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Typical multispecies compressible Navier-Stokes computations employ conservative equations for mass fraction transport. Upwind discretisations of these governing equations produce spurious pressure oscillations at diffuse contact surfaces…

Computational Physics · Physics 2018-06-28 Ben Thornber , Michael Groom , David Youngs

We study the equilibrium dynamics of a single polymer chain under good solvent condition. Special emphasis is laid on varying the drag force experienced by the chain while it moves. To this end we model the solvent in a mesoscopic manner by…

Soft Condensed Matter · Physics 2019-05-01 Suman Majumder , Henrik Christiansen , Wolfhard Janke

Viscosity is a fundamental property of liquid lubricants, yet it is challenging to determine accurately, especially at high pressures. Although equilibrium molecular dynamics (EMD) simulations are a promising alternative to…

Computational Physics · Physics 2026-03-13 Gözdenur Toraman , Dieter Fauconnier , Toon Verstraelen

We apply to a liquid of linear molecules the semischematic mode-coupling model, previously introduced to describe the center of mass (COM) slow dynamics of a network-forming molecular liquid. We compare the theoretical predictions and…

Soft Condensed Matter · Physics 2009-10-31 Linda Fabbian , Rolf Schilling , Francesco Sciortino , Piero Tartaglia , Christoph Theis

In this paper, we present an hp-adaptive hybrid Discontinuous Galerkin/Finite Volume method for simulating compressible, turbulent multi-component flows. Building on a previously established hp-adaptive strategy for hyperbolic gas- and…

Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important examples include gene expression and enzymatic processes in living cells. Such systems are typically modelled as chemical reaction networks whose…

Quantitative Methods · Quantitative Biology 2017-01-13 David Schnoerr , Guido Sanguinetti , Ramon Grima

Stochastic simulation methods can be applied successfully to model exact spatio-temporally resolved reaction-diffusion systems. However, in many cases, these methods can quickly become extremely computationally intensive with increasing…

Quantitative Methods · Quantitative Biology 2016-04-29 Jonathan U. Harrison , Christian A. Yates

We develop a Fluctuating Immersed Boundary (FIB) method for performing Brownian dynamics simulations of confined particle suspensions. Unlike traditional methods which employ analytical Green's functions for Stokes flow in the confined…

Soft Condensed Matter · Physics 2015-06-29 S. Delong , F. Balboa Usabiaga , R. Delgado-Buscalioni , B. E. Griffith , A. Donev

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

In this review, we describe and analyze a mesoscale simulation method for fluid flow, which was introduced by Malevanets and Kapral in 1999, and is now called multi-particle collision dynamics (MPC) or stochastic rotation dynamics (SRD).…

Soft Condensed Matter · Physics 2009-11-13 G. Gompper , T. Ihle , D. M. Kroll , R. G. Winkler

We present a new mesoscale model for ionic liquids based on a low Mach number fluctuating hydrodynamics formulation for multicomponent charged species. The low Mach number approach eliminates sound waves from the fully compressible…

Fluid Dynamics · Physics 2020-09-23 Katherine Klymko , Sean P. Carney , Andrew Nonaka , Alejandro L. Garcia , John B. Bell

The Fokker-Planck (FP) equation represents the drift-diffusive processes in kinetic models. It can also be regarded as a model for the collision integral of the Boltzmann-type equation to represent thermo-hydrodynamic processes in fluids.…

Fluid Dynamics · Physics 2025-04-15 William Schupbach , Kannan Premnath

We derive and analyze a new diffuse interface model for incompressible, viscous fluid mixtures with bulk-surface interaction. Our system consists of a Navier--Stokes--Cahn--Hilliard model in the bulk that is coupled to a surface…

Analysis of PDEs · Mathematics 2025-09-16 Patrik Knopf , Jonas Stange

We describe recent developments in the hybrid atomistic/continuum modelling of dense fluids. We discuss the general implementation of mass, momentum and energy transfers between a region described by molecular dynamics and the neighbouring…

Computational Physics · Physics 2007-05-23 R. Delgado-Buscalioni , P. V. Coveney

A multispecies diffuse interface model is formulated in a fluctuating hydrodynamics framework for the purpose of simulating surfactant interfaces at the nanoscale. The model generalizes previous work to ternary mixtures, employing a…

Fluid Dynamics · Physics 2025-08-26 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

Computational fluid dynamics (CFD) simulations are broadly applied in engineering and physics. A standard description of fluid dynamics requires solving the Navier-Stokes (N-S) equations in different flow regimes. However, applications of…

Computational Engineering, Finance, and Science · Computer Science 2021-12-14 Shen Wang , Mehdi Nikfar , Joshua C. Agar , Yaling Liu

In this paper we discuss the formulation of the fuctuating Navier-Stokes (FNS) equations for multi-species, non-reactive fluids. In particular, we establish a form suitable for numerical solution of the resulting stochastic partial…

Fluid Dynamics · Physics 2014-01-17 Kaushik Balakrishnan , Alejandro L. Garcia , Aleksandar Donev , John B. Bell

We use lattice Boltzmann simulations, in conjunction with Ewald summation methods, to investigate the role of hydrodynamic interactions in colloidal suspensions of dipolar particles, such as ferrofluids. Our work addresses volume fractions…

Mesoscale and Nanoscale Physics · Physics 2009-10-20 Eunhye Kim , Kevin Stratford , Philip J. Camp , Michael E. Cates

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…