The immersed molecular finite element method
DOI10.1016/j.cma.2012.04.005zbMath1253.76060OpenAlexW1966151848MaRDI QIDQ695912
Wing Kam Liu, Neelesh A. Patankar, Adrian Marcin Kopacz
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.04.005
fluidfluctuating hydrodynamicsstructure interactionimmersed molecular finite element methodmolecular phenomenananodiamond self-assemblynanoscale computational fluidics
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Particle methods and lattice-gas methods (76M28) Medical applications (general) (92C50) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations
- Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua
- A parallelized meshfree method with boundary enrichment for large-scale CFD
- Direct numerical simulation of the Brownian motion of particles by using fluctuating hydrodynamic equations
- Immersed finite element method
- Extended immersed boundary method using FEM and RKPM
- Rheology of red blood cell aggregation by computer simulation
- A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales
- Velocity correlations of a thermally fluctuating Brownian particle: a novel model of the hydrodynamic coupling
- Manipulation of nanoparticles and biomolecules by electric field and surface tension
- On the foundations of the stochastic immersed boundary method
- Simulation and prediction of endothelial cell adhesion modulated by molecular engineering
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
- Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
- Generalized multiple scale reproducing kernel particle methods
- Finite element stabilization parameters computed from element matrices and vectors
- Computational cell biology
- A level set approach to Eulerian--Lagrangian coupling.
- Fluctuating hydrodynamics and Brownian motion
- Immersed finite element method and its applications to biological systems
- Fluid-structure interaction by the spectral element method
- Flow patterns around heart valves: A numerical method
- Accelerated Stokesian Dynamics simulations
- Meshfree Particle Methods
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
- Penalty immersed boundary method for an elastic boundary with mass
- Immersed electrokinetic finite element method
- Stokes flow through periodic arrays of spheres
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Stabilized Finite Element Formulations for Incompressible Flow Computations
- Stochastic Mode Reduction for the Immersed Boundary Method
- Langevin equation method for the rotational Brownian motion and orientational relaxation in liquids
- Coupling of Navier–Stokes equations with protein molecular dynamics and its application to hemodynamics
- Reproducing kernel particle methods
- Computational fluctuating fluid dynamics
- Hydrodynamic fluctuations and Stokes' law friction
- Contributions to Non-Equilibrium Thermodynamics. I. Theory of Hydrodynamical Fluctuations
- Finite element methods for flow problems with moving boundaries and interfaces
- Handbook of stochastic methods for physics, chemistry and natural sciences.