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A numerical hydrodynamic model of a vibrated granular bed in 2D is elaborated based on a highly accurate Shock Capturing scheme applied to the compressible Navier-Stokes equations for granular flow. The hydrodynamic simulation of granular…

Statistical Mechanics · Physics 2007-05-23 Jose Antonio Carrillo , Thorsten Poeschel , Clara Saluena

A low-Mach-number flow, in the laminar regime, has intrinsically two characteristic spatial scales for a given time scale, or two characteristic temporal scales for a given spatial scale, and these dual scales are very different due to the…

Equation-free approaches have been proposed in recent years for the computational study of multiscale phenomena in engineering problems where evolution equations for the coarse-grained, system-level behavior are not explicitly available. In…

Dynamical Systems · Mathematics 2007-05-23 Yu Zou , Ioannis G. Kevrekidis , Roger G. Ghanem

Simulating the flow of different fluids can be a highly computational intensive process, which requires large amounts of resources. Recently there has been a lot of research effort directed towards GPU processing, which can greatly increase…

Computational Engineering, Finance, and Science · Computer Science 2019-07-17 Adrian Coman , Elena Apostol , Catalin Leordeanu , Emil Slusanschi

Scalable surrogate models enable efficient emulation of computer models (or simulators), particularly when dealing with large ensembles of runs. While Gaussian process (GP) models are commonly employed for emulation, they face limitations…

Methodology · Statistics 2025-10-07 Grant Hutchings , Derek Bingham , Kellin Rumsey , Earl Lawrence

Granular surface flows are common in industrial practice and natural systems, however, theoretical description of such flows is at present incomplete. Two prototype systems involving surface flow are compared: heap formation by pouring at a…

Soft Condensed Matter · Physics 2007-05-23 D. V. Khakhar , Ashish V. Orpe , J. M. Ottino

A parallel reservoir simulator has been developed, which is designed for large-scale black oil simulations. It handles three phases, including water, oil and gas, and three components, including water, oil and gas. This simulator can…

Computational Engineering, Finance, and Science · Computer Science 2016-10-10 Hui Liu , Lihua Shen , Kun Wang , Bo Yang , Zhangxin Chen

We present in this article a novel Lagrangian measurement technique: an instrumented particle which continuously transmits the force/acceleration acting on it as it is advected in a flow. We develop signal processing methods to extract…

We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored on the bottom surface, we develop an effective first-order…

Numerical Analysis · Mathematics 2022-09-09 Eduardo Abreu , Elena Bachini , John Perez , Mario Putti

To better understand the hydrodynamic flow behavior in turbulence, Particle-Fluid flow have been studied using our Direct Numerical(DNS) based software DSM on MUSCL-QUICK and finite volume algorithm. The particle flow was studied using…

Fluid Dynamics · Physics 2012-07-12 R. Dutta , Shar Sajjadi

In this paper, we propose to use the HLL finite volume scheme combined with implicit techniques for modelling the coupled surface and subsurface water flows. In our approach, we used the shallow water equations modelling surface water flow…

Numerical Analysis · Mathematics 2021-06-03 Hasan Karjoun , Abdelaziz Beljadid

The equation for the fluid velocity gradient along a Lagrangian trajectory immediately follows from the Navier-Stokes equation. However, such an equation involves two terms that cannot be determined from the velocity gradient along the…

Fluid Dynamics · Physics 2023-06-21 Xiaolong Zhang , Maurizio Carbone , Andrew D. Bragg

In this study we investigated the capabilities of the mesh-free, Lagrangian particle method (Smoothed Particle Hydrodynamics, SPH) to simulate the detailed hydrodynamic processes generated by both spilling and plunging breaking waves within…

We present numerical simulations of active fluid droplets immersed in an external fluid in 2-dimensions { using} an Immersed Boundary method to simulate the fluid droplet interface as a Lagrangian mesh. We present results from two example…

Soft Condensed Matter · Physics 2016-09-28 Carl A. Whitfield , Rhoda J. Hawkins

Traditional computational fluid dynamics calculates the physical information of the flow field by solving partial differential equations, which takes a long time to calculate and consumes a lot of computational resources. We build a fluid…

Fluid Dynamics · Physics 2022-02-28 Qiang Liu , Wei Zhu , Xiyu Jia , Feng Ma , Yu Gao

We study gradient flows of general functionals with linear growth with very weak assumptions. Classical results concerning characterisation of solutions require differentiability of the Lagrangian, as for the time-dependent minimal surface…

Analysis of PDEs · Mathematics 2025-03-19 Wojciech Górny , José M. Mazón

The two-phase oil-water flow in natural fractured reservoirs and its numerical methods are introduced in this paper, where the fracture is modeled by the dual porosity method. Efficient numerical method, including the finite difference…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Lihua Shen , Tao Cui , Hui Liu , Zhouyuan Zhu , He Zhong , Zhangxin Chen , Bo Yang , Ruijian He , Huaqing Liu

A novel smooth immersed boundary method (IBM) based on a direct-forcing formulation is proposed to simulate incompressible dense particle-laden flows. This IBM relies on a regularization of the transfer function between the Eulerian grid…

Computational Physics · Physics 2023-04-24 Victor Chéron , Fabien Evrard , Berend van Wachem

We develop several efficient numerical schemes which preserve exactly the global constraints for constrained gradient flows. Our schemes are based on the SAV approach combined with the Lagrangian multiplier approach. They are as efficient…

Numerical Analysis · Mathematics 2019-12-17 Qing Cheng , Jie Shen

We seek to accelerate and increase the size of simulations for fluid-structure interactions (FSI) by using multiple resolutions in the spatial discretization of the equations governing the time evolution of systems displaying two-way…

Fluid Dynamics · Physics 2017-08-02 Wei Hu , Wenxiao Pan , Milad Rakhsha , Qiang Tian , Haiyan Hu , Dan Negrut