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A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al.…

Computational Physics · Physics 2013-12-03 Jun Li , Donald Brown

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

Numerical Analysis · Mathematics 2023-12-27 Mina Karimi , Kaushik Bhattacharya

Numerical simulation of fluids plays an essential role in modeling many physical phenomena, such as weather, climate, aerodynamics and plasma physics. Fluids are well described by the Navier-Stokes equations, but solving these equations at…

Fluid Dynamics · Physics 2022-04-27 Dmitrii Kochkov , Jamie A. Smith , Ayya Alieva , Qing Wang , Michael P. Brenner , Stephan Hoyer

Vortex induced vibrations of bluff bodies occur when the vortex shedding frequency is close to the natural frequency of the structure. Of interest is the prediction of the lift and drag forces on the structure given some limited and…

Fluid Dynamics · Physics 2019-01-30 Maziar Raissi , Zhicheng Wang , Michael S. Triantafyllou , George Em Karniadakis

In this paper, we deal with the problem to predict the future 3D motions of 3D object scans from previous two consecutive frames. Previous methods mostly focus on sparse motion prediction in the form of skeletons. While in this paper we…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Shuaihang Yuan , Xiang Li , Anthony Tzes , Yi Fang

A novel approach to simulate dynamic, recurrent flows with very large time steps is presented. Data-driven forecasts based on the method of analogues are made employing a set of precomputed time series segments of flow fields. These…

Fluid Dynamics · Physics 2024-02-22 Thomas Lichtenegger

In the recent years, the domain of fast flow field prediction has been vastly dominated by pixel-based convolutional neural networks. Yet, the recent advent of graph convolutional neural networks (GCNNs) have attracted a considerable…

Fluid Dynamics · Physics 2021-12-22 Junfeng Chen , Elie Hachem , Jonathan Viquerat

We present a novel deep learning framework for flow field predictions in irregular domains when the solution is a function of the geometry of either the domain or objects inside the domain. Grid vertices in a computational fluid dynamics…

Machine Learning · Computer Science 2021-09-20 Ali Kashefi , Davis Rempe , Leonidas J. Guibas

In this paper, two mesh-free CFD solvers for pore-scale fluid flow through porous media are considered, namely the Lattice Boltzmann Method with the two relaxation time collision term and the direct Navier-Stokes solver under the artificial…

Fluid Dynamics · Physics 2025-09-12 Dawid Strzelczyk , Miha Rot , Gregor Kosec , Maciej Matyka

We investigate uncertainty estimation and multimodality via the non-deterministic predictions of Bayesian neural networks (BNNs) in fluid simulations. To this end, we deploy BNNs in three challenging experimental test-cases of increasing…

Fluid Dynamics · Physics 2022-05-04 Maximilian Mueller , Robin Greif , Frank Jenko , Nils Thuerey

Oil-flow visualizations represent a simple means to reveal time-averaged wall streamline patterns. Yet, the evaluation of such images can be a time-consuming process and is subjective to human perception. In this study, we present a fast…

Fluid Dynamics · Physics 2025-04-09 Jonas Schulte-Sasse , Ben Steinfurth , Julien Weiss

Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible)…

Fluid Dynamics · Physics 2016-10-03 Jun Li , Minh Tuan Ho , Lei Wu , Yonghao Zhang

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

Computational Engineering, Finance, and Science · Computer Science 2017-11-02 Christoph Rettinger , Ulrich Rüde

This paper is concerned with a space-time adaptive numerical method for instationary porous media flows with nonlinear interaction between porosity and pressure, with focus on problems with discontinuous initial porosities. A convergent…

Numerical Analysis · Mathematics 2025-08-27 Markus Bachmayr , Simon Boisserée

High-fidelity reconstruction of fluids from sparse multiview RGB videos remains a formidable challenge due to the complexity of the underlying physics as well as complex occlusion and lighting in captures. Existing solutions either assume…

This paper aims to provide a machine learning framework to simulate two-phase flow in porous media. The proposed algorithm is based on Physics-informed neural networks (PINN). A novel residual-based adaptive PINN is developed and compared…

Numerical Analysis · Mathematics 2022-06-01 John M. Hanna , Jose V. Aguado , Sebastien Comas-Cardona , Ramzi Askri , Domenico Borzacchiello

The predictive accuracy of the Navier-Stokes equations is known to degrade at the limits of the continuum assumption, thereby necessitating expensive and often highly approximate solutions to the Boltzmann equation. While tractable in one…

Fluid Dynamics · Physics 2023-07-25 Ashish S. Nair , Justin Sirignano , Marco Panesi , Jonathan F. MacArt

We consider non-spherical rigid body particles in an incompressible fluid in the regime where the particles are too large to assume that they are simply transported with the fluid without back-coupling and where the particles are also too…

Fluid Dynamics · Physics 2021-09-07 Henry von Wahl , Thomas Richter

This paper introduces a physics-informed machine learning approach for pathloss prediction. This is achieved by including in the training phase simultaneously (i) physical dependencies between spatial loss field and (ii) measured pathloss…

Machine Learning · Statistics 2023-12-15 Steffen Limmer , Alberto Martinez Alba , Nicola Michailow

Networks of interconnected resistors, springs and beams, or pores are standard models of studying scalar and vector transport processes in heterogeneous materials and media, such as fluid flow in porous media, and conduction, deformations,…

Computational Physics · Physics 2019-08-12 Hassan Dashtian , Muhammad Sahimi