Finite-difference methods for simulation models incorporating non-conservative forces

TL;DR

This paper explores finite-difference algorithms for solving second-order ODEs, focusing on dissipative particle dynamics, and demonstrates their effectiveness in modeling phase separation and surface tension in fluid mixtures.

Contribution

It introduces and compares finite-difference algorithms tailored for dissipative particle dynamics, highlighting improvements over standard methods.

Findings

Successful modeling of phase separation in binary fluids

Effective simulation of surface tension effects

Comparison shows advantages of proposed algorithms

Abstract

We discuss algorithms applicable to the numerical solution of second-order ordinary differential equations by finite-differences. We make particular reference to the solution of the dissipative particle dynamics fluid model, and present extensive results comparing one of the algorithms discussed with the standard method of solution. These results show the successful modeling of phase separation and surface tension in a binary immiscible fluid mixture.