# Two Relaxation Time Lattice Boltzmann Method Coupled to Fast Fourier Transform Poisson Solver: Application to Electroconvective Flow

## TL;DR

This paper presents a coupled computational approach combining a two-relaxation-time Lattice Boltzmann Method with a Fast Fourier Transform Poisson solver to accurately simulate electroconvective flows between parallel electrodes.

## Contribution

It introduces a novel multiphysics model integrating Lattice Boltzmann and FFT Poisson methods for electrohydrodynamic flow simulation.

## Key findings

- Model agrees with previous analytical and numerical results
- Provides a robust approach for electrohydrodynamic flow modeling
- Efficiently couples fluid, charge, and electric potential simulations

## Abstract

Electroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid and charge transport coupled to Fast Fourier Transport Poisson solver for the electric potential. The segregated model agrees with the previous analytical and numerical results providing a robust approach for modeling electrohydrodynamic flows.

---
Source: https://tomesphere.com/paper/1812.05711