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Many-body dissipative particle dynamics with energy conservation: temperature-dependent long-term attractive interaction
Heat and mass transfer during the process of liquid droplet dynamic behaviors has attracted much attention in decades. At mesoscopic scale, numerical...
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GENERIC-compliant simulations of Brownian multi-particle systems: modeling stochastic lubrication
A stochastic Lagrangian model for simulating the dynamics and rheology of a Brownian multi-particle system interacting with a simple liquid medium is...
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Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures
Molecular dynamics (MD) has served as a powerful tool for designing materials with reduced reliance on laboratory testing. However, the use of MD...
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Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme
We provide a numerical realization of an optimal control problem for pedestrian motion with agents that was analyzed in Herzog et al. ( Appl. Math....
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Stable and accurate schemes for smoothed dissipative particle dynamics
Smoothed dissipative particle dynamics (SDPD) is a mesoscopic particle method that allows to select the level of resolution at which a fluid is...
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Gaussian process hydrodynamics
We present a Gaussian process (GP) approach, called Gaussian process hydrodynamics (GPH) for approximating the solution to the Euler and...
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Learning Physics from Data: A Thermodynamic Interpretation
Experimental data bases are typically very large and high dimensional. To learn from them requires to recognize important features (a pattern), often...
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Discussions on the correspondence of dissipative particle dynamics and Langevin dynamics at small scales
We investigate the behavior of dissipative particle dynamics (DPD) within different scaling regimes by numerical simulations. The paper extends...
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Wave Propagation Dynamics in a Fractional Zener Model with Stochastic Excitation
Equations of motion for a Zener model describing a viscoelastic rod are investigated and conditions ensuring the existence, uniqueness and regularity...
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Dissipative Solvability of an Alpha Model of Fluid Flow with Memory
AbstractThe solvability, in some sense, of the initial–boundary value problem for an alpha model of a fluid with memory is analyzed. Namely, the...
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A note on hydrodynamics from dissipative particle dynamics
We calculate current correlation functions (CCFs) of dissipative particle dynamics (DPD) and compare them with results of molecular dynamics (MD) and...
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Aerodynamic/stealth design of S-duct inlet based on discrete adjoint method
It is a major challenge for the airframe-inlet design of modern combat aircrafts, as the flow and electromagnetic wave propagation in the inlet of...
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Geophysical Fluid Dynamics, Nonautonomous Dynamical Systems, and the Climate Sciences
This contribution introduces the dynamics of shallow and rotating flows that characterizes large-scale motions of the atmosphere and oceans. It then...
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Numerical Modeling of Passive Scalar Transport in Shallow Water Based on the Quasi-Gasdynamic Approach
AbstractA new method for the numerical solution of the passive scalar transport equation in the framework of hydrodynamic equations in the shallow...
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Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas
The present paper is devoted to the convergence analysis of a class of asymptotic preserving particle schemes (Filbet and Rodrigues in SIAM J. Numer....
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Algorithm for Solving the Four-Wave Kinetic Equation in Problems of Wave Turbulence
AbstractWe propose the method for numerical solution of four-wave kinetic equations that arise in the wave turbulence (weak turbulence) theory when...
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Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)
An overview of the smoothed dissipative particle dynamics (SDPD) method is presented in a format that tries to quickly answer questions that often...
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Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems
In the 1970s of the last century, the progress in powerful simulation software for mechanical multibody systems and for electrical circuits led to a...
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Bayesian Uncertainty Quantification for Particle-Based Simulation of Lipid Bilayer Membranes
A number of problems of interest in applied mathematics and biology involve the quantification of uncertainty in computational and real-world models....
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Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling
Equation-free macroscale modelling is a systematic and rigorous computational methodology for efficiently predicting the dynamics of a microscale...
