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We present a set of effective outflow/open boundary conditions and an associated algorithm for simulating the dynamics of multiphase flows consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids in domains involving outflows or…

Fluid Dynamics · Physics 2018-05-09 Zhiguo Yang , Suchuan Dong

Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present in this paper several new forms of open boundary conditions for…

Fluid Dynamics · Physics 2014-12-31 S. Dong , X. Wang

We consider nonlinear multibody systems and present a suitable set of coordinates for the internal dynamics which allow to decouple the internal dynamics without the need to compute the Byrnes-Isidori form. Furthermore, we derive sufficient…

Dynamical Systems · Mathematics 2021-03-23 Lukas Lanza

We describe a method that focuses sampling effort on a user-defined selection of a large system, which can lead to substantial decreases in computational effort by speeding up the calculation of nonbonded interactions. A naive approach can…

Statistical Mechanics · Physics 2023-08-28 Joshua Fass , Forrest York , Matthew Wittmann , Joseph Kaus , Yutong Zhao

We propose a computational method to simulate anomalous self-diffusion in a simple liquid. The method is based on a molecular dynamics simulation on which we impose the following two conditions: firstly, the inter-particle interaction is…

Statistical Mechanics · Physics 2010-04-07 Simon Standaert , Jan Ryckebusch , Lesley De Cruz

Composite system is studied in noncommutative phase space with preserved rotational symmetry. We find conditions on the parameters of noncommutativity on which commutation relations for coordinates and momenta of the center-of-mass of…

Quantum Physics · Physics 2018-02-27 Kh. P. Gnatenko , V. M. Tkachuk

We develop a cavity-based method which allows to extract thermodynamic properties from position information in hard-sphere/disk systems. So far, there are 'available-volume' and 'free-volume' methods. We add a third one, which we call…

Soft Condensed Matter · Physics 2015-09-29 Michael Schindler , A. C. Maggs

A crucial issue in fluid dynamics is related to the knowledge of the fluid pressure. A new general pressure equation is derived from compressible Navier-Stokes equation. It is argued that this new pressure equation allows unifying…

Fluid Dynamics · Physics 2020-05-12 Adrien Toutant

The effects of a finite system volume on thermodynamic quantities, such as the pressure, energy density, specific heat, speed of sound, conserved charge susceptibilities and correlations, in hot and dense strongly interacting matter are…

High Energy Physics - Phenomenology · Physics 2024-01-12 Somenath Pal , Anton Motornenko , Volodymyr Vovchenko , Abhijit Bhattacharyya , Jan Steinheimer , Horst Stoecker

The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan-Maxwell model, which describes the evolution of the composition of a multi-component mixture and reads as a cross-diffusion system. The…

Numerical Analysis · Mathematics 2020-07-21 Clément Cancès , Virginie Ehrlacher , Laurent Monasse

The stability criteria for spatially flat homogeneous and isotropic cosmological dynamical system is investigated with the interaction of a scalar field endowed with a perfect fluid.In this paper, we depict the dynamical system perspective…

General Relativity and Quantum Cosmology · Physics 2021-01-25 S. Surendra Singh , Chingtham Sonia

Numerous mathematical models have emerged in the medical literature over the past two decades attempting to characterize the pressure and volume dynamics the central nervous system compartment. These models have been used to study he…

Numerical Analysis · Mathematics 2025-10-20 James M. Drake , Sivabal Sivaloganathan , Guiseppe Tenti

In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip boundary condition and prove that the nonlocal model is…

Analysis of PDEs · Mathematics 2022-03-30 Qiang Du , Zuoqiang Shi

Mixed atomistic and continuum methods offer the possibility of carrying out simulations of material properties at both larger length scales and longer times than direct atomistic calculations. The quasi-continuum method links atomistic and…

Materials Science · Physics 2007-05-23 V. B. Shenoy , R. Miller , E. B. Tadmor , D. Rodney , R. Phillips , M. Ortiz

We describe a novel coarse-grained simulation method for modelling the dynamics of globular macromolecules, such as proteins. The macromolecule is treated as a continuum that is subject to thermal fluctuations. The model includes a…

Computational Physics · Physics 2015-06-11 Robin Oliver , Daniel J. Read , Oliver G. Harlen , Sarah A. Harris

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro

We consider the dynamics of two-phase fluids, in particular the moving contact line, on a solid substrate. The dynamics are governed by the sharp-interface model consisting of the incompressible Navier-Stokes\slash Stokes equations with the…

Computational Physics · Physics 2020-07-15 Quan Zhao , Weiqing Ren

We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

Chaotic Dynamics · Physics 2009-11-10 P. Palaniyandi , M. Lakshmanan

We introduce a new type of boundary conditions, {\it smooth boundary conditions}, for numerical studies of quantum lattice systems. In a number of circumstances, these boundary conditions have substantially smaller finite-size effects than…

Condensed Matter · Physics 2009-10-22 M. Vekic , S. R. White

In this work we present, for the first time, a computational fluid dynamics tool for the simulation of the metered discharge in a pressurized metered dose inhaler. The model, based on open-source software, adopts the Volume-Of-Fluid method…

Fluid Dynamics · Physics 2025-08-08 Riccardo Rossi , Ciro Cottini , Andrea Benassi