A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics

DOI10.1007/s10915-008-9244-2zbMath1203.65211OpenAlexW1995333840MaRDI QIDQ618447

Mohammed Seaid, Axel Klar, Philip Reuterswärd

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9244-2

zbMATH Keywords

Fokker-Planck equationssemi-Lagrangian methodfiber dynamicscomputational engineering

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Turbulent transport, mixing (76F25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (9)

SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE ⋮ A 3D MODEL FOR FIBER LAY-DOWN IN NONWOVEN PRODUCTION PROCESSES ⋮ On the Discretization of Some Nonlinear Fokker--Planck--Kolmogorov Equations and Applications ⋮ On the numerical solution of a convection-diffusion equation for particle orientation dynamics on geodesic grids ⋮ Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method ⋮ Instantaneous control of interacting particle systems in the mean-field limit ⋮ An anisotropic interaction model with collision avoidance ⋮ A semi-Lagrangian method for 3-D Fokker Planck equations for stochastic dynamical systems on the sphere ⋮ A computational realization of a semi-Lagrangian method for solving the advection equation

Cites Work

• Unnamed Item
• Unnamed Item
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• The modified method of characteristics with adjusted advection
• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• Fiber Dynamics in Turbulent Flows: General Modeling Framework
• Hydrodynamic Limit of a Fokker–Planck Equation Describing Fiber Lay-Down Processes
• Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Godunov-Mixed Methods for Advective Flow Problems in One Space Dimension
• A Stochastic Model and Associated Fokker–Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes
• Fiber Dynamics in Turbulent Flows: Specific Taylor Drag

This page was built for publication: A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics