement, Drainage, and Rupture in Evolving Foams
- Numerical Integration on the Sphere
- Shear-driven circulation patterns in lipid membrane vesicles
- Finite element exterior calculus, homological techniques, and applications
- On spatial and material covariant balance laws in elasticity
- On geometric discretization of elasticity
- A procedure to debug computer programs
- Surface Rheology II. The Curved Fluid Surface
- SURFACE FLOW OF VISCOELASTIC MEMBRANES IN VISCOUS FLUIDS
- Numerical integration on the sphere
- Brownian motion in thin sheets of viscous fluid
- Quadratures on a sphere
- A micromechanical investigation of interfacial transport processes. I. Interfacial conservation equations
- A micromechanical investigation of interfacial transport processes. II. Interfacial constitutive equations
- An Introduction to Fluid Dynamics
- Efficient Spherical Designs with Good Geometric Properties
- Intracellular Fluid Mechanics: Coupling Cytoplasmic Flow with Active Cytoskeletal Gel
- Hydrodynamic fluctuations in quasi-two dimensional diffusion
- The Surface Evolver
- Finite Element Exterior Calculus for Evolution Problems
- The Mathematical Theory of Finite Element Methods
- Interfacial dynamics for Stokes flow.
- How good can polynomial interpolation on the sphere be?
