Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Second-order lattice Fokker-Planck algorithm from the trapezoidal rule.

Benjamin Rotenberg1, Daniele Moroni

  • 1Université Pierre et Marie Curie-Paris6, Laboratoire Liquides Ioniques et Interfaces Chargées, UMR CNRS 7612, 4 pl. Jussieu, Paris F-75005, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
Summary

The lattice Fokker-Planck method is generalized using the trapezoidal rule for time integration, extending established lattice Boltzmann schemes. This advancement offers a new approach for simulating complex physical systems.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The Angular Localization Function (ALF): A Practical Tool to Measure Solvent Angular Order with Molecular Density Functional Theory.

The journal of physical chemistry. B·2026
Same author

Coupled concentration-charge dynamics in 1:1 electrolytes with unequal diffusion coefficients: Local transient response and fluctuations.

The Journal of chemical physics·2026
Same author

Brownian dynamics simulations of electric double-layer capacitors with tunable metallicity.

The Journal of chemical physics·2026
Same author

Poisson-Nernst-Planck charging dynamics of an electric double-layer capacitor: Symmetric and asymmetric binary electrolytes.

Physical review. E·2025
Same author

Charging Dynamics of Electric Double-Layer Nanocapacitors in Mean Field.

Physical review letters·2025
Same author

Dynamic correlations in a polar fluid: Confronting stochastic density functional theory to simulations.

The Journal of chemical physics·2025

Area of Science:

  • Computational physics
  • Numerical methods

Background:

  • The lattice Boltzmann method (LBM) is a widely used computational fluid dynamics technique.
  • Time integration is crucial for the accuracy and stability of LBM and related methods.
  • The trapezoidal rule is a standard numerical integration technique.

Purpose of the Study:

  • To generalize the trapezoidal rule-based derivation of lattice Boltzmann schemes.
  • To apply this generalization to the lattice Fokker-Planck (LFP) method.
  • To establish a robust numerical framework for the LFP method.

Main Methods:

  • Derivation of LFP schemes using the trapezoidal rule for time discretization.
  • Analysis of the stability and convergence properties of the generalized schemes.
  • Comparison with existing LFP or LBM approaches.

Related Experiment Videos

Main Results:

  • Successfully generalized the trapezoidal rule-based derivation to the LFP method.
  • Demonstrated the applicability and potential advantages of the new schemes.
  • Provided a theoretical foundation for the numerical implementation.

Conclusions:

  • The generalized approach offers a novel and effective way to implement the LFP method.
  • This work extends the utility of established numerical techniques to a broader class of problems.
  • The findings pave the way for more accurate and efficient simulations in relevant fields.