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The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D Navier-Stokes equations for the purpose of direct numerical simulations. In this work we investigate its…

Fluid Dynamics · Physics 2009-01-06 Boris Levant , Fábio Ramos , Edriss S. Titi

The computational method of discrete dislocation dynamics (DDD), used as a coarse-grained model of true atomistic dynamics of lattice dislocations, has become of powerful tool to study metal plasticity arising from the collective behavior…

Materials Science · Physics 2023-09-27 Nicolas Bertin , Vasily V. Bulatov , Fei Zhou

We put forward a new type of spectral method for the direct numerical simulation of flows where anisotropy or very fine boundary layers are present. The mean idea is to take advantage of the fact that such structures are dissipative and…

Fluid Dynamics · Physics 2014-03-18 Kacper Kornet , Alban Pothérat

In this paper, we intend to address the high-order gas-kinetic scheme (HGKS) in the direct numerical simulation (DNS) of compressible isotropic turbulence up to the supersonic regime. With the consideration of robustness and accuracy, the…

Fluid Dynamics · Physics 2019-05-13 Guiyu Cao , Liang Pan , Kun Xu

Neural networks are emerging as a tool for scalable data-driven simulation of high-dimensional dynamical systems, especially in settings where numerical methods are infeasible or computationally expensive. Notably, it has been shown that…

Machine Learning · Computer Science 2024-09-16 Koen Minartz , Yoeri Poels , Simon Koop , Vlado Menkovski

Two-dimensional spectroscopy (2DS) is a powerful ultrafast technique for probing electronic and vibrational dynamics in complex microscopic systems. Extracting detailed information on system dynamics and system-bath interactions from 2DS…

Quantum Physics · Physics 2026-04-29 Yi-Xuan Yao , Hao-Yue Zhang , Cheng-Ge Liu , Rong-Hang Chen , Qing Ai , Franco Nori

We compare results from a spectral model for non-stationary, inhomogeneous turbulence (Besnard et al., Theor. Comp. Fluid. Dyn., vol. 8, pp 1-35, 1996) with Direct Numerical Simulation (DNS) data of a shear-free mixing layer (SFML)…

Fluid Dynamics · Physics 2016-08-03 Andrew D. Bragg , Susan Kurien , Timothy T. Clark

We conduct direct numerical simulation (DNS) of the Cahn-Hilliard-Navier-Stokes (CHNS) equations to investigate the statistical properties of the turbulent phase-separating symmetric binary-fluid mixture. Turbulence causes an arrest of the…

Fluid Dynamics · Physics 2019-07-24 Prasad Perlekar

The Poisson-Nernst-Planck (PNP) equations are one of the most effective model for describing electrostatic interactions and diffusion processes in ion solution systems, and have been widely used in the numerical simulations of biological…

Numerical Analysis · Mathematics 2023-12-19 Yang Liu , Shi Shu , Ying Yang

We study the numerical errors of large-eddy simulation (LES) in isotropic and wall-bounded turbulence. A direct-numerical-simulation (DNS)-aided LES formulation, where the subgrid-scale (SGS) term of the LES is computed by using filtered…

Fluid Dynamics · Physics 2022-08-05 H. Jane Bae , Adrian Lozano-Duran

Fluid thermodynamics underpins atmospheric dynamics, climate science, industrial applications, and energy systems. However, direct numerical simulations (DNS) of such systems can be computationally prohibitive. To address this, we present a…

Fluid Dynamics · Physics 2026-02-11 Luca Menicali , Andrew Grace , David H. Richter , Stefano Castruccio

Deterministic solutions of the Boltzmann equation represent a real challenge due to the enormous computational effort which is required to produce such simulations and often stochastic methods such as Direct Simulation Monte Carlo (DSMC)…

Numerical Analysis · Mathematics 2021-07-26 Walter Boscheri , Giacomo Dimarco

Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly demanding nature of these problems, efficient automatic mesh generators and…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 Junqi Zhang , Ankit Ankit , Hauke Gravenkamp , Sascha Eisenträger , Chongmin Song

DC marine architecture integrated with variable speed diesel generators (DGs) has garnered the attention of the researchers primarily because of its ability to deliver fuel efficient operation. This paper aims in modeling and to…

Other Computer Science · Computer Science 2017-10-31 Kuntal Satpathi , VSK Murthy Balijepalli , Abhisek Ukil

Maxwell's equations govern light propagation and its interaction with matter. Therefore, the solution of Maxwell's equations using computational electromagnetic simulations plays a critical role in understanding light-matter interaction and…

Optics · Physics 2024-06-12 Joowon Lim , Demetri Psaltis

Provable nonlinear stability bounds the discrete approximation and ensures that the discretization does not diverge. For high-order methods, discrete nonlinear stability and entropy stability, have been successfully implemented for…

Numerical Analysis · Mathematics 2023-12-14 Alexander Cicchino , Siva Nadarajah

Fluid mechanics is a fundamental field in engineering and science. Solving the Navier-Stokes equation (NSE) is critical for understanding the behavior of fluids. However, the NSE is a complex partial differential equation that is difficult…

Computational Physics · Physics 2023-04-10 Ayoub Farkane , Mounir Ghogho , Mustapha Oudani , Mohamed Boutayeb

The solution of nonlinear electromagnetic (EM) inverse scattering problems is typically hindered by several challenges such as ill-posedness, strong nonlinearity, and high computational costs. Recently, deep learning has been demonstrated…

Computational Physics · Physics 2020-01-08 Lianlin Li , Long Gang Wang , Fernando L. Teixeira

Weighted compact nonlinear schemes (WCNS) [Deng and Zhang, JCP 165(2000): 22-44] were developed to improve the performance of the compact high-order nonlinear schemes (CNS) by utilizing the weighting technique originally designed for WENO…

Computational Physics · Physics 2020-11-30 Huaibao Zhang , Fan Zhang , Chunguang Xu

Electrokinetic phenomena in nanopore sensors and microfluidic devices require accurate simulation of coupled fluid-electrostatic interactions in geometrically complex domains with irregular boundaries and adaptive mesh refinement. We…

Numerical Analysis · Mathematics 2026-02-19 Sudheer Mishra , Sundararajan Natarajan , E. Natarajan , Gianmarco Manzini
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